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Title: Stable and robust fuzzy control for uncertain nonlinear systems based on a grid-point approach
Authors: Lam, HK
Leung, FHF 
Tam, PKS
Issue Date: 1997
Source: Proceedings of the sixth IEEE International Conference on Fuzzy Systems : Barcelona, Spain, July 1-5, 1997, p. 87-92
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.
Keywords: Closed loop control systems
Control system analysis
Mathematical models
Matrix algebra
Nonlinear control systems
Parameter estimation
Robustness (control systems)
System stability
Publisher: IEEE
ISBN: 0-7803-3796-4
Rights: © 1997 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
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