LMI-based stability analysis of fuzzy model-based control systems using approximated polynomial membership functions

Mohammand Narimani, H. K. Lam

Research output: Chapter in Book/Report/Conference proceedingConference paper

Abstract

Relaxed LMI-based stability conditions for fuzzy model-based (FMB) control systems with imperfect premise matching are proposed. Information of membership functions containing relations between state variables and membership functions are taken into stability analysis. Firstly, based on the Lyapunov stability theorem, derivative of quadratic Lyapunov function containing product terms of fuzzy model and fuzzy controller's membership functions are derived. Then, the operating domain of membership functions is partitioned to sub-regions, such that each product term of fuzzy model and fuzzy controller membership functions is approximated properly with a polynomial of state variables. Next, in each sub-region LMI-based stability conditions containing the information of subsystems and approximated polynomials are derived. It is shown that the previous stability conditions can be as special cases of the proposed stability conditions. Finally, simulation example is given to illustrate the validity and effectiveness of the proposed approach.
Original languageEnglish
Title of host publication2010 IEEE International Conference on Fuzzy Systems (FUZZ)
Place of PublicationNEW YORK
PublisherIEEE
Pages2180 - 2187
Number of pages8
ISBN (Print)978-1-4244-6919-2
DOIs
Publication statusPublished - 2010
Event2010 IEEE International Conference on Fuzzy Systems -
Duration: 1 Jan 2010 → …

Publication series

NameIEEE International Conference on Fuzzy Systems. Proceedings
ISSN (Electronic)1098-7584

Conference

Conference2010 IEEE International Conference on Fuzzy Systems
Period1/01/2010 → …

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