用LMI方法设计不确定关联时滞大系统H_∞容错控制器

Decentralized Robust H_∞Fault-Tolerant Controller Design for Large-Scale Interconnected Time-Delay Systems-LMI Approach

针对关联项具有N×N个任意未知常时滞的不确定线性连续大系统,在执行器失效的情况下,提出了一种分散的鲁棒H∞容错控制器的设计方法,通过假设可能失效执行器的输出信号为能量有界的干扰输入信号,不确定关联时滞大系统的容错控制问题转化为分散的鲁棒H∞控制问题.控制器可以通过解线性矩阵不等式给出,因而具有数值易解性.最后用一个数值例子验证了该设计方法的有效性.

A way of designing decentralized robust H_∞fault-tolerant controller for large-scale interconnected time-delay systems with N×N unknown constant delays is given .In the case of actuators susceptible to failure, by assuming the output of fault actuator to be energy-bounded signal, the fault-tolerant control problem of large-scale interconnected time-delay systems is transformed into the problem of H_∞control.The controller can be devived from the solutions of by solving tractable LMIs. Finally,a simple example is given for showing the effectiveness of the obtained approach.