Optimal guaranteed cost control for an uncertain discrete T-S fuzzy system with time-delay  

作　　者：Renming WANG Thierry Marie GUERRA Juntao PAN 

机构地区：[1]College of Electrical Engineering and Information Technology, Three Gorges University, Yichang Hubei 443002, China [2]LAMIH, UMR CNRS, Universite de Valenciennes et du Hainaut-Canbresis, Le Mont Houy, Valenciennes Cedex, France [3]Key Laboratory of Measurement and Control of CSE of Ministry of Education, Southeast University, Nanjing Jiangsu 210096, China

出　　处：《控制理论与应用（英文版）》2009年第2期144-150,共7页

基　　金：supported by the Natural Science Foundation of Hubei Province (No.2007ABA361)

摘　　要：This paper considers the guaranteed cost control problem for a class of uncertain discrete T-S fuzzy systems with time delay and a given quadratic cost function. Sufficient conditions for the existence of such controllers are derived based on the linear matrix inequalities （LMI） approach by constructing a specific nonquadratic Lyapunov-Krasovskii functional and a nonlinear PDC-like control law. A convex optimization problem is also formulated to select the optimal guaranteed cost controller that minimizes the upper bound of the closed-loop cost function. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed approaches.This paper considers the guaranteed cost control problem for a class of uncertain discrete T-S fuzzy systems with time delay and a given quadratic cost function. Sufficient conditions for the existence of such controllers are derived based on the linear matrix inequalities （LMI） approach by constructing a specific nonquadratic Lyapunov-Krasovskii functional and a nonlinear PDC-like control law. A convex optimization problem is also formulated to select the optimal guaranteed cost controller that minimizes the upper bound of the closed-loop cost function. Finally, numerical examples are presented to demonstrate the effectiveness of the proposed approaches.

关 键 词：Fuzzy system Time delay Linear matrix inequalities （LMI） Guaranteed cost control 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP273[自动化与计算机技术—控制科学与工程]