Residual vibration reduction for a flexible structure using a modified input shaping technique

This paper presents a modified input shaping method to reduce the motion-induced vibration of a linear time-varying system after a rest-to-rest motion. Shaping parameters were obtained using the concept of modal-filtered impulse response. The conventional shaping method can be said just a special case of the proposed shaping method. The effectiveness of this proposing method was checked using some examples of both moderate and considerably fast time-varying systems. With a rest-to-rest motion control of a two-link flexible manipulator, this study also demonstrates that this method can be expanded to nonlinear cases.

[1]  J.T. Feddema.  Digital Filter Control of Remotely Operated Flexible Robotic Structures , 1993, 1993 American Control Conference.

[2]  Warren P. Seering,et al.  Preshaping Command Inputs to Reduce System Vibration , 1990 .

[3]  Otto J. M. Smith,et al.  Feedback control systems , 1958 .

[4]  Warren P. Seering,et al.  Using input command pre-shaping to suppress multiple mode vibration , 1991, Proceedings. 1991 IEEE International Conference on Robotics and Automation.

[5]  Chi-Tsong Chen,et al.  Linear System Theory and Design , 1995 .

[6]  Lucy Y. Pao,et al.  A comparison of constant and variable amplitude command shaping techniques for vibration reduction , 1995, Proceedings of International Conference on Control Applications.

[7]  Warren P. Seering,et al.  Residual Vibration Reduction Using Vector Diagrams to Generate Shaped Inputs , 1994 .

[8]  Wayne J. Book,et al.  Filtering micro-manipulator wrist commands to prevent flexible base motion , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[9]  William Singhose,et al.  Vibration Reduction Using Multi-Hump Input Shapers , 1997 .

[10]  Wayne J. Book,et al.  Adaptation of generalized time-delay command shaper for flexible manipulator control , 2000, Proceedings 2000 ICRA. Millennium Conference. IEEE International Conference on Robotics and Automation. Symposia Proceedings (Cat. No.00CH37065).

[11]  Jung-Keun Cho,et al.  Vibration reduction in flexible systems using a time-varying impulse sequence , 1995, Robotica.

[12]  Warren P. Seering,et al.  Time-Optimal Negative Input Shapers , 1997 .

[13]  Warren P. Seering,et al.  Shaping inputs to reduce vibration: a vector diagram approach , 1990, Proceedings., IEEE International Conference on Robotics and Automation.

[14]  William Singhose,et al.  An input shaping controller enabling cranes to move without sway , 1997 .

[15]  David Wang,et al.  Verification of a closed-loop shaped-input controller for a five-bar-linkage manipulator , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[16]  G. R. Heppler,et al.  Shaped Input Control of a System With Multiple Modes , 1993 .

[17]  N. Seth,et al.  Vibration control of a coordinate measuring machine , 1992, [Proceedings 1992] The First IEEE Conference on Control Applications.

[18]  Ichiro Watanabe,et al.  Digital shaping filters for reducing machine vibration , 1992, IEEE Trans. Robotics Autom..

[19]  Wayne J. Book,et al.  Experimental verification of modified command shaping using a flexible manipulator , 1991 .

[20]  William Singhose,et al.  Command Shaping in Tracking Control of a Two-Link Flexible Robot , 1998 .

[21]  Warren P. Seering,et al.  A zero-placement technique for designing shaped inputs to suppress multiple-mode vibration , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[22]  Tarunraj Singh,et al.  Robust time-optimal control - Frequency domain approach , 1994 .

[23]  S.D. Jones,et al.  Control input shaping for coordinate measuring machines , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[24]  William Singhose,et al.  Improving repeatability of coordinate measuring machines with shaped command signals , 1996 .

[25]  William E. Singhose,et al.  Effects of input shaping on two-dimensional trajectory following , 1996, IEEE Trans. Robotics Autom..