Input shaping for a simple nonlinear system

Input shaping is a command modification technique for reducing system vibration that has been implemented successfully on a number of mechanical systems. Input shaping was developed from linear systems theory, but it has been applied successfully to many nonlinear systems. Of the approaches used to shape commands for nonlinear systems, very few address the specific nonlinearities of the systems directly. This paper addresses a special subset of configuration-dependent nonlinearities. The effect of input shaping on these types of systems is analyzed and key motion command parameters are extracted. This analysis is utilized to design effective zero-vibration input shapers for the class of nonlinear systems considered here.

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

[2]  J. F. Jansen.  Control and Analysis of a Single-Link Flexible Beam with Experimental Verification , 1992 .

[3]  Mark W. Noakes,et al.  Generalized inputs for damped-vibration control of suspended payloads , 1992, Robotics Auton. Syst..

[4]  Wayne J. Book,et al.  The Application of Input Shaping to a System With Varying Parameters , 1992 .

[5]  Anthony Tzes,et al.  Adaptive Nonlinear Control and Input Preshaping for Flexible-Link Manipulators; Control/Robotics Research Laboratory (CRRL) , 1993, 1993 American Control Conference.

[6]  Anthony Tzes,et al.  An adaptive input shaping control scheme for vibration suppression in slewing flexible structures , 1993, IEEE Trans. Control. Syst. Technol..

[7]  Anthony Tzes,et al.  Adaptive Nonlinear Control and Input Preshaping for Flexible-Link Manipulators; Control/Robotics Research Laboratory (CRRL) , 1993 .

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

[9]  M. W. Noakes,et al.  Experimental implementation of a robust damped-oscillation control algorithm on a full-sized, two-degree-of-freedom, AC induction motor-driven crane , 1994 .

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

[11]  Peter H. Meckl,et al.  Input shaping for nonlinear systems , 1995, Proceedings of 1995 American Control Conference - ACC'95.

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

[13]  Warren P. Seering,et al.  INPUT SHAPING FOR VIBRATION REDUCTION WITH SPECIFIED INSENSITIVITY TO MODELING ERRORS , 1996 .

[14]  William Singhose,et al.  EVALUATION OF INPUT SHAPING ON CONFIGURATION DEPENDENT SYSTEMS , 1996 .

[15]  Marc Bodson.  Experimental Comparison of Two Input Shaping Methods for the Control of Resonant Systems , 1996 .

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

[17]  Juyi Park,et al.  Learning input shaping technique for non-LTI systems , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[18]  George Vukovich,et al.  Nonlinear Input Shaping Control of Flexible Spacecraft Reorientation Maneuver , 1998 .

[19]  Sungsoo Rhim.  Limitations and improvements of time-delay command shaping filters for flexible machine control , 2000 .