1. Field of the Invention
The present invention relates to an image forming apparatus such as a copier, a printer, or a facsimile device, and more particularly to a belt moving device such as an intermediate transfer belt or a sheet conveyor belt used in the image forming apparatus.
2. Description of the Related Art
In this type of belt moving device, a shifting guide is provided on an end surface of the belt to suppress belt shifting when the belt is driven. However, the straightness of the shifting guide is approximately 200 μm/1200 mm, and therefore the belt meanders, leading to deviation in the belt position as the driving time lengthens. In a tandem type color copier, for example, belt meandering of this type causes registration variation in the main scanning direction of a formed image. Hence, in a conventional belt moving device, the belt traveling speed is typically controlled, as described in publications such as Japanese Unexamined Patent Application Publication 2005-091943, Japanese Unexamined Patent Application Publication H06-263281, and Japanese Unexamined Patent Application Publication 2003-241535.
However, as will be described below, it is difficult to achieve control with a satisfactory degree of precision in the conventional belt moving devices described in these publications, and as a result, color shift occurs in both the main scanning direction and the sub-scanning direction of the formed image. Accordingly, high quality images cannot be obtained.
It is an object of the present invention to provide a belt moving device and an image forming apparatus using the belt moving device which are capable of preventing color shift in both the main scanning direction and the sub-scanning direction of a formed image so that a high quality image can be obtained.
In an aspect of the present invention, a belt moving device comprises an endless belt; a drive roller for moving/stopping the endless belt; at least one opposing roller disposed in a position opposing the drive roller; a motor for rotating the drive roller; a position detecting means for detecting a position of the endless belt; moving means capable of moving at least one of the rollers to a vertical direction target rotation position; and belt shift control means for controlling belt shift in accordance with a traveling speed of the endless belt while the endless belt is in motion.
In another aspect of the present invention, a tandem type image forming apparatus uses a belt moving device as an intermediate transfer belt. The belt moving device comprises an endless belt; a drive roller for moving/stopping the endless belt; at least one opposing roller disposed in a position opposing the drive roller; a motor for rotating the drive roller; position detecting means for detecting a position of the endless belt; moving means capable of moving at least one of the rollers to a vertical direction target rotation position; and belt shift control means for controlling belt shift in accordance with a traveling speed of the endless belt while the endless belt is in motion.
The above and other objects, features and advantages of the present invention will become more apparent from the following detailed description taken with the accompanying drawings in which:
Before describing the present invention, the related art and the problems therein will be described with reference to the drawings.
First, an outline of a tandem type image forming apparatus employing an intermediate transfer belt will be described as an example of a belt moving device.
As shown in
Compared with the indirect transfer system, the direct transfer system is disadvantaged in that a sheet feeding device 6 and a fixing device 7 must be disposed respectively on the upstream side and downstream side of a tandem type image forming apparatus T in which the photosensitive bodies 1 are arranged in series, and as a result, the tandem type image forming apparatus T increases in size in a sheet conveyance direction. With the indirect transfer system, on the other hand, the secondary transfer position can be set comparatively freely. Moreover, the sheet feeding device 6 and fixing device 7 can be disposed so as to overlap the tandem type image forming apparatus T, enabling a reduction in size.
To prevent a size increase in the sheet conveyance direction of the former system, the fixing device 7 is disposed in close proximity to the tandem type image forming apparatus T. In so doing, however, the sheet S cannot be provided with sufficient leeway to bend, and therefore the fixing device 7 is likely to affect image formation on the upstream side due to an impact created when the tip end of the sheet S enters the fixing device 7 (this impact being particularly striking when the sheet is thick) and a speed difference between the sheet conveyance speed when passing through the fixing device 7 and the sheet conveyance speed of a transfer conveyor belt. With the latter system, on the other hand, the fixing device 7 can be disposed so as to provide the sheet S with sufficient leeway to bend, and therefore the fixing device 7 has substantially no effect on image formation.
In consideration of these points, tandem type electrophotographic devices employing the indirect transfer system have been gaining attention in recent years. As shown in
A representative example of a tandem type indirect transfer system electrophotographic device will now be described with reference to the drawings.
