Sum-of-Squares-Based Stability Analysis of Polynomial Fuzzy-Model-Based Control Systems

H. K. Lam, Mohammad Narimani

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

21 Citations (Scopus)

Abstract

This paper presents the stability analysis of polynomial fuzzy-model-based control systems, formed by a polynomial fuzzy model and a fuzzy controller connected in a closed loop, using sum-of-squares (SOS) approach. Based on the Lyapunov stability theory, the stability analysis is generalized by bringing the membership functions as polynomial variables to the stability analysis for relaxation of SOS-based stability conditions. For further relaxation of the stability analysis result, the information of membership function boundary and operating domain information is considered. It can be shown that the existing SOS and linear-matrix-inequality (LMI)-based stability conditions are a particular case of the proposed SOS-based stability conditions. Simulation examples are given to verify the stability analysis results and demonstrate the effectiveness of the proposed approach.
Original languageEnglish
Title of host publicationUnknown
Place of PublicationNEW YORK
PublisherIEEE
Pages234 - 239
Number of pages6
ISBN (Print)978-1-4244-3596-8
Publication statusPublished - 2009
Event18th IEEE International Conference on Fuzzy Systems - Jeju Isl, SOUTH KOREA
Duration: 20 Aug 200924 Aug 2009

Publication series

Name2009 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3

Conference

Conference18th IEEE International Conference on Fuzzy Systems
CityJeju Isl, SOUTH KOREA
Period20/08/200924/08/2009

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