Wave-Based Analysis and Control of Lump-Modeled Flexible Robots

Flexible robots are frequently represented by lumped models. In the mechanics of lumped systems, wave concepts have been avoided, for good reasons, generally. In the control of lumped flexible systems, however, wave concepts prove very fruitful. This paper provides a foundation for the wave-based control application by exploring the validity and nature of wave concepts in lumped robotic systems. A new wave-based model of uniform mass-spring systems is proposed and verified. The model is exact but not unique. Useful simplifications and approximations are also presented. The model leads to control strategies for flexible robotic systems that are simple, powerful, robust, and generic. The wave approach also provides a new analysis tool and conceptual framework for lumped dynamic systems

[1]  Fumin Zhang,et al.  Adaptive nonlinear boundary control of a flexible link robot arm , 1999, IEEE Trans. Robotics Autom..

[2]  R. H. Cannon,et al.  Initial Experiments on the End-Point Control of a Flexible One-Link Robot , 1984 .

[3]  W. Blajer,et al.  A Geometric Approach to Solving Problems of Control Constraints: Theory and a DAE Framework , 2004 .

[4]  Thomas L. Vincent,et al.  Positioning and Active Damping of Spring-Mass Systems , 1989 .

[5]  E. Barbieri,et al.  Unconstrained and Constrained Mode Expansions for a Flexible Slewing Link , 1988, 1988 American Control Conference.

[6]  P. Strevens.  Iii , 1985 .

[7]  Shirley Dex,et al.  JR 旅客販売総合システム（マルス）における運用及び管理について , 1991 .

[8]  K. S. Yeung,et al.  Regulation of a one-link flexible robot arm using sliding-mode technique , 1989 .

[9]  Leonard Meirovitch,et al.  Dynamics And Control Of Structures , 1990 .

[10]  M. Erol Sezer,et al.  Adaptive control of flexible multilink manipulators , 1993 .

[11]  A. H. Von Flotow,et al.  Traveling wave control for large spacecraft structures , 1986 .

[12]  Eduardo Bayo,et al.  A finite-element approach to control the end-point motion of a single-link flexible robot , 1987, J. Field Robotics.

[13]  Yoram Halevi,et al.  Control of Flexible Structures Governed by the Wave Equation Using Infinite Dimensional Transfer Functions , 2005 .

[14]  A. V. Flotow,et al.  Wave absorbing. controllers for a flexible beam , 1986 .

[15]  Yoichi Hori,et al.  Backlash Vibration Suppression Control of Torsional System by Novel Fractional Order PID k Controller , 2004 .

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

[17]  S. Choura,et al.  On the finite settling time and residual vibration control of flexible structures , 1991 .

[18]  Peter Eberhard,et al.  DYNAMIC ANALYSIS OF FLEXIBLE MANIPULATORS, A LITERATURE REVIEW , 2006 .

[19]  A. Preumont.  Vibration Control of Active Structures , 1997 .

[20]  R. M. Hirschorn,et al.  Tracking control of a flexible robot link , 1988 .

[21]  Clark R. Dohrmann,et al.  Flexible Robot Dynamics and Controls , 2001 .

[22]  Mouhacine Benosman,et al.  Control of flexible manipulators: A survey , 2004, Robotica.

[23]  K. Tani,et al.  An Approach to Vibration Control of Multiple-Pendulum System by Wave Absorption , 1998 .

[24]  P. H. Meckl,et al.  Active Damping in a Three-Axis Robotic Manipulator , 1985 .

[25]  Dong-Soo Kwon,et al.  A Time-Domain Inverse Dynamic Tracking Control of a Single-Link Flexible Manipulator , 1994 .

[26]  William J. O'Connor,et al.  Position control of flexible robot arms using mechanical waves , 1998 .

[27]  William J. O'Connor.  Wave-echo control of lumped flexible systems , 2006 .

[28]  Lucy Y. Pao,et al.  Shaped Time-Optimal Feedback Controllers for Flexible Structures , 2004 .

[29]  Shuzhi Sam Ge,et al.  Adaptive robust controller design for multi-link flexible robots , 2001 .

[30]  Carlos Cerrada,et al.  Load adaptive control of single-link flexible arms based on a new modeling technique , 1999, IEEE Trans. Robotics Autom..

[31]  Nobuo Tanaka,et al.  Torsional vibration suppression by wave-absorption control with imaginary system , 2004 .

[32]  M. de Mathelin,et al.  Robust control of robot manipulators: A survey , 1999 .

[33]  Shuzhi Sam Ge,et al.  Simulation studies of tip tracking control of a single-link flexible robot based on a lumped model , 1999, Robotica.

[34]  Wen-Jun Cao,et al.  Synthesized sliding mode control of a single-link flexible robot , 2000 .

[35]  Yannick Aoustin,et al.  Experimental results for the end-effector control of a single flexible robotic arm , 1994, IEEE Trans. Control. Syst. Technol..

[36]  R. Nadira,et al.  A Finite Element/Lagrange Approach to Modeling Lightweight Flexible Manipulators , 1986 .

[37]  Fumitoshi Matsuno,et al.  Modeling and feedback control of a flexible arm , 1985, J. Field Robotics.

[38]  William J. O'Connor.  A Gantry Crane Problem Solved , 2003 .

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

[40]  Franco Bernelli-Zazzera,et al.  Experiments on Command Shaping Control of a Manipulator with Flexible Links , 2002 .