State-feedback H_2/H-infinity controller design with D-stability constraints for stochastic systems  

作　　者：Zhongwei LIN Weihai ZHANG 

机构地区：[1]College of Information and Electrical Engineering, Shandong University of Science and Technology, Qingdao Shandong 266510, China

出　　处：《控制理论与应用（英文版）》2007年第3期291-294,共4页

基　　金：This work was supported by the National Natural Science Foundation of China (No. 60474013)

摘　　要：This paper addresses the state-feedback H2/H-infinity controller design that satisfies D-stability constraints for stochastic systems. Firstly, the concept of regional stability for stochastic systems is defined in linear matrix inequality（LMI） regions; Secondly, the characterization about stochastic D-stability is presented. This paper introduces a new technique to solve the regional stability problem for stochastic systems, which is different from the pole placement technique ever used in deterministic systems. Based on this, in the state-feedback case, mixed H2/H-infinity synthesis with D-stability constraints is discussed via LMI optimization.This paper addresses the state-feedback H2/H-infinity controller design that satisfies D-stability constraints for stochastic systems. Firstly, the concept of regional stability for stochastic systems is defined in linear matrix inequality（LMI） regions; Secondly, the characterization about stochastic D-stability is presented. This paper introduces a new technique to solve the regional stability problem for stochastic systems, which is different from the pole placement technique ever used in deterministic systems. Based on this, in the state-feedback case, mixed H2/H-infinity synthesis with D-stability constraints is discussed via LMI optimization.

关 键 词：LMI region D-STABILITY H-infinity control 

分 类 号：O231.3[理学—运筹学与控制论]