Neural adaptive control of two-link manipulator with sliding mode compensation

We develop a new neurocontroller for robot manipulators. A simple dynamic neural network is used to estimate the unknown robot manipulators, then the direct linearization controller is derived via this neuro-identifier. Since the approximation capability is limited, another robust sliding mode compensator is addressed. In this paper we give a bound for the identification error of the parallel neuro-identifier, and establish a bound for the tracking error of the hybrid controller.

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

[2]  Alexander S. Poznyak,et al.  Indirect adaptive control via parallel dynamic neural networks , 1999 .

[3]  Kumpati S. Narendra,et al.  Identification and control of dynamical systems using neural networks , 1990, IEEE Trans. Neural Networks.

[4]  Zhihua Qu,et al.  Hybrid adaptive control for tracking of rigid-link flexible-joint robots , 1993 .

[5]  Y. H. Chen,et al.  Adaptive Robust Model-Following Control and Application to Robot Manipulators , 1987 .

[6]  Frank L. Lewis,et al.  Neural Network Control of Robot Manipulators , 1996, IEEE Expert.

[7]  J. Willems.  Least squares stationary optimal control and the algebraic Riccati equation , 1971 .

[8]  Manolis A. Christodoulou,et al.  Dynamical Neural Networks that Ensure Exponential Identification Error Convergence , 1997, Neural Networks.

[9]  George A. Rovithakis,et al.  Direct adaptive regulation of unknown nonlinear dynamical systems via dynamic neural networks , 1995, IEEE Transactions on Systems, Man, and Cybernetics.

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

[11]  P. A. Cook,et al.  On-line adaptive control of non-linear plants using neural networks with application to liquid level control , 1998 .

[12]  Feng Lin,et al.  An optimal control approach to robust control of robot manipulators , 1998, IEEE Trans. Robotics Autom..

[13]  Frank L. Lewis,et al.  Multilayer neural-net robot controller with guaranteed tracking performance , 1996, IEEE Trans. Neural Networks.

[14]  Richard D. Braatz,et al.  On the "Identification and control of dynamical systems using neural networks" , 1997, IEEE Trans. Neural Networks.

[15]  Peter J. Gawthrop,et al.  Neural networks for control systems - A survey , 1992, Autom..

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

[17]  Sahjendra N. Singh.  Adaptive model following control of nonlinear robotic systems , 1985 .