An endless belt-shaped intermediate transfer body 10 (to be referred to as an intermediate transfer belt 10 hereafter) is provided in the center of the copying device main body 600. As shown in the sectional view in
As shown in
Note that the constitution shown in
As shown in
The secondary transfer device 22 also has a sheet conveyance function for conveying the sheet to a fixing device 25 following image transfer. Needless to say, a transfer roller or a non-contact charger may be provided as the secondary transfer device 22. In this case, it becomes more difficult to provide the sheet conveyance function. Note that in the illustrated example, a sheet reversing device 28 for reversing the sheet so that images can be recorded on both surfaces of the sheet is provided below the secondary transfer device 22 and fixing device 25 in parallel with the tandem image forming apparatus 20. The fixing device 25, which fixes the transfer image onto the sheet, is provided in series with the secondary transfer device 22. The fixing device 25 presses a pressure roller 27 against an endless belt serving as a fixing belt 26.
The position of the intermediate transfer belt 10 used in this type of image forming apparatus and so on is controlled by a belt conveying device.
When copying is performed using the color electrophotographic device described above, an original is set on an original table 30 of the automatic document feeder 900. Alternatively, the automatic document feeder 900 is opened and the original is set on a contact glass 32 of the scanner 800, whereupon the automatic document feeder 900 is closed to hold the original in place. Then, when a start switch not shown in the drawing is depressed and the original is set on the automatic document feeder 900, the original is conveyed onto the contact glass 32. On the other hand, when the original is set on the contact glass 32, the scanner unit 800 is driven immediately such that a first traveling body 33 and a second traveling body 34 are caused to travel. Light is then emitted from a light source in the first traveling body 33 and reflection light is reflected toward the second traveling body 34 from the surface of the original. This light is then reflected by a mirror on the second traveling body 34 so as to pass through an image-forming lens 35 and enter a reading sensor 36, in which the content of the original is read.
Further, when the start switch not shown in the drawing is depressed, a drive motor not shown in the drawing drives one of the three support rollers 14, 15, 16 to rotate such that the other two support rollers are rotated thereby. As a result, the intermediate transfer belt 10 is caused to rotate. At the same time, the photosensitive bodies 40 in the respective image forming means 18 rotate such that monochrome images in black, yellow, magenta, and cyan are formed on the respective photosensitive bodies 40. Then, as the intermediate transfer belt 10 rotates, these monochrome images are transferred thereon in succession such that a synthetic color image is formed on the intermediate transfer belt 10.
Meanwhile, when the start switch not shown in the drawing is depressed, one of a plurality of feed rollers 42 of the sheet feeding table 700 is rotated selectively such that sheets are fed from one of a plurality of sheet feeding cassettes 44 provided in tiers in a paper bank 43. After being separated into single sheets by a separating roller 45, the sheet is introduced into a feed passage 46 and led to a feed passage 48 in the copier main body 600 by a conveyance roller 47. The sheet is conveyed until it impinges on and is halted by a resist roller 49. Alternatively, when sheets are set on a manual feed tray 51, the sheets are fed onto the manual feed tray 51 by rotating a feed roller 50, separated into single sheets by a separating roller 52, introduced into a manual feed passage 53, and conveyed until they impinge on and are halted by the same resist roller 49.
The resist roller 49 is rotated at a timing corresponding to the synthetic color image on the intermediate transfer belt 10 such that the sheet is conveyed between the intermediate transfer belt 10 and the secondary transfer device 22, where the synthetic color image is transferred onto the sheet by the secondary transfer device 22 to form a color image.
Following image transfer, the sheet is conveyed to the fixing device 25 by the secondary transfer device 22. Heat and pressure are applied by the fixing device 25 to fix the transferred image, whereupon the sheet is switched by a switching pawl 55, discharged by a discharge roller 56, and stacked on a discharge tray 57. Alternatively, the sheet is switched by the switching pawl 55, introduced into the sheet reversing device 28, reversed thereby, and led back to the transfer position, where an image is recorded on the rear surface thereof. The sheet is then discharged onto the discharge tray 57 by the discharge roller 56. Meanwhile, residual toner remaining on the intermediate transfer belt 10 following image transfer is removed by the intermediate transfer belt cleaning device 17 in preparation for the next image forming operation by the tandem image forming apparatus 20. The resist roller 49 is typically grounded, but may be applied with a bias to remove paper particles therefrom.
