Optimal guaranteed cost control for fuzzy descriptor systems with time-varying delay  

作　　者：Tian Weihua1,2 & Zhang Huaguang3 1. School of Information Science and Engineering, Northeastern Univ., Shenyang 110004, P. R. China 2. Dept. of Automatic Control, Shenyang Inst. of Engineering, Shenyang 110136, P. R. China 3. School of Information Science and Engineering, Northeastern Univ., Shenyang 110004, P. R. China. (Received December 27, 2006) 

出　　处：《Journal of Systems Engineering and Electronics》2008年第3期584-591,共8页系统工程与电子技术（英文版）

基　　金：the National Natural Science Foundation of China (60325311).

摘　　要：Based on the delay-independent rule, the problem of optimal guaranteed cost control for a class of Takagi-Sugeno （T-S） fuzzy descriptor systems with time-varying delay is studied. A linear quadratic cost function is considered as the performance index of the closed-loop system. Sufficient conditions for the existence of guaranteed cost controllers via state feedback are given in terms of linear matrix inequalities （LMIs）, and the design of an optimal guaranteed cost controller can be reduced to a convex optimization problem. It is shown that the designed controller not only guarantees the asymptotic stability of the closed-loop fuzzy descriptor delay system, but also provides an optimized upper bound of the guaranteed cost. At last, a numerical example is given to illustrate the effectiveness of the proposed method and the perfect performance of the optimal guaranteed cost controller.Based on the delay-independent rule, the problem of optimal guaranteed cost control for a class of Takagi-Sugeno （T-S） fuzzy descriptor systems with time-varying delay is studied. A linear quadratic cost function is considered as the performance index of the closed-loop system. Sufficient conditions for the existence of guaranteed cost controllers via state feedback are given in terms of linear matrix inequalities （LMIs）, and the design of an optimal guaranteed cost controller can be reduced to a convex optimization problem. It is shown that the designed controller not only guarantees the asymptotic stability of the closed-loop fuzzy descriptor delay system, but also provides an optimized upper bound of the guaranteed cost. At last, a numerical example is given to illustrate the effectiveness of the proposed method and the perfect performance of the optimal guaranteed cost controller.

关 键 词：fuzzy descriptor systems optimal guaranteed cost control time-varying delay linear matrix inequalities （LMIs）. 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]