线性连续时滞系统的H_∞容错控制

H ∞ Fault Tolerance Control for Linear Time Delay Systems

考虑了一类线性连续时滞系统在控制系统部件（执行器）可能失效的情况下的Ｈ∞容错控制器的设计问题．基于一个修正的含参数的Ｒｉｃｃａｔｉ方程的求解，得到了能使闭环时滞系统时滞无关渐近稳定，并且保证从外扰输入到输出的传递函数的Ｈ∞范数不大于预先给定的干扰衰减指标约束的状态反馈控制器存在的充要条件，而且给出了这种控制律的解析表达式．为说明所提出的控制方法的有效性，模拟了一个简单的例子．

this paper focuses on the problem of H ∞ fault tolerance control design for linear time delay systems in the event of actuator failure.Based on positive definite solution of a modified algebraic Riccati equation,sufficient and necessary conditions are obtained for the H ∞ static state feedback controller stabilizing the closed loop time delay system independently of time delay and guaranteeing the H ∞ norm constraint bound.Furthermore,we give an analytic representation. Finally ,an illustrative example is given to demonstrate the applicability of the proposed approach.