The position of the intermediate transfer belt used in this type of image forming apparatus and so on is controlled by a belt conveying device. Control performed by the belt conveying device shown in
Control means (not shown) determine speed fluctuation (offset of the drive shaft) in the belt 1801 on the basis of the relationship between the index signal and a mark detection signal, and perform speed control to correct the offset. The belt 1801 is used as an intermediate transfer belt of an image forming apparatus and rotates once for every color used to form an image. The drive speed pattern of the first color is read from the mark 1804 on the belt 1801 and serves as the speed pattern of the second color onward.
To prevent speed fluctuation in the belt 1801 due to offset of the drive roller 1802, the drive roller 1802 is subjected to speed control in order to cancel out the speed fluctuation of the belt 1801. More specifically, using deviation in the belt circumference, an association between the rotary angle of the drive roller 1802 and the speed fluctuation of the belt 1801 is determined by Fourier transform, whereupon phase and modulation are applied to a target speed of the drive roller 1802 such that the speed of the belt 1801 is controlled to a fixed level.
However, in the belt conveying device described above, the position of the belt 1801 is controlled through speed control, and therefore positional deviation increases over time. This deviation appears as color shift during color copying, when toner images in four colors, namely black, yellow, magenta and cyan, are superposed in sequence onto the intermediate transfer belt. When a position error is generated due to an external disturbance or the like, the error appears as color shift. In other words, when position control is performed, a target position can be reached after color shift occurs at a certain point in time. With the conventional speed control described above, on the other hand, color shift cannot be corrected once a position error has occurred.
To improve control in the sub-scanning direction, Japanese Unexamined Patent Application Publication 2003-241535 proposes a technique for reducing belt speed fluctuation such as bounding and positional deviation from a target belt position, and preventing color shift in a formed image such that high-quality images are formed. In this technique, a belt surface target position command 1 is converted directly into a drive shaft target position (angle). A belt surface target position command 2 is compared with a belt surface position (target surface position) by comparison means 301, whereupon the deviation therebetween is calculated by surface position control means 302, converted into a drive shaft target position (angle), and added to the command 1 by addition means 303. A deviation between the drive shaft target position (angle) and a drive shaft angle is obtained by comparison means 304, calculated by position control means 305, and applied to a drive subject motor as a current, whereby the drive subject is driven to follow a target position. According to this publication, a belt moving device that is capable of reducing belt speed fluctuation such as bounding and positional deviation from a target belt position and preventing color shift in an image formed by the device such that high-quality images are formed can be provided.
Next, an embodiment of the present invention for solving the problems in the related art described above will be described in detail.
As shown in the drawing, this belt moving device comprises an endless belt 101 serving as a drive subject. A 2D measurement pattern 107 is formed in a predetermined position on the rear surface of the endless belt. The endless belt 101 is wrapped around and stretched by a drive roller 102 for moving or stopping the endless belt 101, a movable roller 301 configured to be capable of moving in the vertical direction of the drawing, and a plurality of support rollers (driven shafts) 111. The endless belt 101 is connected to a sub-scanning motor 106 serving as a drive source via a transfer system including the drive roller 102 and its shaft (drive shaft), a drive shaft gear 103, a motor shaft gear 104, and so on, and is driven in the movement (sub-scanning) direction by the sub-scanning motor 106.
Further, a 2D sensor 108A is disposed within the inner periphery of the endless belt 101 so as to face the 2D measurement pattern 107 on the endless belt 101 and read signals therefrom. The 2D sensor 108A is capable of detecting the position of the endless belt 101 in a belt shift (main scanning) direction and the belt movement (sub-scanning) direction. Calculations for controlling the endless belt 101 are implemented by a controller 200, and main scanning direction control is performed by driving roller moving means (also referred to as moving means) 300. Sub-scanning direction control is performed by driving the sub-scanning motor 106. Further, a belt drive shaft encoder (detection sensor; not shown) for detecting the rotation of the drive shaft 102 is attached to one end of the drive roller 102.
Here, the transfer mechanism for transferring the driving force of the belt moving device is constituted by gears, but a transfer mechanism constituted by a timing belt or a direct mechanism in which a motor is directly connected to the drive subject may also be employed.
