Relaxed LMI-based stability conditions for fuzzy-model-based control systems under imperfect premise matching: Approximated membership function approach

Yanbin Zhao, Bo Xiao, Chuang Liu, Hongyi Li, H. K. Lam

Research output: Chapter in Book or Report/Conference proceedingConference Proceedingpeer-review

7 Citations (Scopus)

Abstract

This paper investigates the stability of the fuzzy-model-based control systems under imperfect premise matching that both fuzzy model and fuzzy controller are not required to share the same number of fuzzy rules and the same set of premise membership functions. Under the case of imperfect premise matching, it allows a greater design flexibility for fuzzy controller and is able to lower the implementation complexity when a less number of fuzzy rules and/or some simple membership functions are employed. However, due to the mismatch of the number of fuzzy rules and/or the membership functions, the existing analysis techniques with the parallel distributed compensation (PDC) cannot be applied to deal with the cross term of the membership functions and thus it leads to comparatively conservative stability conditions. In order to relax the stability conditions, we approximate the multiplication of the membership functions and the approximated membership functions exhibit some nice properties in favour of the stability analysis. Through the approximated membership functions, the information of the original membership functions is brought to the stability conditions. As a result, the proposed stability conditions are applied to a specified nonlinear plant characterized by the approximated membership functions rather than a family. A simulation example is given to demonstrate the effectiveness of the proposed approach.

Original languageEnglish
Title of host publicationProceeding of the 11th World Congress on Intelligent Control and Automation, WCICA 2014
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages251-256
Number of pages6
EditionMarch
ISBN (Electronic)9781479958252
DOIs
Publication statusPublished - 2 Mar 2015
Externally publishedYes
Event2014 11th World Congress on Intelligent Control and Automation, WCICA 2014 - Shenyang, China
Duration: 29 Jun 20144 Jul 2014

Publication series

NameProceedings of the World Congress on Intelligent Control and Automation (WCICA)
NumberMarch
Volume2015-March

Conference

Conference2014 11th World Congress on Intelligent Control and Automation, WCICA 2014
Country/TerritoryChina
CityShenyang
Period29/06/144/07/14

Keywords

  • Fuzzy-model-based control
  • Imperfect premise matching
  • LMI-based stability analysis

Fingerprint

Dive into the research topics of 'Relaxed LMI-based stability conditions for fuzzy-model-based control systems under imperfect premise matching: Approximated membership function approach'. Together they form a unique fingerprint.

Cite this