异步时滞切换正系统的有限时间镇定

研究异步切换下时滞切换正系统的有限时间控制问题,即针对控制器切换滞后于子系统切换形成的异步现象,基于平均驻留时间切换方法对切换正系统开展有限时间镇定研究.首先,将每个正子系统运行的区间划分为子系统与控制器匹配和失配区间,并构造多余正Lyapunov-Krasovskii泛函;其次,基于有限时间稳定理论,实现平均驻留时间切换律及异步时滞切换正系统有限时间镇定控制器的联合设计,并给出连续时间和离散时间两种情形下系统有限时间镇定的充分条件;最后,通过两个仿真例子验证所提出方法的有效性.

Finite-time stabilization for switched positive time-delay systems under asynchronous switching

This paper aims to investigate the finite-time control problem of time-delay switched positive systems under asynchronous switching. That is, for the asynchronous phenomenon caused by the switching of the controller lagging behind the switching of the subsystems, a finite-time stabilization research is carried out for switched positive systems based on the average dwell time switching method. Firstly, the running interval of each positive subsystem is divided into controller matched interval and controller mismatched interval, and the multiple co-positive Lyapunov-Krasovskii functional is constructed. Then, based on the finite-time stability theory, the suitable average dwell time switching law and controllers that guarantee the time-delay switched positive system under asynchronous switching finite-time stable are designed, and sufficient conditions of the finite-time stabilization for both continuous time and discrete time systems are given. Finally, two examples are provided to verify the effectiveness of the proposed method.