文献类型：期刊文献

英文题名：A Hybrid Design Approach for Output Feedback Exponential Stabilization of Markovian Jump Systems

作者：Song, Jun[1];Niu, Yugang[1];Lam, James[2];Shu, Zhan[3,4]

机构：[1]East China Univ Sci & Technol, Key Lab Adv Control & Optimizat Chem Proc, Minist Educ, Shanghai 200237, Peoples R China;[2]Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China;[3]Univ Southampton, Sch Engn Sci, Southampton SO17 1BJ, Hants, England;[4]Jiangsu Normal Univ, Xuzhou, Peoples R China

年份：2018

卷号：63

期号：5

起止页码：1404

外文期刊名：IEEE TRANSACTIONS ON AUTOMATIC CONTROL

收录：;EI(收录号：20180304658206);WOS:【SCI-EXPANDED(收录号:WOS:000430968300013)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grants 61673174 and 61403173, in part by the Cheung Kong Chair Professor Program, GRF, under Grant 17205815, and in part by the 111 Project (B17017) from China. Recommended by Associate Editor E. Zhou. (Corresponding authors: Yugang Niu and James Lam.)

语种：英文

外文关键词：Discrete time; exponential stability; Markovian jump systems; transition probability

摘要：This paper deals with the exponential stabilization problem of discrete-time Markovian jump systems via a hybrid control strategy, in which the transition probability matrix and static output-feedback controller are designed simultaneously. A necessary and sufficient condition for the existence of an exponential stabilizing transition probability matrix is derived by means of a mode-dependent parametric approach. Furthermore, a sufficient condition is established for the above-mentioned hybrid design with a specified lower bound on the decay rate. The proposed design approaches can be applied to solve two kinds of control design problems with practical constraints imposed on the hybrid design. Besides, an estimation approach is proposed on the decay rate and decay coefficient of the jump systems. Also, two optimization problems are formulated to obtain the hybrid control strategy. Finally, two numerical examples and a network-on-chip based application are provided to illustrate the effectiveness of the proposed results.