Stability analysis of neural networks based adaptive controllers for robot manipulators

This paper presents an approach to the stability analysis of neural networks based adaptive controllers for motion control of robot manipulators. New adaptive feedback and feedforward control structures using neural networks are proposed. The controllers are adaptive to robot dynamics and payload uncertainties. Practical asymptotic stability conditions for the proposed controllers are given considering the neural networks learning errors. A robust adaptive approach which leads to global asymptotic stability is also presented. The analysis includes the evaluation of the control error as a function of the neural networks learning errors.

[1]  Yoshiki Uchikawa,et al.  A neural network compensator for uncertainties of robotics manipulators , 1992, IEEE Trans. Ind. Electron..

[2]  Takeo Kanade,et al.  Parameter identification of robot dynamics , 1985, 1985 24th IEEE Conference on Decision and Control.

[3]  R. Ortega,et al.  Adaptive motion control design of robot manipulators: an input-output approach , 1989 .

[4]  C. Desoer,et al.  Feedback Systems: Input-Output Properties , 1975 .

[5]  J. Wen A unified perspective on robot control: The energy lyapunov function approach , 1990 .

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

[7]  Eduardo F. Camacho,et al.  A neural network based feedforward adaptive controller for robots , 1995, IEEE Trans. Syst. Man Cybern..

[8]  Toshio Fukuda,et al.  Theory and applications of neural networks for industrial control systems , 1992, IEEE Trans. Ind. Electron..

[9]  Ken-ichi Funahashi,et al.  On the approximate realization of continuous mappings by neural networks , 1989, Neural Networks.

[10]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1989, Math. Control. Signals Syst..

[11]  I. Bar-Kana,et al.  Two-degree-of-freedom robot neurocontroller , 1990, 29th IEEE Conference on Decision and Control.

[12]  Solomon Lefschetz,et al.  Stability by Liapunov's Direct Method With Applications , 1962 .

[13]  M. Kawato,et al.  Hierarchical neural network model for voluntary movement with application to robotics , 1988, IEEE Control Systems Magazine.