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Stability analysis for a type of T-S fuzzy control systems using integral quadratic constraints

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Abstract

Recently, the well-known circle criterion and Popov criterion are introduced to investigate the stability of a type of T-S fuzzy control systems. Although both the two corresponding stability conditions have elegant graphical interpretations, the relation of them is not well studied. In this paper, we try to explain the two conditions by a new unified stability condition, which is based on the integral quadratic constrains (IQCs). In addition, the proposed method is less conservative than the circle criterion and Popov criterion based methods. A numerical example is given to demonstrate how to use this criterion in analyzing the T-S fuzzy control systems.

Original languageEnglish
Title of host publicationProceedings - 2012 9th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2012
Pages376-380
Number of pages5
DOIs
StatePublished - 2012
Event2012 9th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2012 - Chongqing, China
Duration: 29 May 201231 May 2012

Publication series

NameProceedings - 2012 9th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2012

Conference

Conference2012 9th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2012
Country/TerritoryChina
CityChongqing
Period29/05/1231/05/12

Keywords

  • Popov criterion
  • Takagi-Sugeno (T-S) fuzzy control system
  • circle criterion
  • integral quadratic constraints
  • stability analysis

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