Next, the hardware configuration of the controller 200 will be described with reference to
First, a microcomputer 201 responsible for overall control is provided. The microcomputer 201 is responsible for control of the entire moving mechanism. A microprocessor (CPU) 202, read-only memory (ROM) 203, and random access memory (RAM) 204 are respectively connected to the microcomputer 201 via a bus.
Further, sensor output corresponding to movement of the 2D measurement pattern 107 from the 2D sensor (main scanning sensor and sub-scanning sensor) 108A is input into the microcomputer 201 via correction information creating means 109, a condition detecting interface 205, and a bus 206. Here, the condition detecting interface 205 processes a marker output count (rough counter) and a signal interpolation clock count (close counter) from the correction information creating means 109 as well as the count of a drive shaft encoder 108B (detection sensor B), and converts the counts into digital numerical values. Thus, the condition detecting interface 205 has a function for counting a pulse count. At this time, the condition detecting interface 205 may also have a function for using origin (home position) information held by the correction information creating means 109 to form an association (correlation) with the movement position of the endless belt 101.
Further, the sub-scanning motor 106 is connected to the microcomputer 201 via the bus 206, a driving I/F 208, and a driver 209. Driving I/Fs 208, 210 convert a digital signal of a calculation result from the microcomputer 201 into an analog signal, apply the analog signal to motor driving drivers 209, 211 serving as driving devices, and thereby control the current and voltage that are applied to the sub-scanning motor 106. As a result, the endless belt 101 is driven to follow a predetermined target position. The position of the endless belt 101 at this time is detected by the condition detecting interface 205 via the correction information creating means 109 as the sub-scanning sensor output of the 2D measurement pattern 107, and downloaded to the microcomputer 201. When the interval of the 2D measurement pattern 107 is wide, the correction information creating means 109 may perform positional interpolation within the interval of the 2D measurement pattern 107 using a clock.
The 2D sensor (main scanning sensor and sub-scanning sensor) 108A is also capable of detecting the position in a belt shift direction (main scanning direction). The detected position information is downloaded to the microcomputer 201, where a belt shift direction control calculation is performed, and then pressing means (an actuator) 306 are driven by the driver 211 via a movable roller driving interface 207 to drive the movable roller 301 in the vertical direction. A detection sensor 307 detects the position of the movable roller 301 and obtains position information (a movable roller angle) for driving the movable roller. A linear motor is used as the pressing means 306, and a linear sensor attached to the linear motor is used as the detection sensor 307. However, a rotary motor and a device that moves [the motor] linearly using a cam may be used for these partsi. Further, the period and phase of offset during a single revolution of the roller may be detected by a sensor that detects the rotary angle of the movable roller 301.
A position control method of the belt moving device according to this embodiment is executed by the calculation processing function of the microcomputer 201, as described above. Needless to say, however, a DSP (digital signal processor) having a higher numerical processing capacity may be used instead of the microcomputer 201.
Next, referring to
In the movable roller 301, a movable roller shaft 302 serving as a shaft of the movable roller 301 is supported rotatably at one end by a self-aligning bearing 303 and at the other end by a bearing holder 304. The bearing holder 304 is biased in one direction by spring means 305 and contacted on the opposite side by the pressing means (actuator) 306 constituted by a linear motor or the like. As the pressing means 306 move in the vertical direction, the movable roller 301 rotates (pivots) about the self-aligning bearing 303 such that the angle thereof (the movable roller angle) varies from a predetermined movable roller 301 position (an initial position, for example).
When the movable roller 301 is parallel to the drive roller (drive shaft) 102, as shown in
Here, the transfer characteristic of the roller moving means 300 according to this embodiment is illustrated by the following formulae. The optimum position of the movable roller (optimum roller position) at this time is set at θ=0. Belt shifting is thus eliminated.
Id2θ/dt2=fl cos θ+mgl cos θ−Kxl cos θ−bdθ/dt Eq. (1)
where I is a moment of inertia, f is the force of the actuator, l is the distance from the rotary center, m is the weight of the rotary part, K is a spring constant, b is a viscous braking coefficient, g is gravitational acceleration, and θ is the angle of the movable roller.
x=l sin θ Eq. (2)
I=mr2 Eq. (3)
When θ0,
Equation (1) is as follows.
