1. Field of the Invention
The present invention relates to a belt moving device for controllably moving a belt and more particularly to a belt moving device capable of accurately controlling the position of an intermediate image transfer belt included in a color image forming apparatus, and an image forming apparatus including the same.
2. Description of the Background Art
An intermediate image transfer belt included in a color printer or similar color image forming apparatus has its position controlled by a belt moving device. The problem with a conventional belt moving device is that because it controls the position of the belt on a speed basis, positional deviation increases with the elapse of time. Particularly, in a color copier configured to sequentially transfer a black, a yellow, a magenta and a cyan toner image to the belt one above the other, the above positional deviation results in color misregister. The color misregister cannot be canceled when the positional deviation is derived from, e.g., disturbance. More specifically, while position control allows, even when misregister occurs, the belt to follow a target position later, speed control cannot do so. This will be described more specifically later with reference to the accompanying drawings.
Further, as for a drive roller for driving the belt, speed control is effective for a frequency as low as the rotation period of the roller, but cannot cope with banding or similar speed variation whose frequency is high.
Technologies relating to the present invention are disclosed in, e.g., Japanese Patent Laid-Open Publication Nos. 6-263281, 10-232566, 2001-5363 and 2002-258574.
It is an object of the present invention to provide a belt moving device capable of performing highly accurate position control by reducing banding or similar speed variation of a belt and positional deviation from a target belt position, and an image forming apparatus including the same and capable of forming high-quality images by obviating color misregister.
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:
To better understand the present invention, brief reference will be made to the prior art belt moving device taught in Japanese Patent Laid-Open Publication No. 6-263281 mentioned earlier. As shown in
Control means, not shown, determines the variation of the moving speed of the belt 1801, i.e., the eccentricity of the drive roller 1802 on the basis of a relation between the index signal and the output of the sensor 1805. The control means then executes speed control in such a manner as to compensate for the eccentricity. The belt 1801 is used as an intermediate image transfer belt included in an image forming apparatus and turns a number of times corresponding to the number of colors for forming an image. The control means reads a speed pattern during drive for the first color and uses it as a speed pattern for second and successive colors.
Further, to obviate the speed variation of the belt 1801 ascribable to the eccentricity of the drive roller 1802, the control means controls the speed of the drive roller 1802 in such a manner as to cancel the speed variation of the belt 1801. More specifically, by using the deviation of the circumferential length of the belt 1801, the control means determines correspondence between the rotation angle of the drive roller 1802 and the speed variation of the belt 1801 by Fourier transform. The control means then adds a phase and an amplitude to the target speed of the drive roller 1802 for thereby maintaining the speed of the belt 1801 constant.
However, a problem with the belt moving device described above is that because the position of the belt 1801 is controlled by speed control, the positional deviation increases with the elapse of time. As a result, after a positional error has occurred, the deviated condition cannot be corrected. Further, as for the drive roller 1802, the speed control cannot cope with high-frequency sped variation.
Referring to
A drum motor 113 is drivably connected to a photoconductive drum 110, which is a specific form of an image carrier, via a timing pulley 120, a timing belt 112, and a drive shaft 111 on which the drum 110 is mounted. A rotary encoder 114 is mounted on the drive shaft 111 for sensing the rotation of the drive shaft 111. The reference numeral 115 designates a secondary image transfer roller used to transfer a toner image from the belt 101 to a sheet or recording medium, as will be described more specifically later. The secondary image transfer roller 115 is connected to a motor, not shown, via a driveline including a timing pulley and timing belt.
The drum 110 and secondary image transfer roller 115 are positioned at opposite sides of a laser head 116; the former and the latter are respectively positioned at the upstream side and the downstream side in a direction in which the belt 101 moves, indicated by an arrow in FIG. 2. The drum 110 is rotatable in contact with the belt 101 while the belt 101 and secondary image transfer roller 115 are rotatable in contact with each other via a sheet. A charge roller, a cleaning blade and so forth are arranged around the drum 110, although not shown specifically. There are also shown in
While the belt moving device of the present invention is configured to drive the intermediate image transfer belt 101, the driveline shown in
The encoder 109 mounted on the drive shaft 102 or the rotary encoder mounted on the drive shaft 111 may be implemented as an eccentricity correction encoder. In this case, the eccentricity of the encoder, if any, can be corrected, so that motor position control is free from eccentricity position errors.
