二次D稳定约束下不确定T-S模糊系统的L∞鲁棒可靠控制

针对一类受持续有界扰动的T-S不确定模糊系统，提出了考虑执行器故障的鲁棒可靠控制器设计方法。引入基于L_∞范数理论的鲁棒性能指标及二次D稳定的概念，给出了鲁棒可靠控制器存在的充分条件。通过求解线性矩阵不等式完成可靠控制器的设计，从而使系统即使在发生执行器故障的情况下仍能满足给定的L_∞性能指标，并且闭环系统二次D稳定。仿真实例表明了本方法的有效性。

Robust reliable L∞ control for uncertain T-S fuzzy systems with quadratic D stability constraints

For a class of uncertain T-S systems with persistent bounded disturbances, a design method for robust reliable controllers against actuator faults is presented. By introducing a robust performance based on the theory of L_∞-norm and the notion of quadratic D stability, a sufficient condition for the exsistence of the robust reliable controllers is obtained. The design of reliable controllers can be achieved by solving linear matrix inequalities (LMI), thus meeting the required L_∞-norm performance index and making the closed-loop system be quadratic D stable even in the presence of actuator failures. Finlly, a simulaiton example illustrates the effectiveness of the proposed method.