具有执行器故障的Delta算子系统D稳定H∞鲁棒容错控制

摘要

The robust H∞ fault-tolerant control problem of circular regional pole constraints for delta operator uncertain linear systems is studied. In terms of a LMI approach, a sufficient condition for the existence of a robust fault-tolerant controller for the delta operator systems is presented, it can assure that the delta operator systems satisfy a regional pole constraints and H∞ -norm bound constraint in the event of uncertainty and actuator failures. Then the controller can be designed through solving LMI. The proposed results can unify previous related conclusions of continuous time and discrete time systems with fault-tolerant control into the delta framework. A numerical simulation shows the feasibility of the developed algorithms.%研究Delta算子描述的不确定线性系统在区域极点约束和H∞范数界约束下的鲁棒容错控制l问题.利用线性矩阵不等式(LMI)理论,给出了在执行器失效情况下Delta算子不确定系统在区域极点约束下的鲁棒H∞容错控制存在的充分条件,并可通过求解LMI得到鲁棒容错控制器的设计.所得结果可将连续系统和离散系统的有关结果统一到Delta算子框架中.数值算例验证了该方法的可行性.