中文摘要：

切换系统是一类重要的混合系统，具有广泛的应用背景．针对许多实际切换系统状态不可测的特点，将多Lyapunov函数方法和线性矩阵不等式技术相结合，设计了线性切换系统基于观测器的输出反馈镇定控制器，给出了系统可镇定的充分条件，同时给出了该条件下切换观测器和反馈控制器的参数化表示，以及基于重构状态的稳定化切换律构造方法．最后的算例和仿真结果表明该方法简单、有效、便于应用．

英文摘要：

Switched system is an important class of hybrid system, which has widespread application background. Aiming at the characteristics that the state of many actual switched systems is immeasurable, the observer-based output feedback stabilizing controllers were designed for switched linear system by combi- ning multiple Lyapunov functions with linear matrix inequalities technique. The sufficient conditions of observer-based output feedback stabilization were derived. The hing observer and controller were provided and the correspon para ding meterized characterizations of the switcswitching strategy based on restructured state was constructed. Finally, the example and simulation results show that the proposed methods are simple, effective and convenient for the application.