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		Yan ZHENG,Yuanwei JING.[en_title][J].Control Theory and Technology,2006,4(3):291~296.[Copy]

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YanZHENG,YuanweiJING
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Received:July 06, 2005Revised:March 29, 2006

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Approximation law for discrete-time variable structure control systems

Yan ZHENG, Yuanwei JING

(School of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China)

Abstract:

Two approximation laws of sliding mode for discrete-time variable structure control systems are proposed to overcome the limitations of the exponential approximation law and the variable rate approximation law. By applying the proposed approximation laws of sliding mode to discrete-time variable structure control systems, the stability of origin can be guaranteed, and the chattering along the switching surface caused by discrete-time variable structure control can be restrained effectively. In designing of approximation laws, the problem that the system control input is restricted is also considered, which is very important in practical systems. Finally a simulation example shows the effectiveness of the two approximation laws proposed.

Key words: Neural network Convex programming Global convergence Equilibrium points