异步切换下δ算子切换系统的可靠保成本控制  

Reliable Guaranteed Cost Control of Delta Operator Switched Systems under Asynchronous Switching

作　　者：林秋玲 肖民卿[2] LIN Qiu-ling;XIAO Min-qing(School of Mathematics and Statistics,Fujian Normal University,Fuzhou 350117,China;Fujian Key Laboratory of Mathematical Analysis and Applications,Fujian Normal University,Fuzhou 350117,China)

机构地区：[1]福建师范大学数学与统计学院,福建福州350117 [2]福建师范大学福建省分析数学及应用重点实验室,福建福州350117

出　　处：《南宁师范大学学报（自然科学版）》2023年第3期40-50,共11页Journal of Nanning Normal University：Natural Science Edition

摘　　要：该文研究异步切换下δ算子切换系统的可靠保成本控制问题.首先基于模态依赖平均驻留时间法和多凸Lyapunov函数法,对δ算子切换系统的全局一致指数稳定性进行分析并给出满足保成本控制性能的异步状态反馈控制器存在的充分条件.其次设计了异步状态反馈保成本控制器.最后以数值算例的方式说明了方法的有效性.This paper studies the problem of reliable guaranteed cost control for a class of delta operator switched systems under asynchronous switching.First,in light of the mode-dependent average dwell time technique and the multiple convex Lyapunov function approach,we analyse the globally uniformly exponentially stability of delta operator switched systems and give a sufficient condition for the beingness of an asynchronous state feedback controller that satisfies the guaranteed cost control performance.Then we design a state feedback guaranteed cost controller for switched systems under asynchronous switching.Finally the validity of the proposed approach is verified by a numerical example.

关 键 词：异步切换 全局一致指数稳定 保成本控制 模态依赖平均驻留时间 多凸Lyapunov函数 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]