Id2θ/dt2=fl+mgl−Klθl−bθ/dt Eq. (4)
When Equation (4) is subjected to Laplace transform, the dynamics of the moving means are as shown in Equation (5).
Is2Θ(s)=F(s)l+mgl−Kl2Θ(s)−bsΘ(s)
Θ(s)(Is2+Kl2+bs)=F(s)l+mgl
Θ(s)=1/Is2+bs+Kl2(F(s)l+mgl) Eq. (5)
Further, the belt shifting variation rate is as shown in Equation (6).
dy/dt=Aθ Eq. (6)
where y is the belt shift position, and A is a constant determined by the belt traveling speed.
Position control according to this embodiment will now be described with reference to the block diagrams in
The belt shift position y is subtracted from a target shift position ref_y. The deviation therebetween is calculated by a controller A′. The calculation result is supplied to the movable roller driving actuator. The belt shift position variation rate is determined according to the movable roller angle and the value of the belt traveling speed, and thus a belt shifting speed vy is determined. By integrating the belt shifting speed vy, the belt shift position is determined. In this case, the shifting amount of the endless belt per unit time may be determined in advance by moving the belt at a constant speed in a state where the position of the movable roller is fixed in a vertical direction target rotation position.
Belt shift control will now be described in detail.
In this embodiment, the shifting amount of the intermediate transfer belt (endless belt) per unit time is determined in advance by moving the belt at a constant speed in a state where the angle (position) of the movable roller is fixed in a vertical direction target rotation position. Then, by controlling the angle of the movable roller on the basis of a value determined as described above corresponding to the belt traveling speed, belt shifting is prevented. When the belt is moved with a high degree of horizontal direction positional precision in this manner and this movement is applied to the intermediate transfer belt, a high-quality formed image with no color shift is obtained. Note that when the traveling speed is near zero, the calculation result of the controller is divided by zero, causing instability in the control system. When a determined value is used, however, stable position control can be realized.
A procedure for detecting the optimum roller position according to this embodiment will now be described using the flowchart in
First, the initial position of the movable roller 301 is set such that the gravitational force applied to the movable roller 301 is counterbalanced by the spring 305. The initial position of the movable roller 301 is set as r0. From this position (S12), movement control of the endless belt 101 is performed, and measurement of the belt shifting amount is begun (S13) at a constant speed (S11). When the endless belt 101 completes a single round trip (YES in S14), measurement of the belt shifting amount is terminated (S15). Needless to say, measurement is not limited to a single round trip of the belt, and the belt shifting amount may be determined by measuring belt movement over n round trips.
Next, the roller moving means 300 move the movable roller 301 from the initial position to a point A position (S16). Belt movement control is then performed in this position, and measurement of the belt shifting amount is begun at a constant speed (S17). When the endless belt completes a single round trip (YES in S18), measurement of the belt shifting amount is terminated (S19). Needless to say, the shifting amount may be determined by measuring belt movement over n round trips.
Next, the optimum roller position of the movable roller 301 is determined through calculation (S1a). This will be described in detail below using
Once the optimum roller position of the movable roller 301 has been determined, the movable roller 301 is moved to the optimum roller position, and feedback control is performed to hold the movable roller 301 in the optimum roller position. When belt movement control is performed in the optimum roller position (S1b), belt shifting can be suppressed.
Next, using
When the movable roller 301 is above the optimum position, the endless belt 101 shifts in a certain single direction (+direction, for example) as it moves, and when the movable roller 301 is below the optimum position, the endless belt 101 shifts in the opposite direction (− direction).
The point A in
The point B in
In terms of the flowchart shown in
Considering a case in which the endless belt 101 performs a single round trip, when the belt traveling speed is Vb, the belt circumference is Db1, the belt shifting amount during one round trip is Xb1r0, and the belt shifting speed is V×b1r0, for example, the following equation is obtained.
V×b1r0=Xb1r0/(Db1/Vb) Eq. (7)
Considering a case in which the endless belt 101 performs n round trips, when the belt shifting amount during n round trips is Xbnr0, and the belt shifting speed is V×bnr0, the following equation is obtained.
