APPROXIMATION LAWS OF DISCRETE-TIME VARIABLE STRUCTURE CONTROL SYSTEMS  

作　　者：Gao Cunchen,Li Yan(School of Math. Sci.,Ocean University of China,Qingdao 266071,Shandong) 

出　　处：《Annals of Differential Equations》2008年第2期133-140,共8页微分方程年刊（英文版）

基　　金：Supported by National Natural Science Foundation of China (60674020);Natural Science Foun- dation of Shandong Province (Z2006G11).

摘　　要：Two new approximation laws of sliding mode for discrete-time variable structure control systems are proposed in this paper. 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 these approximation laws,the problem that the system control input is restricted is also considered,which is very important in practical systems. Finally two simulation examples showing the effectiveness of the approximation laws are proposed.Two new approximation laws of sliding mode for discrete-time variable structure control systems are proposed in this paper. 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 these approximation laws,the problem that the system control input is restricted is also considered,which is very important in practical systems. Finally two simulation examples showing the effectiveness of the approximation laws are proposed.

关 键 词：discrete-time systems variable structure control(VSC) approxima-tion law quasi-sliding mode 

分 类 号：O175[理学—数学]