Design of stable and robust fuzzy controller for uncertain nonlinear systems: Lyapunov's function approach

H. K. Lam; Hung Fat Frank Leung; P. K S Tam

Design of stable and robust fuzzy controller for uncertain nonlinear systems: Lyapunov's function approach

H. K. Lam
, Hung Fat Frank Leung
, P. K S Tam

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 analysis of stability and robustness of an uncertain nonlinear fuzzy system. To proceed with the analysis, the uncertain nonlinear plant is represented by a fuzzy model that includes parameter uncertainty information. Then, three design approaches will be introduced to close the feedback loop. By using the Lyapunov's stability theory, the closed-loop uncertain fuzzy control system is shown to be stable if there exists a positive definite solution for an Algebraic Riccati Equation (ARE) derived. An example on stabilizing an uncertain nonlinear mass-spring-damper system is given to illustrate the stabilizability and robustness properties of the proposed fuzzy controller.

Original language	English
Title of host publication	IECON Proceedings (Industrial Electronics Conference)
Publisher	IEEE Comp Soc
Pages	1046-1051
Number of pages	6
Publication status	Published - 1 Dec 1997
Event	Proceedings of the 1997 23rd Annual International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 2 (of 4) - New Orleans, LA, United States Duration: 9 Nov 1997 → 14 Nov 1997

Conference

Conference	Proceedings of the 1997 23rd Annual International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 2 (of 4)
Country/Territory	United States
City	New Orleans, LA
Period	9/11/97 → 14/11/97

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

@inproceedings{951c643e7ad148aa966a33ab4e014edb,

title = "Design of stable and robust fuzzy controller for uncertain nonlinear systems: Lyapunov's function approach",

abstract = "This paper presents the analysis of stability and robustness of an uncertain nonlinear fuzzy system. To proceed with the analysis, the uncertain nonlinear plant is represented by a fuzzy model that includes parameter uncertainty information. Then, three design approaches will be introduced to close the feedback loop. By using the Lyapunov's stability theory, the closed-loop uncertain fuzzy control system is shown to be stable if there exists a positive definite solution for an Algebraic Riccati Equation (ARE) derived. An example on stabilizing an uncertain nonlinear mass-spring-damper system is given to illustrate the stabilizability and robustness properties of the proposed fuzzy controller.",

author = "Lam, \{H. K.\} and Leung, \{Hung Fat Frank\} and Tam, \{P. K S\}",

year = "1997",

month = dec,

day = "1",

language = "English",

pages = "1046--1051",

booktitle = "IECON Proceedings (Industrial Electronics Conference)",

publisher = "IEEE Comp Soc",

note = "Proceedings of the 1997 23rd Annual International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 2 (of 4) ; Conference date: 09-11-1997 Through 14-11-1997",

}

Lam, HK, Leung, HFF & Tam, PKS 1997, Design of stable and robust fuzzy controller for uncertain nonlinear systems: Lyapunov's function approach. in IECON Proceedings (Industrial Electronics Conference). IEEE Comp Soc, pp. 1046-1051, Proceedings of the 1997 23rd Annual International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 2 (of 4), New Orleans, LA, United States, 9/11/97.

Design of stable and robust fuzzy controller for uncertain nonlinear systems: Lyapunov's function approach. / Lam, H. K.; Leung, Hung Fat Frank; Tam, P. K S.
IECON Proceedings (Industrial Electronics Conference). IEEE Comp Soc, 1997. p. 1046-1051.

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

TY - GEN

T1 - Design of stable and robust fuzzy controller for uncertain nonlinear systems: Lyapunov's function approach

AU - Lam, H. K.

AU - Leung, Hung Fat Frank

AU - Tam, P. K S

PY - 1997/12/1

Y1 - 1997/12/1

N2 - This paper presents the analysis of stability and robustness of an uncertain nonlinear fuzzy system. To proceed with the analysis, the uncertain nonlinear plant is represented by a fuzzy model that includes parameter uncertainty information. Then, three design approaches will be introduced to close the feedback loop. By using the Lyapunov's stability theory, the closed-loop uncertain fuzzy control system is shown to be stable if there exists a positive definite solution for an Algebraic Riccati Equation (ARE) derived. An example on stabilizing an uncertain nonlinear mass-spring-damper system is given to illustrate the stabilizability and robustness properties of the proposed fuzzy controller.

AB - This paper presents the analysis of stability and robustness of an uncertain nonlinear fuzzy system. To proceed with the analysis, the uncertain nonlinear plant is represented by a fuzzy model that includes parameter uncertainty information. Then, three design approaches will be introduced to close the feedback loop. By using the Lyapunov's stability theory, the closed-loop uncertain fuzzy control system is shown to be stable if there exists a positive definite solution for an Algebraic Riccati Equation (ARE) derived. An example on stabilizing an uncertain nonlinear mass-spring-damper system is given to illustrate the stabilizability and robustness properties of the proposed fuzzy controller.

UR - https://www.scopus.com/pages/publications/0031360447

M3 - Conference article published in proceeding or book

SP - 1046

EP - 1051

BT - IECON Proceedings (Industrial Electronics Conference)

PB - IEEE Comp Soc

T2 - Proceedings of the 1997 23rd Annual International Conference on Industrial Electronics, Control, and Instrumentation, IECON. Part 2 (of 4)

Y2 - 9 November 1997 through 14 November 1997

ER -

Design of stable and robust fuzzy controller for uncertain nonlinear systems: Lyapunov's function approach

Abstract

Conference

ASJC Scopus subject areas

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