V×bnr0=Xbnr0/(n×Db1/Vb) Eq. (8)
Next, a method of determining the optimum roller position will be described with reference to
It is assumed that the position to which the movable roller 301 moves from the initial roller position r0 is r1. From this position, belt movement control is performed, and measurement of the belt shifting amount is begun at a constant speed. When the belt completes a single round trip, measurement of the belt shifting amount is terminated. Needless to say, the shifting amount may be determined by measuring n round trips and determining the belt shifting speed relative to the belt traveling speed.
When the belt shifting amount during one round trip is Xb1r1, the initial roller position is r0, and the initial roller position r0=0, the relationship between the belt shifting amount Xb and the roller position r is as shown in the following equation.
Xb=(Xb1r0−Xb1r1)/(0−r1)×r+Xb1r0 Eq. (9)
At this time, an optimum roller position ropt is located at the point where Xb=0, and therefore the following relationship is obtained.
Ropt=−Xb1r0/(Xb1r0−Xb1r1)/(0−r1) Eq. (10)
First, belt movement direction constant speed control and movable roller optimum position control are implemented (S21). Next, the belt shifting amount is detected by the 2D sensor 108A (S22). When the belt shifting amount is equal to or smaller than the prescribed value (Yes in S23), movement control of the endless belt 101 (belt movement direction constant speed control) is continued. When the belt shifting amount exceeds the prescribed value (No in S23), movement control of the endless belt 101 (belt movement direction constant speed control) is stopped, and the movable roller position is moved in a direction for causing the endless belt 101 to approach the initial position (S24). In this position, belt movement direction constant speed control and movable roller position control are performed (S25).
Next, when the endless belt 101 reaches the initial position in the main scanning direction (Yes in S26), movement control of the endless belt 101 is stopped, and the movable roller 301 is moved to the optimum position (S27). In this position, belt movement direction constant speed control and movable roller optimum position control are performed (S28).
The belt shifting amount is then detected by the 2D sensor 108A, and when the belt shifting amount exceeds the prescribed value (No in S29), the control of the step S24 onward for modifying the position of the movable roller 301 is repeated.
The belt shift control means are configured to include an integrator for integrating feedback signals serving as information relating to the detected roller position of the moving means, and comprise a controller for controlling the moving means 300 to fix the roller position of the moving means 300.
This constitution will now be described using
The following equation illustrates the transfer characteristic of the movable roller.
An input u corresponds to u=F(s)l+mgl in Equation (5) and the output corresponds to the roller angle Θ(s).
A transfer functionGθ=1/Is2+bs+Kl2 Eq. (11)
dy/dt=Aθ Eq. (6)
where y is the belt shift position, and A is a constant determined by the belt traveling speed.
A is set at y when the belt traveling speed is 0.1 m/s.
In this case, the roller offset frequency is 4.2441 Hz, and the time required for the endless belt to perform a single round trip is 2.355 seconds. Thus, the roller circumference and the belt circumference are integral multiples. Hence, by measuring the belt shifting amount in a single round trip, measurement errors caused by roller offset can be ignored.
Further, the belt shift control means comprise a controller for controlling the movement direction of the endless belt 101 on the basis of fed back surface position information relating to the endless belt 101.
In terms of the reference belt shift position variation rate γ
γ=0.1 e-3/2.5 e-4
Another example of the processing performed by the belt shift control means will now be described using
With the configuration shown in
In the belt moving device of this embodiment, the belt shift control means perform control to reduce shift position variation within a single round trip of the endless belt 101 by feeding back a target value for canceling out belt shift position variation within a single round trip of the endless belt 101 and feeding forward a value obtained by multiplying an inverse transfer characteristic of the roller moving means 300 by the transfer characteristic of the target value in relation to input into the pressing means (actuator) 306 of the roller moving means 300.
