离散广义线性时滞系统的有记忆状态反馈H_∞容错控制

Fault-tolerant H_∞ control for discrete descriptor linear systems with time delay via memory state feedback

研究离散广义线性时滞系统在有记忆状态反馈作用下的H∞容错控制问题。针对执行器故障情形,利用Lyapunov稳定性理论和线性矩阵不等式方法,给出了故障发生时闭环广义系统容许且H∞性能指标满足给定上界的充分条件;同时,给出了有记忆状态反馈容错控制器的设计方法。数值例子表明了所提出方法的有效性。

The problem of fault - tolerant H∞ control for discrete descriptor linear systems with time delay via memory state feedback is studied. Using Lyapunov stability theory and linear matrix inequality approach, a sufficient condition is given,which guarantees that the resulting closed -loop descriptor system is admissible and satisfies a prescribed H∞ norm - bounded constraint in the case of actuator failures. Meanwhile, the design method of the memory state feedback fault - tolerant controller is proposed. Finally, a numerical example shows the effectiveness of the proposed method.