The detection I/Fs 205 and 207 each convert the associated encoder output to a digital numerical value and include a counter for counting encoder pulses. Further, by using the origin information of the encoders, the detection I/Fs 205 and 207 establish correspondence, or correlation, between the position of the belt 101 and that of the drum 110 on the basis of the counts.
The belt motor 106 is connected to the microcomputer 201 via a driver 209, a drive I/F 208, and the bus 206. Likewise, the drum motor 113 is connected to the microcomputer 201 via a driver 211, a drive I/F 210, and the bus 206. The drive I/Fs 208 and 210 each convert a digital signal representative of a particular result of calculation output from the microcomputer 201 to an analog signal and delivers the analog signal to the driver 209 or 211 associated therewith. Consequently, currents and voltages to be applied to the belt motor 106 and drum motor 113 are controlled.
With the above configuration, the microcomputer 201 causes each of the belt 101 and drum 110 to be driven in such a manner as to follow a preselected target position. The positions of the belt 101 and drum 110 being so controlled are sent to the microcomputer 201 via the detection I/Fs 205 and 207, respectively.
The position control of the belt moving device is implemented by the calculating function of the microcomputer 201. The microcomputer 201 may be replaced with a DSP (Digital Signal Processor) having high calculation performance, if desired. By processing software servo with a single DSP or a single microcomputer, it is possible to effect the calculation of a controller and an observer and the calculation of a target value locus and feed-forward value with software. This obviates the need for sophisticated circuitry for thereby realizing low cost, highly accurate positioning control.
Subsequently, another comparing means 304 compares the target drive shaft position or angle and a drive shaft angle. Position control means 305 produces a difference between the target drive shaft position and the drive shaft position and then feeds the difference to the motor 106 to be driven in the form of a current. As a result, the motor 106, i.e., the subject of drive is driven while following the target position.
So long as the belt surface position is coincident with the target belt surface position, the command 1 is directly used to control the position of the drive shaft 102. However, if the two positions are different from each other due to, e.g., the slip of the belt 101 or eccentricity produced in the drive shaft 102, then the target angle of the drive shaft 102 is so corrected as to cancel the difference, as stated above. As shown in
Subsequently, another comparing means 404 compares the target motor output shaft position or angle and a motor output shaft position or angle. Position control means 405 produces a difference between the target motor output shaft position and the motor output shaft position and then feeds the difference to the subject of drive, i.e., motor 106 in the form of a current. As a result, the motor 106 is driven to follow the target position.
So long as the surface position of the belt 101 is coincident with the target surface position, the command 1 is directly used to control the position of the belt motor 106. However, when the two positions are different from each other due to, e.g., the slip of the belt 101, the eccentricity of the drive shaft 102, the eccentricity of the timing pulley 103 or the shift of the core of the timing belt 104, the target output shaft angle of the belt motor 106 is corrected to cancel the difference, as stated above. As shown in
In the illustrative embodiment, the subject of drive is the drive transfer line extending from the belt motor 106 to the surface position of the belt 101, which is the subject of drive. With this configuration, it is possible to control the position of the belt 101 only on the basis of the output of the optical head or sensor 108, i.e., without using the output of the encoder 109.
A driven roller 605 may also be formed with teeth 606 meshing with the teeth 601 of the belt 101. When the driven roller 605 is not formed with the teeth 606, the length of the driven roller 605 will be reduced in the axial direction. While the belt 101 is shown as being passed over the drive roller 102 and driven roller 605, it is, in practice, passed over three or more rollers, as shown in FIG. 1. The rollers other than the rollers 102 and 605 each may also be formed with teeth or reduced in length in the axial direction, as desired.
The rollers on the driven shafts other than the drive shaft 102 each may be provided with a large coefficient of friction by being formed of, e.g., stainless steel and subject to dip coating. This successfully frees the rollers on the shafts other than the drive shaft 102 and not formed with the teeth 602 from slip.
