切换时滞广义系统的保性能控制器设计

摘要

The authors studied the problem of guaranteed cost controller design for a class of switched singular systems with both state and input delays. A new sufficient condition of the existence of guaranteed cost state feedback controllers was derived for the systems by constructing the generalized Lyapunov function and taking the linear matrix inequality approach. Furthermore, the problem of the guaranteed cost controller design could be turned into the solvable problem of a set of linear matrix inequalities. Finally, a numerical example was given to show the potential of the proposed technique.%针对一类同时具有状态时滞和输入时滞的切换广义系统，研究了保性能控制器的设计．通过构造广义Lyapunov函数和线性矩阵不等式（1inearmatrixinequality，LMI），给出了状态反馈保性能控制器存在的充分条件，并将保性能控制器的设计问题转化为线性矩阵不等式的可行解问题．最后用示例说明了该方法的有效性．