Adaptive sliding mode control with uncertainty estimator for robot manipulators

In this article, an approach for tracking control of robot manipulators is presented. The proposed controller incorporates the approximately known inverse dynamic model output as a model-base portion of the controller; an estimated uncertainty term to compensate for the un-modeled dynamics, external disturbances, and time-varying parameters; and a decentralized PID controller as a feedback portion to enhance closed-loop stability and account for the estimation error of uncertainties. The robustness and capabilities of the proposed approach are investigated in simulation for an example robot.

[1]  M. Corless,et al.  Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems , 1981 .

[2]  Oscar Barambones,et al.  ROBUST ADAPTIVE CONTROL FOR ROBOT MANIPULATORS WITH UNMODELLED DYNAMICS , 2000, Cybern. Syst..

[3]  Masayoshi Tomizuka,et al.  Robust adaptive motion and force control of robot manipulators in unknown stiffness environments , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[4]  Leila Notash,et al.  SYSTEMATIC ADAPTIVE FUZZY LOGIC MODELLING OF COMPLEX SYSTEMS FROM INPUT-OUTPUT DATA , 2005 .

[5]  Zhihua Qu,et al.  Recursive estimation of unstructured uncertainty and robust control design , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[6]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[7]  Andrew A. Goldenberg,et al.  Development of a systematic methodology of fuzzy logic modeling , 1998, IEEE Trans. Fuzzy Syst..

[8]  Zhihua Qu Robust control of nonlinear systems by estimating time variant uncertainties , 2002, IEEE Trans. Autom. Control..

[9]  P. Dorato,et al.  Survey of robust control for rigid robots , 1991, IEEE Control Systems.

[10]  John J. Craig,et al.  Introduction to Robotics Mechanics and Control , 1986 .

[11]  V. Utkin Variable structure systems with sliding modes , 1977 .

[12]  B. Yao,et al.  Adaptive robust control without knowing bounds of parameter variations , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[13]  Masayoshi Tomizuka,et al.  Adaptive robust control of SISO nonlinear systems in a semi-strict feedback form , 1997, Autom..

[14]  Chong-Won Lee,et al.  Sliding mode control with perturbation estimation: application to motion control of parallel manipulator , 1998 .

[15]  Jean-Jacques E. Slotine,et al.  Adaptive sliding controller synthesis for non-linear systems , 1986 .

[16]  Vadim I. Utkin,et al.  A control engineer's guide to sliding mode control , 1999, IEEE Trans. Control. Syst. Technol..

[17]  J. J. Slotine,et al.  Tracking control of non-linear systems using sliding surfaces with application to robot manipulators , 1983, 1983 American Control Conference.

[18]  Karl Johan Åström,et al.  Adaptive Control , 1989, Embedded Digital Control with Microcontrollers.

[19]  S. Shankar Sastry,et al.  Adaptive Control of Mechanical Manipulators , 1987 .

[20]  Michio Sugeno,et al.  A fuzzy-logic-based approach to qualitative modeling , 1993, IEEE Trans. Fuzzy Syst..

[21]  Y. D. Landau,et al.  Adaptive control: The model reference approach , 1979, IEEE Transactions on Systems, Man, and Cybernetics.

[22]  Leila Notash,et al.  ROBUST ADAPTIVE NEURAL FUZZY CONTROLLER WITH MODEL UNCERTAINTY ESTIMATOR FOR MANIPULATORS , 2004 .

[23]  H. Seraji A New Approach to Adaptive Control of Manipulators , 1987 .

[24]  Bruno Siciliano,et al.  Modeling and Control of Robot Manipulators , 1995 .

[25]  Z. Qu,et al.  Robust control of nonlinear systems in the presence of unknown exogenous dynamics , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[26]  K.J. Astrom,et al.  A survey of adaptive control applications , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.