Stabilizability of Linear Quadratic State Feedback for Uncertain Fuzzy Time-Delay Systems

Rong Jyue Wang; Wei Wei Lin; Wen June Wang

doi:10.1109/TSMCB.2003.818437

Stabilizability of Linear Quadratic State Feedback for Uncertain Fuzzy Time-Delay Systems

Rong Jyue Wang, Wei Wei Lin, Wen June Wang

電機工程學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

137 引文斯高帕斯（Scopus）

摘要

This paper investigates the problem of designing a fuzzy state feedback controller to stabilize an uncertain fuzzy system with time-varying delay. Based on Lyapunov criterion and Razumikhin theorem, some sufficient conditions are derived under which the parallel-distributed fuzzy control can stabilize the whole uncertain fuzzy time-delay system asymptotically. By Schur complement, these sufficient conditions can be easily transformed into the problem of LMIs. Furthermore, the tolerable bound of the perturbation is also obtained. A practical example based on the continuous stirred tank reactor (CSTR) model is given to illustrate the control design and its effectiveness.

原文	???core.languages.en_GB???
頁（從 - 到）	1288-1292
頁數	5
期刊	IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
卷	34
發行號	2
DOIs	https://doi.org/10.1109/TSMCB.2003.818437
出版狀態	已出版 - 4月 2004

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10.1109/TSMCB.2003.818437

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abstract = "This paper investigates the problem of designing a fuzzy state feedback controller to stabilize an uncertain fuzzy system with time-varying delay. Based on Lyapunov criterion and Razumikhin theorem, some sufficient conditions are derived under which the parallel-distributed fuzzy control can stabilize the whole uncertain fuzzy time-delay system asymptotically. By Schur complement, these sufficient conditions can be easily transformed into the problem of LMIs. Furthermore, the tolerable bound of the perturbation is also obtained. A practical example based on the continuous stirred tank reactor (CSTR) model is given to illustrate the control design and its effectiveness.",

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author = "Wang, {Rong Jyue} and Lin, {Wei Wei} and Wang, {Wen June}",

note = "Funding Information: Manuscript received September 30, 2002; revised March 10, 2003. This work was supported by National Science Council of Taiwan under Grant NSC 91-2213-E-008-022. This paper was recommended by Associate Editor W. Pedrycz.",

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N1 - Funding Information: Manuscript received September 30, 2002; revised March 10, 2003. This work was supported by National Science Council of Taiwan under Grant NSC 91-2213-E-008-022. This paper was recommended by Associate Editor W. Pedrycz.

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N2 - This paper investigates the problem of designing a fuzzy state feedback controller to stabilize an uncertain fuzzy system with time-varying delay. Based on Lyapunov criterion and Razumikhin theorem, some sufficient conditions are derived under which the parallel-distributed fuzzy control can stabilize the whole uncertain fuzzy time-delay system asymptotically. By Schur complement, these sufficient conditions can be easily transformed into the problem of LMIs. Furthermore, the tolerable bound of the perturbation is also obtained. A practical example based on the continuous stirred tank reactor (CSTR) model is given to illustrate the control design and its effectiveness.

AB - This paper investigates the problem of designing a fuzzy state feedback controller to stabilize an uncertain fuzzy system with time-varying delay. Based on Lyapunov criterion and Razumikhin theorem, some sufficient conditions are derived under which the parallel-distributed fuzzy control can stabilize the whole uncertain fuzzy time-delay system asymptotically. By Schur complement, these sufficient conditions can be easily transformed into the problem of LMIs. Furthermore, the tolerable bound of the perturbation is also obtained. A practical example based on the continuous stirred tank reactor (CSTR) model is given to illustrate the control design and its effectiveness.

KW - Fuzzy control

KW - Linear matrix inequalities (LMIs)

KW - Razumikhin theorem

KW - T-S fuzzy model

KW - Uncertainty

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Stabilizability of Linear Quadratic State Feedback for Uncertain Fuzzy Time-Delay Systems

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