Dissipative control for singularly perturbed fuzzy systems

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Abstract

Dissipative stabilizing state feedback controllers are investigated for singularly perturbed fuzzy systems. We derive sufficient conditions for the existence of $(Q,S,R)$-dissipative controllers for a class of nonlinear systems represented by T-S fuzzy model. Based on Lyapunov theory, the main results are cast in LMI formulation solvable by existing LMI solvers. We demonstrate that many existing technical papers are a specialized case of the general quadratic dissipative control problem involving singularly perturbed fuzzy systems. Finally the utility of the proposed method is illuminated by an example.

Original languageEnglish
Title of host publicationProceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
Edition1 PART 1
DOIs
StatePublished - 2008
Event17th World Congress, International Federation of Automatic Control, IFAC - Seoul, Korea, Republic of
Duration: 6 Jul 200811 Jul 2008

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume17
ISSN (Print)1474-6670

Conference

Conference17th World Congress, International Federation of Automatic Control, IFAC
Country/TerritoryKorea, Republic of
CitySeoul
Period6/07/0811/07/08

Keywords

  • Gain scheduling
  • Linear parametrically varying (LPV) methodologies
  • Nonlinear systems

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