| Reliable grading robust stabilization for uncertain time-varying systems via dynamic compensator |
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| 作者姓名： | JIA Xinchun ZHENG Nanning |
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| 作者单位： | Institute of Artificial Intelligence and Robotics, Xi'an Jiaotong University, Xi'an 710049, China,Institute of Artificial Intelligence and Robotics, Xi'an Jiaotong University, Xi'an 710049, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China (Grant Nos. 60024301 and 60175006) |
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| 摘 要： | A new general model for uncertain time-varying parameters and a new measure sensor failure model are presented, and the problems of both grading robust stabilization and reliable grading robust stabilization for such systems are studied. By the Lyapunov stability theory and matrix algebra method, some sufficient criteria for the above two control problems are established in quasi-linear matrix inequalities (Q-LMIS) forms. In view of linear matrix inequality (LMI) approach, a solving procedure for the Q-LMIS problem is proposed. The solvability of the Q-LMIS problem can be improved obviously by adding some LMI constraints to the Q-LMIS. Based on the two Q-LMIS criteria, a grading robust stable control strategy, namely, the controller with different energy is acted on the system with different uncertain parameter range, is presented. The numerical simulating results show that the grading robust stable control strategy for the robust stabilization of uncertain systems has important theoretical and practical significance.
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| 关 键 词： | uncertain parameters model measure sensor failure model grading robust stabilization dynamic comp |
Reliable grading robust stabilization for uncertain time-varying systems via dynamic compensator |
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| JIA Xinchun,ZHENG Nanning.Reliable grading robust stabilization for uncertain time-varying systems via dynamic compensator[J].Progress in Natural Science,2002,12(10):777-784. |
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| Authors: | JIA Xinchun Zheng Nanning |
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| Institution: | Institute of Artificial Intelligence and Robotics, Xi'an Jiaotong University, Xi'an 710049, China |
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| Abstract: | A new general model for uncertain time-varying parameters and a new measure sensor failure model are presented, and the problems of both grading robust stabilization and reliable grading robust stabilization for such systems are studied. By the Lyapunov stability theory and matrix algebra method, some sufficient criteria for the above two control problems are established in quasi-linear matrix inequalities (Q-LMIS) forms. In view of linear matrix inequality (LMI) approach, a solving procedure for the Q-LMIS problem is proposed. The solvability of the Q-LMIS problem can be improved obviously by adding some LMI constraints to the Q-LMIS. Based on the two Q-LMIS criteria, a grading robust stable control strategy, namely, the controller with different energy is acted on the system with different uncertain parameter range, is presented. The numerical simulating results show that the grading robust stable control strategy for the robust stabilization of uncertain systems has important theoretical and practical significance. |
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| Keywords: | uncertain parameters model measure sensor failure model grading robust stabilization dynamic comp |
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