More specifically, the disturbance estimation observer 1002 estimates the amount of acceleration disturbance in accordance with the drive shaft angle and the output of the adding means 103. The observer 1002 then converts the estimated amount to an estimated motor disturbance current id and feeds the current id to the adding means 1003.
The PI controller 1001 for controlling the drive shaft 102 has a transfer function PICON(S) expressed as:
PICON(S)=(T11+S+1)/(T12*S+1)*btgac*bhcf2*bhcf2 Eq. (1)
T11=1/(Wcd/sqrt(10)) Eq. (2)
T12=1/(Wcd*sqrt(10)) Eq. (3)
bhcf2=1/(S/(Wcd*4)+1) Eq. (4)
btgac=1/abs(T11*j*Wcd+1)*abs(T12*j*Wcd+1)*abs(btJt*btgear/btkt*j*Wced*j*Wcd Eq. (5)
where S denotes a Laplace operator, sqrt( ) denotes the square root of ( ), abs( ) denotes the absolute value of j denotes sqrt(−1), btJt denotes the inertia moment in terms of the motor shaft to be driven, btgear denotes the number of teeth of the motor shaft pulley and drive shaft pulley, and btkt denotes the torque constant of the motor. In the illustrative embodiment, Wcd is 30 Hz (188 rad/sec), btJt is 1.578*10−4, btgear is 4, and btkt is 0.078.
The open-loop transfer characteristics shown in
The disturbance estimation observer 1002 will be described more specifically hereinafter. Assuming that disturbance is acceleration disturbance, then Eqs. (6) and (7) shown below represent the state of the subject of drive, which is included in the timing belt system, inclusive of the acceleration disturbance:
where v denotes a velocity, x denotes a drive shaft angle, w denotes acceleration disturbance, and i denotes a motor current.
The minimum-order observer is determined by use of a canonical equation. Assuming that the poles of the observer γ1 and γ2 are −300 and −299, respectively, then the state of the minimum-order disturbance observer is expressed as:
where denotes a velocity,
denotes a drive shaft angle, and
denotes estimated acceleration disturbance.
The estimated acceleration disturbance is converted to an estimated motor disturbance current id by:
id=/(btkt/btjt/begear)×3 Eq. (10)
With the above procedure, the disturbance estimation observer. 1002 produces the estimated motor disturbance current from the drive shaft angle and motor current and feeds back the estimated current to the adding means 1003.
A target transfer function Gref(s) is expressed as:
Gref(s)=1/(a3*sigma3*s3+a2*sigma2*s2+al*sigma*s+1) Eq. (11)
sigma=0.095*2 Eq. (12)
alpha=0.2*2 Eq. (13)
al=(1−alpha)+alpha Eq. (14)
a2=(1−alpha)*0.3333+alpha*0.3786 Eq. (15)
a3=(1−alpha)*0.003704+alpha*0.1006 Eq. (16)
The transfer function Gnom(s) of the subject of control except for an oscillation term is produced by:
Gnom(s)=btkt*1/btJt*1/btgear*1/s2 Eq. (17)
In
Iff=Refpos(s)*Gref(s)/Gnom(s)/(shaft radius+belt thickness) Eq. (18)
A feedback system using, e.g., a general encoder produces a position or an angle from a count at the time when a controller read a count with an encoder counter, and compares it with a target value however, the count of the counter has uncertainty corresponding to the pulse period and makes control unstable; for example, the maximum error with a pulse period of 0.1 mm mounts to 0.1 mm. The illustrative embodiment uses a clock corresponding to a period of, e.g., 0.01 mm and effects interpolation by considering that the pattern signal period is constant. With this scheme, it is possible to make the position sensing error as small as speed variation.
Position control using the signal interpolating circuit 1501 will be described hereinafter. The signal interpolating circuit 1501 is made up of a pattern signal counter 1502 and a clock counter 1503 each of which may be implemented by a general counter having a gate input and a source input. Counts output from the two counters 1502 and 1503 are input to an image signal generator 1504.
