| Robust Dissipative Control for Nonlinear System with Sector Input |
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| 作者姓名： | Luo Qi Deng Fei-qi Bao Jun-dong
Institute of Automation Science and Engineering South China University of Technology Guangzhou Guangdong China |
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| 作者单位： | Luo Qi，Deng Fei-qi，Bao Jun-dong
Institute of Automation Science and Engineering，South China University of Technology，Guangzhou 510641，Guangdong，China;
Department of Mathematics，Wuhan University of Science and Technology，Wuhan 430060，Hubei，China;
Department of Mathematics，Inner Mongolia Normal University，Hohhot 010022，Inner Mongolia，China |
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| 基金项目： | the National Natural Science Foundation of China(69874015，69934030)and Foundation of the Education Department of Hubei Province(99A121) |
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| 摘 要： | Based on the quadratic supply rate, the problem of robust dissipative control for a class of uncertain nonlinear system with sector nonlinear input is discussed. The uncertainty is described by bounded norm. It is shown that the robust dissipative control problem can be resolved for all admissible uncertainty, if there exists a storage function such that Hamilton Jacobi inequality holds. When the uncertainties of the system satisfy the matching condition, and input function within the boundedness of the sector, the closed loop system will be stronger dissipativeness, and the controller which we obtained in the paper is more flexible, because it contains an adjustable parameter for some certain range.
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Robust dissipative control for nonlinear system with sector input |
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| Luo Qi,Deng Fei-qi,Bao Jun-dong
Institute of Automation Science and Engineering,South China University of Technology,Guangzhou ,Guangdong,China,.Robust Dissipative Control for Nonlinear System with Sector Input[J].Wuhan University Journal of Natural Sciences,2003,8(2):347-350. |
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| Authors: | Luo Qi Deng Fei-ql Bao Jun-dong |
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| Institution: | (1) Institute of Automation Science and Engineering, South China University of Technology, 510641 Guangzhou, Guangdong, China;(2) Department of Mathematics, Wuhan University of Science and Technology, 430060 Wuhan, Hubei, China;(3) Department of Mathematics, Inner Mongolia Normal University, 010022 Hohhot, Inner Mongolia, China |
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| Abstract: | Based on the quadratic supply rate, the problem of robust dissipative control for a class of uncertain nonlinear system with sector nonlinear input is discussed. The uncertainty is described by bounded norm. It is shown that the robust dissipative control problem can be resolved for all admissible uncertainty, if there exists a storage function such that Hamilton Jacobi inequality holds. When the uncertainties of the system satisfy the matching condition, and input function within the boundedness of the sector, the closed loop system will be stronger dissipativeness, and the controller which we obtained in the paper is more flexible, because it contains an adjustable parameter for some certain range. |
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| Keywords: | nonlinear system sector nonlinear input ro-bust dissipative control |
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