不确定离散时间马尔可夫切换时滞系统的保成本控制  

Guaranteed cost control for uncertain discrete-time Markovian jumpsystems with mode-dependent time-delays

作　　者：陈武华[1] 关治洪[2] 卢小梅[1] 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004 [2]华中科技大学控制科学与工程系,湖北武汉430074

出　　处：《控制理论与应用》2004年第4期599-601,606,共4页Control Theory & Applications

基　　金：国家自然科学基金项目(60274004;10162001);教育部优秀青年教师项目(EYTP178).

摘　　要：研究了一类不确定具有模式依赖时滞马尔可夫切换系统的保成本控制问题.首先将系统变换为等价的奇异系统,并对等价的奇异系统,构造出一个新型随机Lyapunov泛函.然后运用此Lyapunov泛函,基于线性矩阵不等式,得到了无记忆状态反馈保成本控制器存在的与时滞相关的充分条件.举例结果表明,与现有方法相比,用本文方法可以使成本指标取得较小的成本上界.The problem of guaranteed cost control for a class of uncertain discrete_time Markovian jump systems with mode_dependent time_delays is studied. First, by representing the system in the equivalent form of descriptor system,a new type of stochastic Lyapunov functional for the equivalent descriptor system was constructed. Then, using this new Lyapunov functional, a novel delay_dependent sufficient condition for the existence of memoryless state feedback guaranteed cost controller was derived based on linear matrix inequalities. Finally, a numerical example was presented to show that the proposed method can produce a lower guaranteed cost than the existing methods.

关 键 词：保成本控制 马尔可夫切换系统 离散时间系统 时滞相关 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] TP273[自动化与计算机技术—控制科学与工程]