The following equation shows the output of the moving means (the angle of the movable roller) determined from the relationship shown in the block diagram of
u=R(s)/P(s)+C(s) (R(s)−θ(s)) Eq. (12-1)
θ(s)=P(s)u Eq. (12-2)
Therefore
θ(s)=P(s)R(s)/P(s)+P(s)C(s)(R(s)−θ(s))=R(s)+P(s)C(s)R(s)−P(s)C(s)θ(s) Eq. (12-3)
θ(s)(1+P(s)C(s))=R(s)(1+P(s)C(s)) Eq. (12-4)
θ(s)=R(s) Eq. (12-5)
where R(s) is a transfer function of the target value,
In addition to the constitution of
The following equation shows the output of the moving means (the angle of the movable roller) determined from the relationship shown in the block diagram of
u=R(s)/P(s)+C(s)(R(s)+R2(s)−θ(s)) Eq. (13-1)
θ(s)=P(s)u Eq. (13-2)
Therefore
θ(s)=P(s)R(s)/P(s)+P(s)C(s)(R(s)+R2(s)−θ(s))=R(s)+P(s)C(s)R(s)+P(s)C(s)R2(s)−P(s)C(s)θ(s) Eq. (13-3)
θ(s)(1+P(s)C(s))=R(s)(1+P(s)C(s))+P(s)C(s)R2(s) Eq. (13-4)
θ(s)=R(s)+P(s)C(s)/1+P(s)C(S)R2(s) Eq. (13-5)
where R(s) is a transfer function of the target value,
In the belt moving device that performs the control shown in the block diagram of
Θ(s)=1/Is2+bs+Kl2U(s) Eq. (14-1)
where the transfer characteristic Θ(s) of the moving means is the second order of Equation (14-1).
When the input of the transfer characteristic SIN(s) of the sine wave is a step function 1/s,
SIN(s)=ωs/s2+ω2 Eq. (14-2)
Hence, the feedforward item is
R(s)/P(s)=(Is2+bs+Kl2)ωs/s2+ω2 Eq. (14-3)
In Equation (14-3), the order of the numerator is too high to be realized, and therefore the numerator is multiplied by a filter having little effect on the transfer characteristic.
R(s)/P(s)=(Is2+bs+Kl2)ωs/s2+ω21/0.001s+1 Eq. (14-4)
In the belt moving device of this embodiment, the meander amount within a single round trip of the endless belt 101 is preferably detected by the main scanning detection sensor (2D sensor 108A) after eliminating the movement amount of the belt within a single round trip using the roller moving means 300.
Also in the belt moving device of this embodiment, the target value R(s) is preferably determined by subtracting the meander amount of the endless belt 101 detected by the 2D sensor 108A from the value of the roller angle detection sensor for detecting the roller angle of the movable roller 301 and the meander amount.
A curve (1) in
Meanwhile, a curve (2) in
As described above, in this embodiment, position control (shift control) is performed in the main scanning direction, but in addition to the shift control described heretofore, well-known position control in the sub-scanning direction may be performed simultaneously. For this purpose, a technique disclosed in the aforementioned Japanese Unexamined Patent Application Publication 2003-241535 may be employed.
A belt surface target position command 1 is converted directly into a drive shaft target position (angle). A command 2 is compared to the surface target position, whereupon the deviation therebetween is calculated using surface position control, converted into a drive shaft target position (angle), and added to the command 1. The deviation between the drive shaft target position (angle) and the drive shaft angle is calculated by position control means and applied to a motor as a current, whereupon the drive subject is driven to follow the target position. When there is no deviation in the surface position, drive shaft position control is performed in accordance with the command 1, and when a deviation occurs in the surface position due to belt slippage, offset of the drive shaft, and so on, the drive shaft target angle is corrected to eliminate the deviation.
Incidentally, using the shift detecting constitution described above, a function for monitoring irregularities in the device may be added easily. More specifically, by adding monitoring means for determining an irregularity in the belt moving device when it is detected that the relationship between the movable roller moving direction and the belt shift direction has reversed, the reliability of the device can be improved.
When the belt moving device of this embodiment is used as an intermediate transfer belt device of an image forming apparatus, positioning control can be performed with a high degree of precision in both the main scanning direction and sub-scanning direction, enabling the realization of an image forming apparatus in which color shift is suppressed, and hence this application is particularly favorable. However, the belt moving device of this embodiment is not limited to an image forming apparatus, and may be applied widely as a belt moving device for various other apparatuses with the aim of similarly improving precision.
Note that an intermediate transfer belt for an image forming apparatus was described above, but the belt moving device of the present invention is not limited thereto, and may of course be used as a belt moving device other than an intermediate transfer belt. The effects of the present invention as a belt moving device that can be driven with a high degree of precision are exhibited by subjecting the movement direction and shift direction positions of the belt to feedback control.
