Smooth robust adaptive sliding mode control of manipulators with guaranteed transient performance

A systematic way to combine an adaptive control design technique and sliding mode control methodology for trajectory tracking control of robot manipulators in the presence of parametric uncertainties and external disturbance is developed in this paper. Continuous sliding mode controllers without the unpleasant reaching transient and chattering problem are first developed by using a dynamic sliding mode. Transient performance is guaranteed and globally uniform ultimate boundedness (GUUB) stability is obtained. A conventional adaptive scheme is also developed for comparison. With some modifications to the conventional adaptation law, the control law is redesigned by combining the design methodologies of adaptive control and sliding mode control. The suggested controller preserves the advantages of both methods, namely, asymptotic stability of adaptive systems for parametric uncertainties and GUUB stability with guaranteed transient performance of sliding mode control for both parametric uncertainties and external disturbances. The control law is continuous and the chattering problem of sliding mode control is avoided. A priori knowledge of the bounds of the parameter uncertainties and external disturbances is assumed. Experimental results illustrate the effectiveness of the proposed methods.

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

[2]  Kar-Keung D. Young.  Controller Design for a Manipulator Using Theory of Variable Structure Systems , 1978, IEEE Transactions on Systems, Man, and Cybernetics.

[3]  Jean-Jacques E. Slotine,et al.  The Robust Control of Robot Manipulators , 1985 .

[4]  G. Goodwin,et al.  Adaptive computed torque control for rigid link manipulators , 1986, 1986 25th IEEE Conference on Decision and Control.

[5]  S. Shankar Sastry,et al.  Adaptive Control of Mechanical Manipulators , 1987, Proceedings. 1986 IEEE International Conference on Robotics and Automation.

[6]  Graham C. Goodwin,et al.  A parameter estimation perspective of continuous time model reference adaptive control , 1987, Autom..

[7]  J. Slotine,et al.  On the Adaptive Control of Robot Manipulators , 1987 .

[8]  Y. P. Chen,et al.  A new controller design for manipulators using the theory of variable structure systems , 1988 .

[9]  J. Wen,et al.  New class of control laws for robotic manipulators Part 1. Non–adaptive case , 1988 .

[10]  Jean-Jacques E. Slotine,et al.  Adaptive manipulator control: A case study , 1988 .

[11]  S. Sastry,et al.  Adaptive Control: Stability, Convergence and Robustness , 1989 .

[12]  Romeo Ortega,et al.  Adaptive motion control of rigid robots: a tutorial , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[13]  Anuradha M. Annaswamy,et al.  Stable Adaptive Systems , 1989 .

[14]  Petros A. Ioannou,et al.  Instability analysis and robust adaptive control of robotic manipulators , 1989, IEEE Trans. Robotics Autom..

[15]  Roberto Horowitz,et al.  An Exponentially Stable Adaptive Control Law For Robot Manipulators , 1990, 1990 American Control Conference.

[16]  R. Bitmead,et al.  Transient bounds for adaptive control systems , 1990, 29th IEEE Conference on Decision and Control.

[17]  Roberto Horowitz,et al.  Stability and Robustness Analysis of a Class of Adaptive Controllers for Robotic Manipulators , 1990, Int. J. Robotics Res..

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

[19]  Bin Yao,et al.  Trajectory control of robot manipulator using variable structure model-reaching control strategy , 1991 .

[20]  Kumpati S. Narendra,et al.  A combined direct, indirect, and variable structure method for robust adaptive control , 1992 .

[21]  Danwei Wang,et al.  A Unified Approach to Variable Structure Control of Robot Manipulators , 1992, 1992 American Control Conference.

[22]  Danwei Wang,et al.  Robust motion and force control of robot manipulators in the presence of environmental constraint uncertainties , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[23]  Zhihua Qu,et al.  Exponentially stable trajectory following of robotic manipulators under a class of adaptive controls , 1992, Autom..

[24]  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.

[25]  Daniel E. Koditschek,et al.  Comparative experiments with a new adaptive controller for robot arms , 1991, IEEE Trans. Robotics Autom..

[26]  Aniruddha Datta,et al.  Computed Torque Adaptive Control of Rigid Robots with Improved Transient Performance , 1993, 1993 American Control Conference.

[27]  Chun-Yi Su,et al.  Real-time implementation of regressor-based sliding mode control algorithm for robotic manipulators , 1993, IEEE Trans. Ind. Electron..

[28]  Lakmal Seneviratne,et al.  Robust adaptive control for robot manipulators using a combined method , 1993, [1993] Proceedings IEEE International Conference on Robotics and Automation.

[29]  Masayoshi Tomizuka,et al.  Adaptive Control of Robot Manipulators in Constrained Motion , 1993, 1993 American Control Conference.