Stability conditions for fuzzy control systems with fuzzy feedback gains

H. K. Lam; C. W. Yeung; Hung Fat Frank Leung

doi:10.1109/FUZZY.2007.4295609

Stability conditions for fuzzy control systems with fuzzy feedback gains

H. K. Lam, C. W. Yeung, Hung Fat Frank Leung

The Hong Kong Polytechnic University

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

1 Citation (Scopus)

Abstract

This paper presents the stability analysis of fuzzy-model-based control systems. A fuzzy controller with fuzzy feedback gains is proposed to control a nonlinear system represented by the T-S fuzzy model. The fuzzy feedback gains effectively enhance the nonlinearity of the fuzzy controller to strengthen the stabilization ability. To facilitate the stability analysis and reduce the computational demand, the fuzzy controller is separated from the fuzzy model by a particular system representation during analysis. Consequently, the number of stability conditions can be reduced to ease the finding of the solution. Two cases of fuzzy controller design, namely the fuzzy controller employs the same and different membership functions as those of the fuzzy plant model, are considered for various applications. Simulation examples are given to illustrate the merits of the proposed approach.

Original language	English
Title of host publication	2007 IEEE International Conference on Fuzzy Systems, FUZZY
DOIs	https://doi.org/10.1109/FUZZY.2007.4295609
Publication status	Published - 1 Dec 2007
Event	2007 IEEE International Conference on Fuzzy Systems, FUZZY - London, United Kingdom Duration: 23 Jul 2007 → 26 Jul 2007

Conference

Conference	2007 IEEE International Conference on Fuzzy Systems, FUZZY
Country/Territory	United Kingdom
City	London
Period	23/07/07 → 26/07/07

ASJC Scopus subject areas

Software
Safety, Risk, Reliability and Quality
Chemical Health and Safety

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10.1109/FUZZY.2007.4295609

http://hdl.handle.net/10397/1383

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title = "Stability conditions for fuzzy control systems with fuzzy feedback gains",

abstract = "This paper presents the stability analysis of fuzzy-model-based control systems. A fuzzy controller with fuzzy feedback gains is proposed to control a nonlinear system represented by the T-S fuzzy model. The fuzzy feedback gains effectively enhance the nonlinearity of the fuzzy controller to strengthen the stabilization ability. To facilitate the stability analysis and reduce the computational demand, the fuzzy controller is separated from the fuzzy model by a particular system representation during analysis. Consequently, the number of stability conditions can be reduced to ease the finding of the solution. Two cases of fuzzy controller design, namely the fuzzy controller employs the same and different membership functions as those of the fuzzy plant model, are considered for various applications. Simulation examples are given to illustrate the merits of the proposed approach.",

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AU - Yeung, C. W.

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N2 - This paper presents the stability analysis of fuzzy-model-based control systems. A fuzzy controller with fuzzy feedback gains is proposed to control a nonlinear system represented by the T-S fuzzy model. The fuzzy feedback gains effectively enhance the nonlinearity of the fuzzy controller to strengthen the stabilization ability. To facilitate the stability analysis and reduce the computational demand, the fuzzy controller is separated from the fuzzy model by a particular system representation during analysis. Consequently, the number of stability conditions can be reduced to ease the finding of the solution. Two cases of fuzzy controller design, namely the fuzzy controller employs the same and different membership functions as those of the fuzzy plant model, are considered for various applications. Simulation examples are given to illustrate the merits of the proposed approach.

AB - This paper presents the stability analysis of fuzzy-model-based control systems. A fuzzy controller with fuzzy feedback gains is proposed to control a nonlinear system represented by the T-S fuzzy model. The fuzzy feedback gains effectively enhance the nonlinearity of the fuzzy controller to strengthen the stabilization ability. To facilitate the stability analysis and reduce the computational demand, the fuzzy controller is separated from the fuzzy model by a particular system representation during analysis. Consequently, the number of stability conditions can be reduced to ease the finding of the solution. Two cases of fuzzy controller design, namely the fuzzy controller employs the same and different membership functions as those of the fuzzy plant model, are considered for various applications. Simulation examples are given to illustrate the merits of the proposed approach.

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M3 - Conference article published in proceeding or book

SN - 1424412102

SN - 9781424412105

BT - 2007 IEEE International Conference on Fuzzy Systems, FUZZY

T2 - 2007 IEEE International Conference on Fuzzy Systems, FUZZY

Y2 - 23 July 2007 through 26 July 2007

ER -

Stability conditions for fuzzy control systems with fuzzy feedback gains

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