Robust desired compensation adaptive control of robot manipulators with guaranteed transient performance

A robust adaptive controller with guaranteed transient performance under a desired compensation adaptation law is developed for trajectory tracking control of robot manipulators in the presence of parametric uncertainties and external disturbances. With some modifications to the conventional adaptation law, a new control law is redesigned by combining the design methodologies of adaptive control and continuous sliding mode control. The suggested controller preserves the advantages of the true methods, namely, asymptotic stability of adaptive system for parametric uncertainties and globally uniformly ultimately bounded 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. Experimental results illustrate the effectiveness of the proposed methods.<<ETX>>

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

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

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

[4]  Mark W. Spong,et al.  Adaptive motion control of rigid robots: a tutorial , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

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

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

[7]  Nader Sadegh,et al.  An Exponentially Stable Adaptive Control Law For Robot Manipulators , 1990 .

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

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

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

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

[12]  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.

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

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

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

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

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