转移概率部分未知的网络化马尔科夫跳变系统镇定（英文）  

Stabilization for Networked Markovian Jump Systems with Partly Unknown Transition Probabilities

作　　者：蒉秀惠[1] 王燕锋 KUI Xiu-hui;WANG Yan-feng(Huzhou Vocational &Technical College,Zhejiang Huzhou 313000,P.R.China;School of Engineering,Houzhou University,Huzhou 313000,P.R.China)

机构地区：[1]湖州职业技术学院机电与汽车工程学院,浙江湖州313000 [2]湖州师范学院工学院,浙江湖州313000

出　　处：《控制工程》2018年第12期2279-2284,共6页Control Engineering of China

基　　金：国家自然科学基金资助项目(61573136);浙江省自然科学基金项目(19F030001);浙江公益技术计划项目(GG18F030009);湖州市自然科学基金项目(2018YZ10)

摘　　要：研究了具有随机时延的网络化马尔科夫跳变系统的镇定问题。首先,将随机时延建模为有限状态的马尔科夫链,通过状态增广的方法,得到了具有2个马尔科夫链的闭环系统模型。然后,考虑到时延和系统模态的转移概率均部分未知,将已知概率和未知概率相分离并把未知概率舍弃,以矩阵不等式的形式得到了镇定控制器存在的条件,同时给出了控制器增益矩阵的计算方法。最后,数值仿真说明了所用方法的有效性。The stabilization problem for networked Markovian jump system with random time-delay is researched. First, The random time-delay is modeled as a finite-state Markovian chain, and the closed-loop system model which contains two Markovian chains is obtained by means of state augmentation technique. Next, considering the partly unknown transition probabilities of time-delay and system mode, the known probabilities are separated from the unknown ones which are abandoned. The condition on the existence of the stabilizing controller is established in terms of matrix inequalities. The method of calculating the gain matrixes are also presented. Finally, a numerical example is employed to show the validity of the proposed method.

关 键 词：时延 马尔科夫跳变系统 转移概率矩阵 矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]