According to the above embodiment, the following effects are obtained.
(1) By subjecting the position in the belt shift direction to feedback control and feedforward control, a movable roller response with no time lag can be realized, and meandering in the main scanning direction due to offset in the movable roller can be suppressed.
(2) By adding a target value for correcting belt shifting within a single round trip period to the feedback control and feedforward control, shifting in the main scanning direction caused by tilting of the drive roller and movable roller can be suppressed, and a belt moving device in which an endless belt is not provided with a shift stopper can be realized.
(3) Since the target value takes the form of a sine wave and the control subject is of a second order, control to match the output to the target value with no time lag can be realized, and therefore meandering in the main scanning direction due to roller offset can be suppressed.
(4) By driving the belt in a roller position in which the shift amount of the belt within a single round trip period is smallest, the offset frequency and phase of the roller and the belt meander amount can be detected, and therefore a target value for correcting the meander a mount can be determined. Thus, meandering in the main scanning direction due to roller offset can be suppressed.
(5) According to the method of determining the target value for reducing the meander amount, the fact that roller offset occurs during each revolution is taken into account, and therefore phase deviation does not occur in the target value. Thus, meandering in the main scanning direction can be suppressed.
(6) The belt moving device is capable of performing positioning control with a high degree of precision in both the main scanning direction and sub-scanning direction of the intermediate transfer belt device, and therefore color shift in an image forming apparatus can be suppressed.
(7) By moving the endless belt at a constant speed and determining the movable roller position in which the belt shift amount is smallest, the shift amount can be suppressed even when the movable roller is not in an optimum position due to assembly irregularities. In other words, the optimum movable roller position can be found automatically by actually moving the endless belt, and therefore a belt moving device not provided with a belt shift stopper can be realized even when assembly irregularities occur among devices.
(8) The movable roller position in which the belt shift amount is smallest can be determined from the data of two points in each movable roller position. In other words, in comparison with a case in which the movable roller is moved to determine the optimum position through a process of trial and error, the optimum position of the movable roller can be determined efficiently from the relationship between the movable roller position and the characteristics of the belt shifting operation.
(9) As regards the behavior of the endless belt, the belt shifts due to tilting of the movable roller and drive roller, and also meanders due to roller offset. However, by making the circumference of the endless belt an integral multiple of the circumference of the movable roller, the effects of roller offset during a single round trip of the endless belt can be removed, and therefore the belt shift amount can be determined accurately. In other words, by making the circumference of the endless belt an integral multiple of the circumference of the movable roller, the geometrical disposition of the roller is identical to that of the previous round trip of the endless belt following a single round trip of the belt, and therefore the belt shift amount can be determined accurately.
(10) Even when belt shifting occurs, the endless belt can be returned to its initial position by moving the position of the movable roller. More specifically, when the endless belt makes many round trips, belt shifting occurs little by little even if control is performed in real time to set the position of the movable roller in the target position through feedback. However, by returning the belt shift position to the initial position, the belt moving device can be returned to a movable state automatically.
(11) The moving means are constituted by a moment of inertia, a spring, and an actuator, thereby forming a so-called resonance system, and by providing the controller with an integrator, the control can be stabilized. In other words, by providing the controller with an integrator, a position control system that is stable at all times can be realized, even when external disturbances such as frictional force and gravitational force are applied to the moving means.
(12) The surface position of the endless belt is fed back, and therefore the endless belt can be driven with a high degree of precision. More specifically, unlike conventional rotary encoder system feedback of a drive shaft and a motor shaft, the surface position of the endless belt is fed back directly, and therefore the endless belt can be driven with a high degree of precision.
(13) By determining an irregularity when the relationship between the position of the movable roller and the belt shift direction reverses, damage to the endless belt can be prevented. More specifically, when the belt shift position exceeds a prescribed value and the endless belt is moved after moving the movable roller, it is possible to detect the roller angle and belt shifting, and therefore the relationship between the position of the movable roller and the belt shift direction can be learned. When the relationship reverses, an irregularity is determined.
Various modifications will become possible for those skilled in the art after receiving the teachings of the present disclosure, without departing from the scope thereof.
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