Guaranteed cost control for uncertain fuzzy systems with time-delay
A guaranteed cost control method for nonlinear systems with time-delay is introduced in this paper, which can be represented by Takagi-Sugeno (T-S) fuzzy models with time-delays. The state feedback approach is considered. By introducing a new Lyapunov-Krasovskii functional with adjustable parameters, and based on delay-dependent stability analysis, some sufficient conditions for the existence of state feedback controller via parallel distributed compensation (PDC) are given in the form of linear matrix inequalities (LMIs). The different guaranteed cost and different feedback gains are gotten by choosing different adjustable parameters. Different feedback gains lead to different dynamic performance of closed-loop systems, therefore, the optimal dynamic performance of closed-loop systems can be gotten by choosing proper adjustable parameters. The guaranteed cost can be regarded as the function of adjustable parameters, and an algorithm is given to get the minimum of the guaranteed cost. The effectiveness of the proposed method can be illustrated by the simulation example.
Time-delay systems T-S fuzzy model guaranteed cost control linear matriz inequality
HE Shuaitian DU Chunyan
Department of Foundation, the First Aeronautical College of Air Force, Henan Xinyang, 464000
国际会议
2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)
广西桂林
英文
4100-4105
2009-06-17（万方平台首次上网日期，不代表论文的发表时间）