离散切换线性系统的异步滤波器设计  

Asynchronous filter design for discrete-time switched linear systems

作　　者：郝现志 黄金杰[1,2,3] 潘晓真 HAO Xian-zhi;HUANG Jin-jie;PAN Xiao-zhen(School of Computer Science and Technology,Harbin University of Science and Technology,Harbin 150080,China;School of Automation,Harbin University of Science and Technology,Harbin 150080,China;Heilongjiang Provincial Key Laboratory of Complex Intelligent System and Integration,Harbin 150080,China)

机构地区：[1]哈尔滨理工大学计算机科学与技术学院,哈尔滨150080 [2]哈尔滨理工大学自动化学院,哈尔滨150080 [3]黑龙江省复杂智能系统与集成重点实验室,哈尔滨150080

出　　处：《控制与决策》2022年第7期1785-1793,共9页Control and Decision

基　　金：国家自然科学基金项目(61305001);黑龙江省自然科学基金项目(F201222).

摘　　要：利用模型依赖的平均驻留时间策略研究离散异步切换线性系统的指数H_(∞)滤波问题.考虑到在实际问题中,所设计的模型依赖的全阶滤波器的切换往往会滞后于其相应的子系统,将子系统的运行区间划分为与滤波器匹配的区间和不匹配的区间.针对两种工作模态,利用模型依赖的平均驻留时间切换策略和μ依赖的多Lyapunov函数方法完成滤波器的设计,并使得增广得到的异步滤波误差系统全局一致指数稳定且满足指数H_(∞)性能指标.该滤波器存在的充分条件在文中以线性矩阵不等式的形式给出.最后通过数值仿真验证所提方法的有效性.This paper addresses the exponential H_(∞) filtering problem of asynchronous switched linear discrete-time systems with mode-dependent average dwell time(MDADT).In practical situation,the switching of the designed mode-dependent full-order filter often lags behind its corresponding subsystems.Therefore,the running time interval of the subsystem is divided into two parts:the matched and the mismatched.For these two parts,the full-order filter is designed using the MDADT and the μ dependent multi-Lyapunov function method,such that the global uniform exponential stability and exponential H_(∞) performance of the asynchronous filtering error system are guaranteed.The sufficient conditions for the existence of the designed filter are given in terms of LMIs.Finally,a numerical example is provided to illustrate the effectiveness of the proposed method.

关 键 词：切换系统 异步切换 H_(∞)滤波 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]