It型区间变时滞Markov切换系统时滞相关H_∞性能  

Delay-range-dependent H_∞ performance analysis for It stochastic markovian jump systems with interval time-varying delays

作　　者：曾庆双[1] 赵旭东[1] 

机构地区：[1]哈尔滨工业大学空间控制与惯性技术研究中心,哈尔滨150001

出　　处：《哈尔滨商业大学学报（自然科学版）》2011年第1期57-63,共7页Journal of Harbin University of Commerce：Natural Sciences Edition

基　　金：国防科技预研基金(9140A17030207HT0150)

摘　　要：研究了时变时滞满足h1≤d(t)≤h2的It型随机马尔可夫切换系统的区间时滞相关H∞性能分析问题,将时变时滞d(t)分成h1+h(t)两部分,并通过分割常时滞部分的思想,建立新颖的Lya-punov-Krasovsk ii泛函,并引入一些改进的积分等式,以线性矩阵不等式的形式给出了低保守性的区间时滞相关H∞性能条件.最后用几个数值算例说明结论的有效性及具有较低的保守性.In this paper,the delay-range-dependent H∞ performance problems for It stochastic Markovian jump linear systems with interval time-varying delays satisfying h1≤d（t）≤h2 were investigated.The improvement was achieved by representing d（t） as h1＋h（t）,and in terms of linear matrix inequalities,a less conservative delay-range-dependent H∞ performance condition for Markovian jump systems was proposed by constructing a novel Lyapunov-Krasovskii function with the idea of partitioning the time delay and introducing new integral-equality approach.Numerical examples were provided to demonstrate efficiency and reduced conservatism of the results in this paper.

关 键 词：时滞相关H_∞性能 区间时变时滞 马尔可夫切换系统 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]