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研究一类时滞分布参数切换系统的容错控制问题.当执行器失效或部分失效时,建立了系统容错控制的数学模型.通过构造Lyapunov函数,运用Green公式和Poincare不等式,获得了容错控制器存在的充分条件,该条件用一组线性矩阵不等式表示,从而将分布参数切换系统的容错控制问题转化为一组线性矩阵不等式的可行解问题.最后通过数值算例,验证了该方法的有效性.
To study the fault tolerant control problem of a class of distributed parameter switched systems with time delay, a mathematic model of fault tolerant control is established when the actuator fails or partially fails. By constructing Lyapunov function and applying Green’s formula and Poincare’s inequality, The condition is expressed by a set of linear matrix inequalities, which transforms the fault-tolerant control problem of distributed parameter switching system into a feasible solution to a set of linear matrix inequalities. Finally, numerical examples are given to verify the effectiveness of the proposed method.