不确定时滞系统的动态输出反馈保性能可靠控制

Guaranteed Cost Reliable Control of Dynamic Output Feedback for Uncertain Delay System against Actuator Failure

针对一类不确定时滞线性系统,研究了在执行器发生故障情况下动态输出反馈保性能可靠控制器的设计问题.利用变量替换方法,给出了系统存在动态输出反馈保性能可靠控制器应同时满足的两个线性矩阵不等式(LMIs),并给出了控制器的设计方法和设计步骤.利用论文方法设计的动态输出反馈保性能可靠控制器能够使得时滞系统对于任意允许的不确定性以及执行器失效都保持鲁棒稳定,并且使系统满足保性能的指标要求.数值算例说明了所提出设计方法的有效性.

The problem of guaranteed cost reliable control based on dynamic output feedback is investigated for uncertain delay system against actuator failure. By means of variables switchover,two linear matrix ineqalities（LMIs） which are the sufficient condition of the existing of guaranteed＇cost reliable controller are given. At the same time, the design approaches of dynamic output feedback controller are presented. The resultant control system could retain robust stability and possess the performance index of guaranteed cost despite any outages within a prespecified subset of actuators. A numerical example shows the validity of the design method proposed.