Quadratic stability analysis of the Takagi-Sugeno fuzzy model

Kiriakos Kiriakidis, Apostolos Grivas, Antonios Tzes

Research output: Contribution to journalArticle

Abstract

The nonlinear dynamic Takagi-Sugeno fuzzy model with offset terms is analyzed as a perturbed linear system. A sufficient criterion for the robust stability of this nominal system against nonlinear perturbations guarantees quadratic stability of the fuzzy model. The criterion accepts a convex programming formulation of reduced computational cost compared to the common Lyapunov matrix approach. Parametric robust control techniques suggest synthesis tools for stabilization of the fuzzy system. Application examples on fuzzy models of nonlinear plants advocate the efficiency of the method. The examples demonstrate reduced conservatism compared to norm-based criteria.

Original languageEnglish (US)
Pages (from-to)1-14
Number of pages14
JournalFuzzy Sets and Systems
Volume98
Issue number1
DOIs
StatePublished - Jan 1 1998

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Quadratic Stability
Takagi-Sugeno Fuzzy Model
Stability Analysis
Fuzzy Model
Nonlinear Perturbations
Convex optimization
Convex Programming
Perturbed System
Fuzzy systems
Robust Stability
Robust control
Robust Control
Fuzzy Systems
Lyapunov
Nonlinear Dynamics
Categorical or nominal
Linear systems
Computational Cost
Nonlinear systems
Stabilization

Keywords

  • Control theory
  • Fuzzy model
  • Fuzzy model-based control
  • Perturbed system
  • Quadratic stability

ASJC Scopus subject areas

  • Logic
  • Artificial Intelligence

Cite this

Quadratic stability analysis of the Takagi-Sugeno fuzzy model. / Kiriakidis, Kiriakos; Grivas, Apostolos; Tzes, Antonios.

In: Fuzzy Sets and Systems, Vol. 98, No. 1, 01.01.1998, p. 1-14.

Research output: Contribution to journalArticle

Kiriakidis, Kiriakos ; Grivas, Apostolos ; Tzes, Antonios. / Quadratic stability analysis of the Takagi-Sugeno fuzzy model. In: Fuzzy Sets and Systems. 1998 ; Vol. 98, No. 1. pp. 1-14.
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