切换系统的异步镇定:相邻模型依赖平均驻留时间  

Asynchronous stabilization of switched systems:Adjacent mode-dependent average dwell time

作　　者：王月娥[1] 吴保卫[1] 汪锐[2] 

机构地区：[1]陕西师范大学,数学与信息科学学院,西安710119 [2]大连理工大学,航空航天学院,大连116024

出　　处：《物理学报》2015年第5期50-56,共7页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:61403241;61374072;11371233);中国博士后科学基金(批准号:2014M560748);中央高校基本科研业务费专项资金(批准号:GK201503011)资助的课题~~

摘　　要：本文研究一类切换线性系统在异步切换下的镇定问题.由于控制器的切换信号中存在时滞使得控制器的切换和系统的切换出现了异步的情况.首先,提出了相邻模型依赖平均驻留时间的定义.然后,通过合并切换信号的方法和多Lyapunov函数方法,给出了相邻模型依赖平均驻留时间切换下整个切换系统稳定的充分条件和控制器设计.这些条件反映了系统的连续动态、切换时滞和平均驻留时间之间的关系.最后,通过例子验证了本文方法的有效性.This paper addresses the stabilization problem of a class of switched linear systems. Due to the presence of switching delay in the switching signal of the controller, the switching of the controller and the of the system are turned out to be asynchronous. By combining switching signal method with the multiple Lyapunov function method, some su？cient conditions are provided to guarantee the stability of the whole switched system by an adjacent mode-dependent average dwell time scheme. These conditions imply the relationship among the continuous dynamics, switching delay, and the average dwell time. Finally, a numerical example is presented to illustrate the effectiveness of the proposed method.

关 键 词：切换系统 异步切换 相邻模型依赖平均驻留时间 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]