改进的Markov切换系统区间时滞相关稳定性与H_∞分析  

Delay-range-dependent stability and H_∞ analysis for improved Markovian jump systems with interval time-varying delays

作　　者：赵旭东[1] 凌明祥[1] 曾庆双[1] 高会军[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：《大连海事大学学报》2009年第2期97-101,105,共6页Journal of Dalian Maritime University

基　　金：国家自然科学基金资助项目(60504008)

摘　　要：为降低系统时滞相关稳定性及性能条件的保守性,构造新的Lyapunov-Krasovskii函数,并引入改进的积分等式方法,以线性矩阵不等式的形式提出具有较小保守性的区间时滞依赖稳定性条件,并给出系统满足性能的充分条件.数值仿真证明了本文方法的有效性。To reduce the conservatism of delay-range-dependent stability and H∞ performance criteria, a Lyapunov-Krasovskii function was developed and the improved integral-equality approach was introduced. Then a less conservative delay-range-dependent stability criterion for Markovian jump systems was proposed in terms of linear matrix inequalities, and a sufficient condition was derived from the H∞ performance. Numerical simulations demonstrate the efficiency of the proposed method.

关 键 词：MARKOV跳跃系统 时滞相关稳定性 线性矩阵不等式 H∞ 性能 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]