Stable and robust fuzzy control for uncertain nonlinear systems based on a grid-point approach

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

Stable and robust fuzzy control 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

14 Citations (Scopus)

Abstract

This paper presents the stability and robustness analyses of uncertain nonlinear control systems. To proceed with the analysis, the uncertain nonlinear system is represented by a fuzzy model with uncertainties. Based on this model, under a single-grid-point (SGP) approach, a fuzzy controller is designed to close the feedback loop. A simple stability criterion is derived by estimating the norm 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 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 Conference on Fuzzy Systems
Publisher	IEEE
Pages	87-92
Number of pages	6
Publication status	Published - 1 Jan 1997
Event	Proceedings of the 1997 6th IEEE International Conference on Fussy Systems, FUZZ-IEEE'97. Part 1 (of 3) - Barcelona, Spain Duration: 1 Jul 1997 → 5 Jul 1997

Conference

Conference	Proceedings of the 1997 6th IEEE International Conference on Fussy Systems, FUZZ-IEEE'97. Part 1 (of 3)
Country/Territory	Spain
City	Barcelona
Period	1/07/97 → 5/07/97

ASJC Scopus subject areas

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

More information

http://hdl.handle.net/10397/1381

Cite this

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title = "Stable and robust fuzzy control for uncertain nonlinear systems based on a grid-point approach",

abstract = "This paper presents the stability and robustness analyses of uncertain nonlinear control systems. To proceed with the analysis, the uncertain nonlinear system is represented by a fuzzy model with uncertainties. Based on this model, under a single-grid-point (SGP) approach, a fuzzy controller is designed to close the feedback loop. A simple stability criterion is derived by estimating the norm 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 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\}",

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AU - Lam, H. K.

AU - Leung, Hung Fat Frank

AU - Tam, P. K S

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Y1 - 1997/1/1

N2 - This paper presents the stability and robustness analyses of uncertain nonlinear control systems. To proceed with the analysis, the uncertain nonlinear system is represented by a fuzzy model with uncertainties. Based on this model, under a single-grid-point (SGP) approach, a fuzzy controller is designed to close the feedback loop. A simple stability criterion is derived by estimating the norm 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 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 of uncertain nonlinear control systems. To proceed with the analysis, the uncertain nonlinear system is represented by a fuzzy model with uncertainties. Based on this model, under a single-grid-point (SGP) approach, a fuzzy controller is designed to close the feedback loop. A simple stability criterion is derived by estimating the norm 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 controller for nonlinear systems subjected to large parameter uncertainties is developed based on the analysis results of the SGP approach.

UR - https://www.scopus.com/pages/publications/0030711290

M3 - Conference article published in proceeding or book

SP - 87

EP - 92

BT - IEEE International Conference on Fuzzy Systems

PB - IEEE

T2 - Proceedings of the 1997 6th IEEE International Conference on Fussy Systems, FUZZ-IEEE'97. Part 1 (of 3)

Y2 - 1 July 1997 through 5 July 1997

ER -

Stable and robust fuzzy control for uncertain nonlinear systems based on a grid-point approach

Abstract

Conference

ASJC Scopus subject areas

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