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

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3 Author(s)
H. K. Lam ; Hong Kong Polytech. Univ., Kowloon, Hong Kong ; F. H. F. Leung ; P. K. S. Tam

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

Published in:

Fuzzy Systems, 1997., Proceedings of the Sixth IEEE International Conference on  (Volume:1 )

Date of Conference:

1-5 Jul 1997