输入时滞不确定切换系统的稳定性分析与控制

Stability Analysis and Control for Uncertain Switched System with Input Delays

文中研究了一类输入中同时存在常时滞和时变时滞的不确定切换系统的鲁棒稳定性及控制问题.依据还原法思想、Lyapunov稳定性理论,结合线性矩阵不等式(LMI),设计了切换系统的状态反馈控制器及相应的切换策略,并给出了系统在控制器作用下稳定的充分条件,仿真算例表明文中方法是有效的.文中还证明了系统在退化模型情况下使用还原法所设计的控制器与传统的无记忆控制器相比能够镇定更多的系统.

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.