切换状态反馈控制系统的稳定性分析

研究了一类切换控制系统的稳定性分析问题，切换控制器由多个线性状态反馈控制器组成。运用Lyapunov方法得出了稳定性的时域判据，通过求解一个线性矩阵不等式的方法分析切换控制系统的稳定性，利用KYP引理得到了等价的频域判据；并且研究了一类含有参数不确定性的切换控制系统的鲁棒稳定性分析问题，给出了稳定性时域判据和频域判据。稳定性分析的主要结果是基于公共二次Lyapunov函数的，适用于切换系统任意切换的情形，该方法在工程实例中的应用表明了其有效性。

Stability Analysis of Switched State Feedback Control System

The problem of stability analysis of a class of switched control systems is studied,in which switched controller comprises multiple linear state feedback controllers.The time-domain stability criteria is obtained using Lyapunov method,and stability analysis of the switched control systems can be performed by solving a linear matrix inequality(LMI).The equivalent frequency-domain criteria is obtained using KYP lemma.The problem of stability analysis of a class of switched control systems with parametric uncertainty is investigated,and both time-domain stability criteria and frequency-domain criteria are presented.Main results of stability analysis are based on common quadratic Lyapunov function and can be applied to the switched systems under arbitrary switching.Finally,an example shous the effctiveness of the presented method.