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| Non-fragile decentralized H∞ controller design for uncertain linear systems | |
| 作者单位： | Zhao Zhihua（Coll. of Sciences, Tianjin Univ., Tianjin 300072, P. R. China） ; Chen Yuepeng（School of Automation, Wuhan Univ. Of Technology, Wuhan 430070, P. R. China） ; Zhang Qingling（Inst. Of Systems Science, Coll. Of Science, Northeastern Univ., Shenyang 110004, P. R. China） ; |
| 基金项目： | This project was supported by 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. |
| 关 键 词： | 控制器 不确定线形系统 设计方案 代数 |
| 收稿时间： | 17 November 2006 |
Non-fragile decentralized H∞ controller design for uncertain linear systems |
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| Authors: | Zhao Chen Zhang |
| Institution: | aColl. of Sciences, Tianjin Univ., Tianjin 300072, P. R. China bSchool of Automation, Wuhan Univ. of Technology, Wuhan 430070, P. R. China cInst. of Systems Science, Coll. of Science, Northeastern Univ., Shenyang 110004, P. R. China |
| Abstract: | 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. |
| Keywords: | decentralized control stable H∞ controller algebraic Riccati inequalities gain variations non-fragile |
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