Non-fragile decentralized H_∞ controller design for uncertain linear systems  

作　　者：Zhao Zhihua Chen Yuepeng Zhang Qingling 

机构地区：[1]Coll. of Sciences, Tianjin Univ., Tianjin 300072, P. R. China [2]School of Automation, Wuhan Univ. of Technology, Wuhan 430070, P. R. China [3]Inst. of Systems Science, Coll. of Science, Northeastern Univ., Shenyang 110004, P. R. China

出　　处：《Journal of Systems Engineering and Electronics》2008年第2期321-328,共8页系统工程与电子技术（英文版）

基　　金：the National Natural Science Foundation of China (60674019).

摘　　要：Considering the design problem of non-fragile decentralized H∞ controller with gain variations, the dynamic feedback controller by measurement feedback for uncertain linear systems is constructed and studied. The parameter uncertainties are considered to be unknown but norm bounded. The design procedures are investigated in terms of positive definite solutions to modify algebraic Riccati inequalities. Using information exchange among local controllers, the designed non-fragile decentralized H∞ controllers guarantee that the uncertain closed-loop linear systems are stable and with H∞ -norm bound on disturbance attenuation. A sufficient condition that there are such non-fragile H∞ controllers is obtained by algebraic Riccati inequalities. The approaches to solve modified algebraic Riccati inequalities are carried out preliminarily. Finally, a numerical example to show the validity of the proposed approach is given.Considering the design problem of non-fragile decentralized H∞ controller with gain variations, the dynamic feedback controller by measurement feedback for uncertain linear systems is constructed and studied. The parameter uncertainties are considered to be unknown but norm bounded. The design procedures are investigated in terms of positive definite solutions to modify algebraic Riccati inequalities. Using information exchange among local controllers, the designed non-fragile decentralized H∞ controllers guarantee that the uncertain closed-loop linear systems are stable and with H∞ -norm bound on disturbance attenuation. A sufficient condition that there are such non-fragile H∞ controllers is obtained by algebraic Riccati inequalities. The approaches to solve modified algebraic Riccati inequalities are carried out preliminarily. Finally, a numerical example to show the validity of the proposed approach is given.

关 键 词：decentralized control stable H∞ controller algebraic Riccati inequalities gain variations non-fragile. 

分 类 号：TN948.43[电子电信—信号与信息处理]