The pattern signal counter 1502 receives via its gate either one of an origin signal, which appears every time the belt 101 makes one turn (i.e. every time the optical head 108 senses the encoder scale 107) and a signal output from the apparatus body. Such a signal triggers the counter 1502 as to counting operation. The pattern sense signal is input to the source of the counter 1502. The pattern sense signal and an interpolation clock are respectively input to the source and gate of the clock counter 1503.
In the above configuration, the pattern distance may be 0.1 mm while the pattern signal may have a frequency of about 1 kHz and varies by about 1% due to speed variation. The interpolation clock has a frequency of 100 kHz. In the event of motor control, a loop consisting of the input of counter data, inside calculation and motor drive output is executed, so that the reading of counter data varies in accordance with the processing speed.
For example, when the count of the pattern signal counter 1502 is “10”, it is probable that the position is 1 mm to 1.1 mm. At this instant, assume that the count of the clock counter 1503 is “50”. Then, as for motor control, by using a mean velocity of 100 mm/sec, it is determined that the count of the clock counter represented by 100 (mm/sec)×50 (count)/100 (kHz) is 0.05 mm. The overall position is therefore determined to be 1.05 mm. If the variation of the mean velocity is 1%, then the error of the clock counter is also 1% or below, so that the error is between 0.0499 mm to 0.0501 mm. In this manner, highly accurate sensing is achievable.
Reference will be made to
The image forming section 17 includes the drum or image carrier 110, a charger or charging means 1601, and a cleaning device 1602 including a cleaning blade and a fur brush. The image forming section 17 further includes an optical writing unit or exposing means, not shown, a revolver type developing unit or developing means (revolver hereinafter) 1603, an intermediate image transfer unit 1604, a secondary image transfer unit 1620, and a fixing unit, not shown, using a pair of rollers.
The drum 110 is rotatable counterclockwise, as indicated by an arrow in FIG. 17. Arranged around the drum 110 are the charger 1601, cleaning device 1602, designated one of developing sections forming the revolver 1603, and belt 101 included in the intermediate image transfer unit 1604. The optical writing unit converts the color image data output from the color scanner to an optical signal and scans the surface of the drum 110, which is uniformly charged by the charger 1601, with a laser beam L, thereby forming a latent image on the drum 110. The optical writing unit may include a semiconductor laser or light source, a laser driver, a polygonal mirror, a motor for driving the mirror, an f/θ lens and mirrors, although not shown specifically.
The revolver 1603 includes a Bk developing section 1611 using Bk toner, a C developing section 1612 using C toner, an M developing section 1613 using M toner, and a Y developing section 1614 using Y toner. A drive section, not shown, causes the revolver 1603 to bodily rotate counterclockwise, as viewed in FIG. 17. The developing sections 1611 through 1614 each include a sleeve or developer carrier, a paddle, and a drive section. The sleeve is caused to rotate clockwise, as viewed in
The developer is made up of toner grains and carrier grains formed of ferrite and. The toner grains are charged to negative polarity by being agitated together with the carrier grains. A bias power supply or bias applying means, not shown, applies a negative DC voltage Vdc biased by an AC voltage Vac to the sleeve. As a result, the sleeve is biased to a preselected voltage relative to the metallic core of the drum 110.
While the color copier is in a stand-by state, the revolver 1603 remains stationary at its home position with the Bk developing section 1611 facing the drum 110 at a developing position. When the operator of the copier presses a copy start key, the copier starts reading image data out of a document. The optical writing unit scans the charged surface of the drum 110 with the laser beam in accordance with the resulting color image data, thereby forming a latent image on the drum 110. Let the latent image derived from Bk image data be referred to as a Bk latent image. This is also true with the other colors C, M and Y.
The sleeve of the Bk developing section is caused start rotating before the leading edge of the Bk latent image arrives at the developing position, so that the Bk latent image is developed by the Bk toner. As soon as the trailing edge of the Bk latent image moves away from the developing position, the revolver 1603 is rotated to locate the next developing section at the developing position. This rotation is completed at least before the leading edge of a latent image derived from the next image data arrives at the developing position.
In the intermediate image transfer belt 1604, the belt 101 is passed over a plurality of rollers stated earlier. A secondary image transfer belt or sheet carrier 1605 included in the secondary image transfer unit 1620 is positioned adjacent the belt 101. Also arranged around the belt 101 are a bias roller or secondary image transfer roller 115 for secondary image transfer, a belt cleaning blade or belt cleaning means 1616, and a lubricant coating brush or coating means 1617.
