Robust reliable guaranteed cost control for nonlinear singular stochastic systems with time delay  

作　　者：Zhang Aiqing Fang Huajing 

机构地区：[1]Dept. of Control Science and Engineering, Huazhong Univ. of Science and Technology, Wuhan 430074, P. R. China [2]Coll. of Mathematics and Computer Science, Jianghan Univ., Wuhan 430056, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》2008年第4期791-798,共8页系统工程与电子技术（英文版）

基　　金：the National Natural Science Foundation of China (60574088,60274014).

摘　　要：To study the design problem of robust reliable guaranteed cost controller for nonlinear singular stochastic systems, the Takagi-Sugeno （T-S） fuzzy model is used to represent a nonlinear singular stochastic system with norm-bounded parameter uncertainties and time delay. Based on the linear matrix inequality （LMI） techniques and stability theory of stochastic differential equations, a stochastic Lyapunov function method is adopted to design a state feedback fuzzy controller. The resulting closed-loop fuzzy system is robustly reliable stochastically stable, and the corresponding quadratic cost function is guaranteed to be no more than a certain upper bound for all admissible uncertainties, as well as different actuator fault cases. A sufficient condition of existence and design method of robust reliable guaranteed cost controller is presented. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method.To study the design problem of robust reliable guaranteed cost controller for nonlinear singular stochastic systems, the Takagi-Sugeno （T-S） fuzzy model is used to represent a nonlinear singular stochastic system with norm-bounded parameter uncertainties and time delay. Based on the linear matrix inequality （LMI） techniques and stability theory of stochastic differential equations, a stochastic Lyapunov function method is adopted to design a state feedback fuzzy controller. The resulting closed-loop fuzzy system is robustly reliable stochastically stable, and the corresponding quadratic cost function is guaranteed to be no more than a certain upper bound for all admissible uncertainties, as well as different actuator fault cases. A sufficient condition of existence and design method of robust reliable guaranteed cost controller is presented. Finally, a numerical simulation is given to illustrate the effectiveness of the proposed method.

关 键 词：fuzzy control reliable control LMI singular systems stochastic stability 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置] TP13[自动化与计算机技术—控制科学与工程]