Relaxed LMI-based stability conditions for Takagi-Sugeno fuzzy control systems using regional membership-function-shape-dependent analysis approach

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

3 Citations (Scopus)

Abstract

This paper presents relaxed stability conditions for Takagi-Sugeno fuzzy-model-based (FMB) control systems. Similar to many previous approaches, stability conditions are represented in the form of multi-dimensional fuzzy summation. To investigate the system stability, the inequalities of p-dimensional fuzzy summation are expanded to n-dimensional fuzzy summation (n >= p). Then the boundary and regional information of membership functions are utilized for relaxation of stability analysis results. In the first step the lower and upper bounds of the membership functions and its products from 2 to n in the full operating domain are considered in the stability analysis. This approach is named Global-Membership-Function-Shape-Dependent (GMFSD). The second approach is named Regional-Membership-Function-Shape-Dependent (RMFSD) of which the operating region is partitioned to sub-regions and the boundary information of membership functions on each operating sub-region is employed to facilitate the stability analysis for further relaxation of stability conditions. Numerical example is given to demonstrate the effectiveness of the proposed stability conditions.
Original languageEnglish
Title of host publicationProceedings of 2009 IEEE International Conference on Fuzzy Systems
Place of PublicationNEW YORK
PublisherIEEE
Pages191 - 196
Number of pages6
ISBN (Electronic)978-1-4244-3597-5
ISBN (Print)978-1-4244-3596-8
DOIs
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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