More specifically, the belt 101 is passed over a bias roller or primary image transfer charge applying means 1625 for primary image transfer, a belt drive roller (drive shaft stated earlier) 102, a belt tension roller 1626, a back roller 1627, a back roller 1628, and a ground roller 1629. These rollers are formed of a conductive material and are connected ground except for the bias roller 1625 for primary image transfer.
A power supply 1631 for primary image is subject to constant-current or constant-voltage control and applies a bias controlled to a preselected current or a preselected voltage in accordance with the number of toner images to be superposed on each other to the bias roller 1625. The belt motor 106,
In an image transfer position where a toner image is to be transferred from the drum 110 to the belt 101, the belt 101 is pressed against the drum 110 by the bias roller 1625 and ground roller 1629, forming a nip between the belt 101 and the drum 110 over a preselected width.
The lubricant coating brush 1617 shaves a flat block of zinc stearate 1618, which is a lubricant, and coats the resulting fine grains on the belt 101. The brush 1617 is moved into contact with the belt 101 at an adequate timing.
In the secondary image transfer unit 1620, the belt 1605 is passed over three support rollers 1632, 1633 and 1634. Part of the belt 1605 extending between the support rollers 1632 and 1633 is pressed against the back roller 1627 at an adequate timing. Drive means, not shown, causes the belt 1605 to move in a direction indicated by an arrow in
The bias roller or secondary image transferring means 115 nip the belts 101 and 1605 between it and the back roller 1627. A constant-current power supply 1635 for secondary image transfer applies a preselected bias to the bias roller 115 in the from of a preselected current. A moving mechanism, not shown, selectively move the belt 1605 and bias roller 115 into or out of contact with the back roller 1627. In
A sheet or recording medium P is fed from the sheet feeding section to a registration roller pair 1650 and stopped for a moment thereby. The registration roller pair 1650 starts conveying the sheet P toward the nip between the belts 101 and 1605 at a preselected timing. A sheet discharger or medium discharging means 1656 and a belt discharger or medium carrier discharging means 1657 face the portion of the belt 1605 passed over the support roller 1633, which adjoins the roller pair of the fixing unit. Further, a cleaning blade or medium carrier cleaning means 1658 is held in contact with the portion of the belt 1605 passed over the support roller 1634.
The sheet discharger 1658 discharges the sheet P for thereby allowing the sheet P to easily part from the belt 1605 due to its own flexibility. The belt discharger 1657 removes charge left on the belt 1605. The cleaning blade 1658 removes deposits from the surface of the belt 1605.
In operation, at the beginning of an image forming cycle, the drum motor 113,
The Bk toner image, for example, is formed by the following procedure. The charger 1601 uniformly charges the surface of the drum 110 to a preselected potential with negative charge. The optical writing unit scans the charged surface of the drum 110 with the laser beam L in accordance with Bk color image data. As a result, the charge deposited on the drum 110 disappears in the exposed portion in proportion to the quantity of incident light, forming a Bk latent image.
The Bk toner charged to negative polarity and deposited on the sleeve of the Bk developing section 1611 contacts the Bk latent image, forming a corresponding Bk toner image. The Bk toner image is then transferred from the drum 110 to the surface of the belt 101, which is moving in contact with and at the same speed as the drum 110. This is the primary image transfer. The cleaning device 1602 removes the toner left on the drum 110 after the primary image transfer for thereby preparing it for the next image forming cycle. Subsequently, the optical writing unit scans the drum 110 with the laser beam L in accordance with C color image data to thereby form a C latent image on the drum 110.
After the trailing edge of the Bk latent image has moved away from the developing position, but before the leading edge of the C latent image arrives at the developing position, the revolver 1603 is rotated to locate the C developing section 1612 at the developing position for thereby developing the C latent image with the C toner. As soon as the trailing edge of the C latent image moves away from the developing position, the revolver 1603 is again rotated to locate the M developing section 1613 at the developing position. This rotation is also completed before the leading edge of an M latent image arrives at the developing position. An M and a Y toner image are formed in exactly the same manner as the Bk and C toner images and will not be described specifically in order to avoid redundancy.
