不确定T-S模糊广义系统的无源控制

朱宝彦; 张庆灵; 佟绍成

不确定T-S模糊广义系统的无源控制

1.
Institute of Systems Science;Northeastern University Shenyang 110004;
2.
College of Sciences;Shenyang Jianzhu University Shenyang 110168;
3.
Department of Mathematics and Physics,Liaoning Institute of Technology Jinzhou 121001

详细信息

通讯作者:
朱宝彦

计量
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- 被引次数: 0
出版历程
- 收稿日期: 2005-08-08
- 修回日期: 2005-12-12
- 刊出日期: 2006-09-20

Passivity Control for Uncertain T-S Fuzzy Descriptor Systems

1.
Institute of Systems Science;Northeastern University Shenyang 110004;College of Sciences;Shenyang Jianzhu University Shenyang 110168;Department of Mathematics and Physics;Liaoning Institute of Technology Jinzhou 121001

摘要

摘要: By means of matrix decomposition method a criterion is presented for the admissibility of T-S fuzzy descriptor system. Then, the problem of passivity control is studied for a kind of T-S fuzzy descriptor system with uncertain parameters, and sufficient conditions which make the closed-loop system admissible and strictly passive are obtained based on linear matrix inequality (LMI). The nonstrict LMIs restricted conditions which characterize the descriptor system are transformed into strict ones, so testing admissibility and passivity of the system can be finished simultaneously. The design scheme of state feedback controller is also obtained. Finally, a numerical example is given to show the validity and feasibility of the proposed approach.
- Uncertain T-S fuzzy descriptor systems /
- admissibility /
- passivity /
- linear matrix inequality (LMI)
Abstract: By means of matrix decomposition method a criterion is presented for the admissibility of T-S fuzzy descriptor system. Then, the problem of passivity control is studied for a kind of T-S fuzzy descriptor system with uncertain parameters, and sufficient conditions which make the closed-loop system admissible and strictly passive are obtained based on linear matrix inequality (LMI). The nonstrict LMIs restricted conditions which characterize the descriptor system are transformed into strict ones, so testing admissibility and passivity of the system can be finished simultaneously. The design scheme of state feedback controller is also obtained. Finally, a numerical example is given to show the validity and feasibility of the proposed approach.
- Uncertain T-S fuzzy descriptor systems /
- admissibility /
- passivity /
- linear matrix inequality (LMI)