Various exemplary embodiments of the systems and methods will be described in detail, with reference to the following figures, wherein:
These and other features and advantages are described in, or are apparent from, the following detailed description of various exemplary embodiments of the systems and methods.
During step S120, the velocity error is filtered by passing the velocity error data through a digital low pass filter (for example a 4th order butterworth filter implemented through a difference equation, or the like), thereby removing the high frequencies from the velocity error. According to various exemplary embodiments, the frequencies removed are those above about 10 Hz. If the control bandwidth is much above 10 Hz, the cutoff frequency may be increased accordingly. Once the high frequencies are removed, the total velocity error of the image forming device can be obtained by averaging the velocity error values at each belt position for N successive belt revolutions (alignment of the errors for each belt revolution can be accomplished by using the belt seam hole as a indicator of the start of each revolution). This results in a profile of average velocity error as a function of position on the photoreceptor belt. According to various exemplary embodiments, the average velocity error is measured in mm/s, but also may be measured in encoder counts per second. Next, control continues to step S130.
During step S130, the calculated average velocity error, which is a convolution of errors due to the dynamics of the photoreceptor, the dynamics of the photoreceptor controller, and the torque disturbance of the photoreceptor belt itself, can be further filtered to remove the dynamics of the photoreceptor and the dynamics of the photoreceptor controller. This is performed because the dynamics of the photoreceptor and of the controller are intrinsic to the image forming device and do not depend on external parameters. Accordingly, the average velocity error is passed through a filter that removes the dynamics of the photoreceptor and of the controller, and leaves a remaining velocity error that corresponds to the torque disturbance specific to the interaction between the image forming device and the image receiving medium. In the practice of modeling of classical control systems, it is common to predict the response of a dynamic system to a given disturbance by executing a series of difference equations (for this application, typically 16th to 20th order) that contain information regarding said dynamic system. Here, operation can be in reverse, by applying the inverse of the dynamic system equations to the output (which is known) in order to obtain the waveform of the disturbing input. According to various exemplary embodiments, the torque disturbance is measured in N-m. Next, control can continue to step S140.
During step S140, and because it is known that the torque disturbance waveform is proportional to the correction waveform required to counteract the torque disturbance, a correction scale factor is determined on the basis of the measured torque disturbance. This scale factor, once determined experimentally, will be valid for all torque disturbances determined by the described method and for all machines of similar construction. Determination of this scale factor can be performed by manually adjusting the amplitude of the correction waveform as it is applied to the machine until a velocity variation is minimized. The scale factor to be applied to the measured torque disturbance waveform is then just the ratio of the optimally corrected waveform to the measured torque disturbance waveform. Next control continues to step S150, where the correction factor is applied to correct the torque disturbance specific to the image forming medium to remedy the velocity error that is due to the specific image receiving medium such as, for example, paper, used in the image forming device. Next, control continues to step S160, where the method ends.
In operation, the photoreceptor belt 210 on which the image receiving medium 205 such as, for example, paper, is disposed for an image forming operation. According to various exemplary embodiments, the measuring unit 220 is used to take measurements of data points of velocity error due to the interaction between the photoreceptor belt 210 and the image receiving medium 205 during a training run under control of the controller 250. Even a momentary perturbation in photoreceptor belt velocity during imaging affects imaging results by, for example, producing defects in output hard-copy images transferred to an image receiving medium. Color photoreceptor belt-based systems include a plurality of imaging stations, each for a different one of a plurality of primary colors. Precise control of the velocity and the position of the photoreceptor belt 210 are necessary in order to attempt to ensure that each of the plurality of separate single color images is precisely overlaid on the image receiving medium in order to produce the output color image. When individual single color images do not correctly align, based mechanical transients and/or disturbances in the transfer subsystems such as, for example, velocity and/or position mismatches, or transient errors in control of the photoreceptor belt 210, image quality will decrease because the colors do not precisely line up. Such defects in output hard-copy images in electrophotographic and/or xerographic image forming devices are referred to alternatively as misregistration of colors or color-to-color registration errors. Such misregistration of colors may initially fall below any detectable threshold, but increases, i.e., becomes more pronounced and/or noticeable, as image-on-image systems and/or system components age or wear under use.
The filtering unit 230 may then filter the average velocity error to remove error due to the dynamics of photoreceptor, under control of the controller 250. The filtering unit 230 may also convert, under control of the controller 250, the filtered average velocity error to torque disturbance. According to various exemplary embodiments, the conversion is performed by the controller 250. Once the velocity error is converted to torque disturbance, the velocity correction unit 240 determines the correction factor and applies the correction factor to the photoreceptor belt 210 to counteract the velocity error that is due to the interaction between the photoreceptor belt 210 and the image forming medium 205.
It will be appreciated that various of the above-disclosed and other features and functions, or alternatives thereof, may be desirably combined into many other different systems or applications. Also, various presently unforeseen or unanticipated alternatives, modifications, variations or improvements therein may be subsequently made by those skilled in the art, and are also intended to be encompassed by the following claims.