Generalized nonquadratic stability of continuous-time Takagi-Sugeno models

Authors:
Miguel Bernal;Thierry Marie Guerra
Affiliations:
Centro Universitario de los Valles, University of Guadalajara, Guadalajara, Mexico;Univ. of Lille Nord de France, Lille, France and with the Lab. d'Automatique, de Mécanique et d'Inf. Industnelles et Humaines, Univ. de Valenciennes et du Hainaut-Cambnrésis, Centre Nati ...
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2010

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Abstract

This paper provides generalized nonquadratic stability conditions for continuous-time nonlinear models in the Takagi-Sugeno (TS) form obtained by sector-nonlinearity approach. Should global quadratic stability fail for a given nonlinear model, the proposed approach allows the obtaining of progressively better estimations of the stability domain via local asymptotic conditions in the form of linear-matrix inequalities (LMIs), which are efficiently solved by convex optimization techniques. Illustrative examples are presented to emphasize the broadening capabilities of the new stability analysis.