The Bk, C, M and Y toner images thus sequentially formed on the drum 110 are transferred to the same portion of the belt 101 one above the other, completing a full-color image on the belt 101. Of course, the number of toner images of different color may be three or less.
At the time when the image forming cycle begins, a sheet P is fed from the sheet feeding section, e.g., a cassette or a manual feed tray to the registration roller pair 1650 and stopped thereby. The registration roller pair 1650 conveys the sheet P toward the nip between the bias roller 115 and the back roller 1627 (secondary image transfer position) such that the leading edge of the sheet P meets the leading edge of the toner image carried on the belt 101.
When the sheet P is conveyed via the secondary image transfer position while underlying the toner image carried on the belt 101, the bias roller 115 applied with the bias from the power supply 1635 transfers the toner image from the belt 101 to the sheet P. This is the secondary image transfer. Subsequently, the sheet discharger 1656 discharges the sheet P with the result that the sheet P is separated from the belt 1605. The sheet P is then conveyed to the fixing unit. The fixing unit fixes the toner image on the sheet P with the roller pair. Finally, the sheet or copy P is driven out of the copier body to a copy tray not shown.
The cleaning device 1602 cleans the surface of the drum 110 after the primary image transfer. Subsequently, a quenching lamp, not shown, discharges the surface of the drum 110. Also, the belt cleaning blade 1616 is moved into contact with the belt 101 to remove the toner left on the belt 101 after the secondary image transfer.
In a repeat copy mode, after the first Y or fourth-color toner image has been formed, the color scanner and drum 10 are operated to start forming the second Bk or first-color toner image at a preselected timing. Also, the belt 101 is operated such that after the secondary image transfer of the first full-color toner image, the second Bk toner image is transferred to the portion of the belt 101 cleaned by the belt cleaning blade 1616.
While the foregoing description has concentrated on a full-color mode, the procedure described above will be repeated, in a tricolor or a bicolor mode, a number of times corresponding to the number of colors and the number of desired copies designated. Ina monochromatic mode, until a desired number of copies have been output, only one of the developing sections of the revolver 1603 corresponding to desired color is continuously operated while the belt cleaning blade 1616 is held in contact with the belt 101.
When the movement control stated earlier is effected with the tandem image forming apparatus shown in
The movement control of the illustrative embodiment can be effected if a program prepared beforehand is executed by a personal computer, work station or similar computer. The program is stored in a hard disk, floppy (R) disk, CD (Compact Disk)-ROM, MO (Magnet Optical) disk, DVD (Digital Versatile Disk) or similar recording medium capable of being read by a computer. If desired, the program may be distributed from the recording medium via Internet or similar network.
In summary, it will be seen that the present invention provides a belt moving device and an image forming apparatus including the same having various unprecedented advantages, as enumerated below.
(1) When a belt slips on a drive shaft and is shifted from a target position, the belt moving device senses the surface position of the belt and corrects the target angular position of the drive shaft by the shift of the belt, thereby returning the surface position of the belt to a correct position. This is also true when the belt is shifted from the target position due to the eccentricity of the drive shaft.
(2) When the belt has low rigidity, response frequency for position control is lowered to obviate resonance. As for a driveline extending from a motor more rigid than the belt to the drive shaft, response frequency is raised to execute position control that cancels the eccentricity disturbance of various shafts. First and second correcting means deal with the shift of the belt and the other disturbance, respectively, thereby reducing the shift of the belt from the target position.
(3) The rigidity of the belt is increase the resonance frequency of the belt, so that the surface position of the belt with a broader control band is directly subject to feedback control. This is also successful to reduce the shift of the belt from the target position.
(4) The rotation state of a motor shaft is fed back to correct the eccentricity or similar mechanical error of a drive transfer line extending from the motor shaft to the drive shaft position and the error of a drive transfer line extending from the drive shaft to the belt surface position. Further, when the belt and drive roller slip on each other, the above feedback allows the target angular position of the motor shaft to be corrected by the shift of the belt in accordance with the sensed surface position of the belt. The belt can therefore be returned on its correct position.
