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Article Dans Une Revue Fuzzy Sets and Systems Année : 2009

A membership-function-dependent approach for stability analysis and controller synthesis of Takagi-Sugeno models

Résumé

This paper presents a new approach for stability analysis and controller design of Takagi–Sugeno (TS) models. The analysis considers information derived from existing or induced order relations among the membership functions. Partitioning of the state-space and the use of piecewise Lyapunov functions (PWLF) arise naturally as a consequence of induced order relations. Conditions under the novel approach can be expressed as linear matrix inequalities (LMIs) facilitating the inclusion of performance design. Examples are provided to show the advantages over the classical quadratic approach.

Domaines

Automatique

Dates et versions

hal-00519421 , version 1 (20-09-2010)

Identifiants

Citer

Miguel Bernal, Thierry-Marie Guerra, Alexandre Kruszewski. A membership-function-dependent approach for stability analysis and controller synthesis of Takagi-Sugeno models. Fuzzy Sets and Systems, 2009, 160 (19), pp.2776-2795. ⟨10.1016/j.fss.2009.02.005⟩. ⟨hal-00519421⟩
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