| 摘要: |
| This paper deals with the problem of guaranteed cost control for nonlinear systems with time-varying delays which is represented by Takagi-Sugeno (T-S) fuzzy models with time-varying delays. The derivatives of timevarying delay are not necessary to be bounded. Based on the free weighting matrix method, sufficient conditions for the existence of fuzzy guaranteed cost controller via state feedback are given in terms of linear matrix inequalities (LMIs). A minimizing method is also proposed to search the suboptimal upper bound of the guaranteed cost function. The results are delay-dependent but contain delay-independent criteria as a special case. A numerical example is presented to demonstrate the effectiveness and less conservativeness of our work. |
| 关键词: Delay systems Guaranteed cost control T-S fuzzy systems |
| DOI： |
| Received:February 04, 2009Revised:November 19, 2009 |
| 基金项目:This work was supported by the National Natural Science Foundation of China (No.60804011, 60474058), and the Science and Technology Project of Liaoning Provincial Education Department. |
|
| Guaranteed cost control for T-S fuzzy systems with time-varying delays |
| Qiang KANG,Wei WANG |
| (Research Center of Information and Control, Dalian University of Technology, Dalian Liaoning 116024, China) |
| Abstract: |
| This paper deals with the problem of guaranteed cost control for nonlinear systems with time-varying delays which is represented by Takagi-Sugeno (T-S) fuzzy models with time-varying delays. The derivatives of timevarying delay are not necessary to be bounded. Based on the free weighting matrix method, sufficient conditions for the existence of fuzzy guaranteed cost controller via state feedback are given in terms of linear matrix inequalities (LMIs). A minimizing method is also proposed to search the suboptimal upper bound of the guaranteed cost function. The results are delay-dependent but contain delay-independent criteria as a special case. A numerical example is presented to demonstrate the effectiveness and less conservativeness of our work. |
| Key words: Delay systems Guaranteed cost control T-S fuzzy systems |
