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Quadratic stability analysis of the Takagi-Sugeno fuzzy model

✍ Scribed by Kiriakos Kiriakidis; Apostolos Grivas; Anthony Tzes

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
678 KB
Volume
98
Category
Article
ISSN
0165-0114

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✦ Synopsis

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. (~) 1998 Elsevier Science B.V. All rights reserved.

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