关键词: 输入时滞, 切换系统, 鲁棒稳定性, Lyapunov泛函, 线性矩阵不等式, 还原法

Abstract:

This paper deals with the robust stability and control of a class of uncertain switched systems with both constant delays and time-varying delays. Based on the reduction method, the Lyapunov stability theory and the linear matrix inequality （LMI） theory, a state feedback controller and a switch strategy are designed, and the sufficient conditions for the system stabilization are determined. Then, a simulation is performed and the effectiveness of the proposed method is verified. It is also proved that the controller based on the reduction method stabilizes more systems than the existing memoryless controllers in the case of a degenerate model.

Key words: input delay, switched system, robust stability, Lyapunov functional, linear matrix inequality, reduction method