Robust H∞ fuzzy control for a class of uncertain discrete fuzzy bilinear systems

Tzuu Hseng S. Li; Shun Hung Tsai; Jia Zhen Lee; Ming Ying Hsiao; Chan Hong Chao

doi:10.1109/TSMCB.2007.914706

Robust H_∞ fuzzy control for a class of uncertain discrete fuzzy bilinear systems

Tzuu Hseng S. Li, Shun Hung Tsai, Jia Zhen Lee, Ming Ying Hsiao, Chan Hong Chao

Department of Electrical Engineering

Research output: Contribution to journal › Article › peer-review

95 Citations (Scopus)

Abstract

The main theme of this paper is to present robust fuzzy controllers for a class of discrete fuzzy bilinear systems. First, the parallel distributed compensation method is utilized to design a fuzzy controller, which ensures the robust asymptotic stability of the closed-loop system and guarantees an H_∞ norm-bound constraint on disturbance attenuation for all admissible uncertainties. Second, based on the Schur complement and some variable transformations, the stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities. Finally, the validity and applicability of the proposed schemes are demonstrated by a numerical simulation and the Van de Vusse example.

Original language	English
Pages (from-to)	510-527
Number of pages	18
Journal	IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Volume	38
Issue number	2
DOIs	https://doi.org/10.1109/TSMCB.2007.914706
Publication status	Published - 2008 Apr

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Software
Information Systems
Human-Computer Interaction
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TSMCB.2007.914706

Cite this

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title = "Robust H∞ fuzzy control for a class of uncertain discrete fuzzy bilinear systems",

abstract = "The main theme of this paper is to present robust fuzzy controllers for a class of discrete fuzzy bilinear systems. First, the parallel distributed compensation method is utilized to design a fuzzy controller, which ensures the robust asymptotic stability of the closed-loop system and guarantees an H∞ norm-bound constraint on disturbance attenuation for all admissible uncertainties. Second, based on the Schur complement and some variable transformations, the stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities. Finally, the validity and applicability of the proposed schemes are demonstrated by a numerical simulation and the Van de Vusse example.",

author = "Li, {Tzuu Hseng S.} and Tsai, {Shun Hung} and Lee, {Jia Zhen} and Hsiao, {Ming Ying} and Chao, {Chan Hong}",

note = "Funding Information: Manuscript received May 20, 2006; revised May 19, 2007. This work was supported by the National Science Council, Taipei, Taiwan, R.O.C., under Grant NSC95-2221-E-006-382-MY3. This paper was recommended by Associate Editor F. Karray.",

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AU - Chao, Chan Hong

N1 - Funding Information: Manuscript received May 20, 2006; revised May 19, 2007. This work was supported by the National Science Council, Taipei, Taiwan, R.O.C., under Grant NSC95-2221-E-006-382-MY3. This paper was recommended by Associate Editor F. Karray.

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AB - The main theme of this paper is to present robust fuzzy controllers for a class of discrete fuzzy bilinear systems. First, the parallel distributed compensation method is utilized to design a fuzzy controller, which ensures the robust asymptotic stability of the closed-loop system and guarantees an H∞ norm-bound constraint on disturbance attenuation for all admissible uncertainties. Second, based on the Schur complement and some variable transformations, the stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities. Finally, the validity and applicability of the proposed schemes are demonstrated by a numerical simulation and the Van de Vusse example.

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Robust H_∞ fuzzy control for a class of uncertain discrete fuzzy bilinear systems

Abstract

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