时滞T-S模糊系统的无源控制器设计

Passive Controller Design for T-S Fuzzy Systems with Time-delay

针对时滞T-S模糊系统,给出了使得系统无源的状态反馈控制器存在的充分条件,与现有结果相比保守性更小.在此基础上,给出了基于观测器的无源控制器与动态输出反馈无源控制器存在的充分条件.控制器的设计方法都归结为求解一组线性矩阵不等式(Linear matrix inequality,LMI).最后通过仿真例子,说明所给设计方法的有效性.

A sufficient condition is derived for the existence of passive state feedback controller for T-S fuzzy systems with time-delay. Compared with the existing results, this condition is less conserwtive. Based on this result, sufficient conditions are given for the existence of observer-based controller and dynamic output feedback controller. The controllers are designed by solving a set of linear matrix inequalities （LMIs）. Finally, two illustrative examples are given to show the validity of the proposed approaches.