带马尔科夫跳的模态相关时变时滞随机系统的状态反馈控制器设计(英文)  

Delayed-state-feedback Exponential Stabilization of Stochastic Markovian Jump Systems with Mode-dependent Time-varying State Delays

作　　者：马莉 达飞鹏 吴凌尧 

机构地区：[1]Key Laboratory of Measurement and Control for Complex Systems of Engineering,Ministry of Education,Research Institute of Automation,Southeast University [2]College of Electronic and Information Engineering,Jiangsu University

出　　处：《自动化学报》2010年第11期1601-1610,共10页Acta Automatica Sinica

基　　金：Supported by National Natural Science Foundation of China(60904026);the Program for New Century Excellent Talents in University;the Graduate Innovation Program of Jiangsu Province(CX09B-051Z);the Scientific Research Foundation of Graduate School of Southeast University (YBJJ0929)

摘　　要：In this paper,an improved mean-square exponential stability condition and delayed-state-feedback controller for stochastic Markovian jump systems with mode-dependent time-varying state delays are obtained. First,by constructing a modified Lyapunov-Krasovskii functional,a mean-square exponential stability condition for the above systems is presented in terms of linear matrix inequalities (LMIs). Here,the decay rate can be a finite positive constant in a range and the derivative of time-varying delays is only required to have an upper bound which is not required to be less than 1. Then,based on the proposed stability condition,a delayed-state-feedback controller is designed. Finally,numerical examples are presented to illustrate the effectiveness of the theoretical results.In this paper,an improved mean-square exponential stability condition and delayed-state-feedback controller for stochastic Markovian jump systems with mode-dependent time-varying state delays are obtained. First,by constructing a modified Lyapunov-Krasovskii functional,a mean-square exponential stability condition for the above systems is presented in terms of linear matrix inequalities （LMIs）. Here,the decay rate can be a finite positive constant in a range and the derivative of time-varying delays is only required to have an upper bound which is not required to be less than 1. Then,based on the proposed stability condition,a delayed-state-feedback controller is designed. Finally,numerical examples are presented to illustrate the effectiveness of the theoretical results.

关 键 词：马尔科夫跳 模态相关 时变时滞随机系统 状态反馈控制器 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]