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Type: Artigo de periódico
Title: Selective H-2 and H-infinity Stabilization of Takagi-Sugeno Fuzzy Systems
Author: Tognetti, ES
Oliveira, RCLF
Peres, PLD
Abstract: This paper presents new results concerning the stability analysis and design of state-feedback controllers for continuous-time Takagi-Sugeno (T-S) fuzzy systems via fuzzy Lyapunov functions. The membership functions of the T-S fuzzy systems are modeled in a space that is defined by the Cartesian product of simplexes called a multisimplex. If the time derivatives of the membership functions are bounded, the bounds are used to construct a polytope that models the space of the time derivatives of the membership functions. Linear matrix inequality (LMI) relaxations that are based on polynomial matrices are provided for stability analysis and controller design. Extensions for the design of control laws that minimize upper bounds to H-2 and H-infinity norms are also given. The main novelty of this method is that it allows one to synthesize control gains, which depends only on some premise variables that are selected by the designer. Numerical experiments illustrate the flexibility and advantages of the proposed method.
Subject: Continuous-time systems
H-2 and H-infinity controls
linear matrix inequality (LMI) relaxations
nonquadratic stabilizability
Takagi-Sugeno (T-S) fuzzy systems
Country: EUA
Editor: Ieee-inst Electrical Electronics Engineers Inc
Rights: fechado
Identifier DOI: 10.1109/TFUZZ.2011.2150229
Date Issue: 2011
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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