基于观测器的离散切换系统异步切换控制

Observer-based Asynchronous Switching Control for a Class of Discrete Switched Systems

针对系统的输出测量值可能存在随机丢失的情形,研究一类离散时变时滞非线性切换系统基于观测器的异步切换控制问题,其中,异步切换指的是识别运行的子系统和激活相应的匹配控制器之间存在滞后现象。利用Bernoulli分布（二进制开关序列）来描述测量随机丢失现象,通过使用多Lyapunov函数及平均驻留时间方法,给出系统指数均方稳定的充分条件,同时以线性矩阵不等式的形式给出了控制器及观测器的设计方案。最后,通过仿真算例说明所得结果的有效性。

The problem of observer-based asynchronous switching control is studied for a class of time-varying delay nonlinear switched systems with random missing measurement, where the asynchronous switching means that activating the corresponding controller lags behind identifying the activated subsystem. A Bernoulli distributed（binary switching sequence） is used to describe the random missing measurement. A sufficient condition for the whole system to be exponentially mean square stable is presented by using piecewise Lyapunov functional and average dwell-time method, and the controller and the observer are designed in the form of linear matrix inequalities at the same time. Finally, a numerical example is provided to verify the efficiency of the proposed results.