On design of stable and robust fuzzy observer-controller for uncertain nonlinear systems based on a grid-point approach

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

On design of stable and robust fuzzy observer-controller for uncertain nonlinear systems based on a grid-point 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

2 Citations (Scopus)

Abstract

This paper presents the stability and robustness analyses, and design of fuzzy observer-controllers for uncertain multivariable nonlinear systems of which the system states are inaccessible. To proceed with the analysis, the uncertain system is represented by a fuzzy model with uncertain parameters. Based on this model, under a single-grid-point (SGP) approach, a fuzzy observer-controller is designed to estimate the system states and to close the feedback loop. A simple stability criterion is derived by estimating some norms of the system parameters and the matrix measure, and a robust area in the uncertain parameter space is defined. The design methodology of a multiple-grid-point (MGP) fuzzy observer-controller for nonlinear systems subjected to large parameter uncertainties is developed based on the analysis results of the SGP approach.

Original language	English
Title of host publication	IEEE International Symposium on Industrial Electronics
Publisher	IEEE
Pages	998-1005
Number of pages	8
Publication status	Published - 1 Dec 1997
Event	Proceedings of the 1997 IEEE International Symposium on Industrial Electronics, ISIE. Part 3 (of 3) - Guimaraes, Portugal Duration: 7 Jul 1997 → 11 Jul 1997

Conference

Conference	Proceedings of the 1997 IEEE International Symposium on Industrial Electronics, ISIE. Part 3 (of 3)
Country/Territory	Portugal
City	Guimaraes
Period	7/07/97 → 11/07/97

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

@inproceedings{cf27815b9f434cf3922fe824a60ced31,

title = "On design of stable and robust fuzzy observer-controller for uncertain nonlinear systems based on a grid-point approach",

abstract = "This paper presents the stability and robustness analyses, and design of fuzzy observer-controllers for uncertain multivariable nonlinear systems of which the system states are inaccessible. To proceed with the analysis, the uncertain system is represented by a fuzzy model with uncertain parameters. Based on this model, under a single-grid-point (SGP) approach, a fuzzy observer-controller is designed to estimate the system states and to close the feedback loop. A simple stability criterion is derived by estimating some norms of the system parameters and the matrix measure, and a robust area in the uncertain parameter space is defined. The design methodology of a multiple-grid-point (MGP) fuzzy observer-controller for nonlinear systems subjected to large parameter uncertainties is developed based on the analysis results of the SGP approach.",

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

year = "1997",

month = dec,

day = "1",

language = "English",

pages = "998--1005",

booktitle = "IEEE International Symposium on Industrial Electronics",

publisher = "IEEE",

address = "United States",

note = "Proceedings of the 1997 IEEE International Symposium on Industrial Electronics, ISIE. Part 3 (of 3) ; Conference date: 07-07-1997 Through 11-07-1997",

}

On design of stable and robust fuzzy observer-controller for uncertain nonlinear systems based on a grid-point approach. / Lam, H. K.; Leung, Hung Fat Frank; Tam, P. K S.
IEEE International Symposium on Industrial Electronics. IEEE, 1997. p. 998-1005.

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

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T1 - On design of stable and robust fuzzy observer-controller for uncertain nonlinear systems based on a grid-point 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 stability and robustness analyses, and design of fuzzy observer-controllers for uncertain multivariable nonlinear systems of which the system states are inaccessible. To proceed with the analysis, the uncertain system is represented by a fuzzy model with uncertain parameters. Based on this model, under a single-grid-point (SGP) approach, a fuzzy observer-controller is designed to estimate the system states and to close the feedback loop. A simple stability criterion is derived by estimating some norms of the system parameters and the matrix measure, and a robust area in the uncertain parameter space is defined. The design methodology of a multiple-grid-point (MGP) fuzzy observer-controller for nonlinear systems subjected to large parameter uncertainties is developed based on the analysis results of the SGP approach.

AB - This paper presents the stability and robustness analyses, and design of fuzzy observer-controllers for uncertain multivariable nonlinear systems of which the system states are inaccessible. To proceed with the analysis, the uncertain system is represented by a fuzzy model with uncertain parameters. Based on this model, under a single-grid-point (SGP) approach, a fuzzy observer-controller is designed to estimate the system states and to close the feedback loop. A simple stability criterion is derived by estimating some norms of the system parameters and the matrix measure, and a robust area in the uncertain parameter space is defined. The design methodology of a multiple-grid-point (MGP) fuzzy observer-controller for nonlinear systems subjected to large parameter uncertainties is developed based on the analysis results of the SGP approach.

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M3 - Conference article published in proceeding or book

SP - 998

EP - 1005

BT - IEEE International Symposium on Industrial Electronics

PB - IEEE

T2 - Proceedings of the 1997 IEEE International Symposium on Industrial Electronics, ISIE. Part 3 (of 3)

Y2 - 7 July 1997 through 11 July 1997

ER -

On design of stable and robust fuzzy observer-controller for uncertain nonlinear systems based on a grid-point approach

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ASJC Scopus subject areas

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