(5) The belt and drive shaft are formed with teeth meshing with each other. This is also successful to reduce the shift of the belt from the target position.
(6) An image forming apparatus is free from positional shift during image formation and therefore performs highly accurate image formation.
(7) Assume that rigidity from torque generated by a motor to the angle of the drive shaft is low, and that rigidity from drive shaft torque to the surface position of the belt is low, i.e., that resonance frequency from the motor output torque to the drive shaft angle is higher than resonance frequency from the drive shaft torque to the surface position of the belt. In such a case, it is possible to raise the cross frequency Wcd of open-loop transfer characteristics from the target drive shaft angle to the drive shaft angle inclusive of a controller, implementing a stable, rapid response control system. In addition, the shift of the belt from the target surface position can be canceled by being added to the target drive shaft angle, so that the positional shift is reduced.
(8) Assume that rigidity from the motor output torque to the angle of the motor output shaft is low, and that rigidity from drive shaft torque to the surface position of the belt is low, i.e., that resonance frequency from the motor output torque to the motor output shaft angle inclusive of a mechanical line up to the drive shaft is higher than resonance frequency from the drive shaft torque to the surface position of the belt. In such a case, it is possible to raise the cross frequency Wcm of open-loop transfer characteristics from the target motor output shaft angle to the motor output shaft angle inclusive of a controller, implementing a stable, rapid response control system. In addition, the shift of the belt from the target surface position can be canceled by being added to the target motor output shaft angle, so that the positional shift is reduced.
(9) Even when the rigidity of the belt is high, feedback control over the belt surface position implements rapid response, stable control that obviates the shift of the belt from the target surface position.
(10) As for the target drive shaft angle, when resonance frequency from the drive shaft to the surface position of the belt is low, the gain of an outside feedback loop is lowered for thereby allowing the target drive shaft angle to be stably varied.
(11) As for the target motor output shaft angle, when the resonance frequency of a transfer line from the motor to the drive shaft or that of a transfer line from the drive shaft to the surface position of the belt is low, the gain of the outside feedback loop is lowered for thereby allowing the target motor output shaft angle to be stably varied.
(12) As for a minor loop, a PI controller executes stable position control while a disturbance estimation observer executes accurate position control by coping with disturbance that cannot be removed by position control. Therefore, by providing the slope of the cross frequency Wcs of an open-loop transfer function from the target position to the surface position of the belt (outside feedback loop) with an integration characteristic of −20 db/dec, it is possible to effect stable position control over the entire system.
(13) At the beginning of belt drive, multiplication is effected with a function that makes the target position of a ramp function smooth. This realizes position control with a minimum of overshoot and a minimum of oscillation.
(14) Oscillation ascribable to teeth is not transferred to an image forming section, so that banding and positional shift can be reduced.
(15) Noise and power consumption are reduced.
(16) Even when use is made of inexpensive marker sensing means having a broad slit pattern, high resolution and therefore accurate position control is achievable because an analog output derived from slits is digitized for interpolation.
(17) A single DSP or a single CPU is used to execute software servo. Therefore, software suffices for the calculation of a controller and an observer as and the calculation of a target value locus and a feed-forward value. This implements low cost, highly accurate positioning control without resorting to a sophisticated circuit.
(18) Software servo is used to calculate a PI controller, a disturbance estimation observer, a new target position and a feed-forward value made discrete by the sampling time. This also insures highly accurate positioning control.
(19) Even when an encoder mounted on the drive shaft or the motor output shaft becomes eccentric., the eccentricity can be corrected, so that an eccentricity error is obviated. Therefore, highly accurate position control can be effected over the drive shaft or the motor output shaft.
(20) The movement of an intermediate image transfer belt can be accurately controlled. This obviates color misregister on a sheet for thereby insuring high-quality images.
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.
Number | Date | Country | Kind |
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2002-043384 | Feb 2002 | JP | national |
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10-232566 | Sep 1998 | JP |
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2002-258574 | Sep 2002 | JP |
Number | Date | Country | |
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20030223786 A1 | Dec 2003 | US |