不确定变时滞系统的模糊静态输出反馈保性能可靠控制

针对一类含有执行器故障的变时滞不确定性T-S模糊模型,采用静态输出反馈的并行分布补偿器(PDC)结构,研究了其模糊静态输出反馈保性能可靠控制律的设计问题。通过定义一类时滞相关Lyapunov-Kra-sovskii函数,基于线性矩阵不等式(LMI),给出了模糊静态输出反馈保性能可靠控制器存在的条件,所设计的控制器可保证在正常和执行器故障情况下,闭环系统都能渐近稳定,并且正常保性能上界小于故障保性能上界。仿真实验验证了该设计方法的有效性。

Fuzzy static output feedback guaranteed cost reliable control for uncertain time-varying delay systems

For a class of uncertain time-varying delay Takagi-Sugeno(T-S) fuzzy systems with actuator failures,the problem of designing a fuzzy static output feedback guaranteed cost reliable controller is considered via the parallel-distributed compensation(PDC) approach.By defining a delay dependent Lyapunov-Krasovskii function,the sufficient condition for the existence of the fuzzy static output feedback guaranteed cost reliable controller is presented in terms of linear matrix inequality(LMI),which not only guarantees the stability of the close-loop system for the normal and actuator fault cases,but also provides the upper bounds on the guaranteed cost function for the normal case is less than the upper bounds on the guaranteed cost function for actuator fault cases.The simulation results demonstrate the effectiveness of the proposed method.