不确定非线性切换系统的事件触发保成本有限时间H∞控制  

Event-triggered guaranteed cost finite-time H∞control for uncertain nonlinear switched systems

作　　者：张福燕 吴保卫[1] ZHANG Fuyan;WU Baowei(School of Mathematics and Information Science,Shaanxi Normal University,Xi’an 710119,China)

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710119

出　　处：《纺织高校基础科学学报》2021年第1期91-99,共9页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(61403241);中央高校基本科研业务费专项资金项目(GK201905001)。

摘　　要：为解决不确定和非线性因素引起的切换系统的不稳定,将切换系统中的非线性函数线性化,在事件触发方案下,利用Lyapunov函数和平均驻留时间方法,研究了不确定非线性切换系统的保成本有限时间H∞控制问题。通过设计状态反馈控制器,得到了当切换闭环系统是有限时间有界且具有H∞性能时,切换系统具有保成本上界的充分条件;证明了在事件触发的过程中,不存在Zeno行为。用数值算例验证了结论的正确性和有效性。In order to solve the instability issue of switched systems caused by uncertain and nonlinear factors,firstly,the nonlinear functions in switched systems are linearized.Secondly,the guaranteed cost finite-time H∞control problem of uncertain nonlinear switched systems is investigated by using Lyapunov function and the average dwell-time method under an event-triggered scheme.By designing the state feedback controller,some sufficient conditions are derived that the switched closed-loop system has an upper bound of guaranteed cost when the switched closed-loop system is finite-time bounded with an H∞performance,and it is proved that there is no Zeno behavior in the process of event-triggering.Finally,a numerical value is provided to manifest the correctness and effectiveness of conclusion。

关 键 词：不确定非线性切换系统 事件触发 H∞性能 保成本 

分 类 号：O231[理学—运筹学与控制论]