Input shaping/time delay control of maneuvering flexible structures

Precise position control and rapid rest-to-rest motion is the desired objective in a variety of applications. The desire for reducing the maneuver time requires reducing the inertia of the structure which subsequently results in low frequency dynamics. The requirement of precise position control implies that the residual vibration of the structure should be zero or near zero. This paper presents techniques to shape the input to the system so as to minimize the residual vibration. A second class of problems which includes design of input profiles for systems with rigid-body modes driven by actuators with finite control authority, is also presented. The common thread which connects all the techniques presented in this paper is related to the design of controllers which are robust to modeling uncertainties. The proposed techniques are illustrated by simulations and experiments.

[1]  Lucy Y. Pao,et al.  Comparison of input shaping and time-optimal control of flexible structures , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[2]  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.

[3]  Pierre T. Kabamba,et al.  Planar, time-optimal, rest-to-rest slewing maneuvers of flexible spacecraft , 1989 .

[4]  Tarunraj Singh,et al.  Robust time-delay control of multimode systems , 1995 .

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

[6]  Warren P. Seering,et al.  An extension of command shaping methods for controlling residual vibration using frequency sampling , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[7]  William Singhose,et al.  Concurrent design of input shaping and feedback control for insensitivity to parameter variations , 2000, 6th International Workshop on Advanced Motion Control. Proceedings (Cat. No.00TH8494).

[8]  Lucy Y. Pao,et al.  Expected Residual Vibration of Traditional and Hybrid Input Shaping Designs , 1999 .

[9]  Tarunraj Singh,et al.  Jerk Limited Time Optimal Control of Flexible Structures , 2001, Dynamic Systems and Control.

[10]  Lucy Y. Pao,et al.  Minimum-time control characteristics of flexible structures , 1996 .

[11]  Warren P. Seering,et al.  Slewing Multimode Flexible Spacecraft with Zero Derivative Robustness Constraints , 1997 .

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

[13]  Otto J. M. Smith Posicast Control of Damped Oscillatory Systems , 1957, Proceedings of the IRE.

[14]  H. Hablani Zero-residual-energy, single-axis slew of flexible spacecraft using thrusters - Dynamics approach , 1992 .

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

[16]  Eugene M. Cliff,et al.  Time-optimal slewing of flexible spacecraft , 1992 .

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

[18]  Tarunraj Singh,et al.  Effect of damping on the structure of the time-optimal control profile , 1996 .

[19]  Tarunraj Singh,et al.  Fuel/Time Optimal Control of Flexible Space Structures: A Frequency Domain Approach , 1999 .

[20]  Glenn R. Heppler,et al.  Shaped inputs for a multimode system , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[21]  Qiang Liu,et al.  Robust Time-Optimal Control of Uncertain Flexible Spacecraft , 1992 .

[22]  U.-H. Park,et al.  DESIGN AND SENSITIVITY ANALYSIS OF AN INPUT SHAPING FILTER IN THE Z -PLANE , 2001 .

[23]  O.H. Bosgra,et al.  Point-to-point control of a MIMO servomechanism , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

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

[25]  Tarunraj Singh,et al.  Robust Time-Delay Control , 1993 .

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

[27]  G. Tallman,et al.  Analog study of dead-beat posicast control , 1958 .

[28]  Lucy Y. Pao,et al.  Robust minimum time control of flexible structures , 1998, Autom..

[29]  O. Smith Posicast Control of Damped Oscillatory Systems , 1957 .

[30]  Tarunraj Singh,et al.  Near-minimum-time maneuvers of large structures - Theory and experiments , 1994 .

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

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

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

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

[35]  James M. Hyde Multiple Mode Vibration Suppression in Controlled Flexible Systems , 1991 .

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

[37]  John L. Junkins,et al.  Near-minimum-time maneuvers of flexible vehicles - A Liapunov control law design method , 1990 .

[38]  C. Swigert Shaped Torque Techniques , 1980 .

[39]  Tarunraj Singh,et al.  Robust Minimum Power/Jerk Control of Maneuvering Structures , 2001 .

[40]  William Singhose,et al.  Concurrent Design of Input Shaping and Proportional Plus Derivative Feedback Control , 2002 .

[41]  A. Galip Ulsoy,et al.  An Approach to Control Input Shaping With Application to Coordinate Measuring Machines , 1999 .

[42]  Tarunraj Singh,et al.  Input-shaped control of three-dimensional maneuvers of flexible spacecraft , 1993 .

[43]  Gregory P. Starr,et al.  Swing-Free Transport of Suspended Objects With a Path-Controlled Robot Manipulator , 1985 .

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

[45]  William Singhose,et al.  On-Off Control With Specified Fuel Usage , 1999 .

[46]  Warren P. Seering,et al.  Creating Time-Optimal Commands with Practical Constraints , 1999 .

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

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

[49]  Dennis S. Bernstein,et al.  Benchmark Problems for Robust Control Design , 1991, 1991 American Control Conference.

[50]  William Singhose,et al.  EXTRA-INSENSITIVE INPUT SHAPERS FOR CONTROLLING FLEXIBLE SPACECRAFT , 1996 .

[51]  R. L. Farrenkopf Optimal open loop maneuver profiles for flexible spacecraft , 1978 .

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

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

[54]  Nelson Pedreiro,et al.  Vibration Reduction for Flexible Spacecraft Following Momentum Dumping With/Without Slewing , 2001 .

[55]  Tarunraj Singh,et al.  Robust Time-Optimal Control of Flexible Structures With Parametric Uncertainty , 1997 .

[56]  Jonathan P. How,et al.  Input Shaping Design for Multi-Input Flexible Systems , 1999 .

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

[58]  Wayne J. Book,et al.  Noise effect on adaptive command shaping methods for flexible manipulator control , 2001, IEEE Trans. Control. Syst. Technol..

[59]  Sudarshan P. Bhat,et al.  Precise Point-to-Point Positioning Control of Flexible Structures , 1990 .

[60]  Hari Hablani Zero-residual-energy, single-axis slew of flexible spacecraft with damping, using thrusters - A dynamics approach , 1991 .

[61]  Clark R. Dohrmann,et al.  Control for slosh-free motion of an open container , 1997 .

[62]  Warren P. Seering,et al.  Slewing Flexible Spacecraft with Deflection-Limiting Input shaping , 1997 .

[63]  Tarunraj Singh,et al.  Fuel/Time Optimal Control of the Benchmark Problem , 1995 .