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Type: Artigo de periódico
Title: Robust absolute stability and nonlinear state feedback stabilization based on polynomial Lur'e functions
Author: Montagner, VF
Oliveira, RCLF
Calliero, TR
Borges, RA
Peres, PLD
Prieur, C
Abstract: This paper provides finite-dimensional convex conditions to construct homogeneous polynormally parameter-dependent Lur'e functions which ensure the stability of nonlinear systems with state-dependent nonlinearities lying in general sectors and which are affected by uncertain parameters belonging to the unit simplex. The proposed conditions are written as linear matrix inequalities parametrized in terms of the degree g of the parameter-dependent solution and in terms of the relaxation level d of the inequality constraints, based on the algebraic properties of positive matrix polynomials with parameters in the unit simplex. As g and d increase, progressively less conservative solutions are obtained. The results in the paper include as special cases existing conditions for robust stability and for absolute stability analysis. A convex solution suitable for the design of robust nonlinear state feedback stabilizing controllers is also provided. Numerical examples illustrate the efficiency of the proposed conditions. (C) 2008 Elsevier Ltd. All rights reserved.
Country: Inglaterra
Editor: Pergamon-elsevier Science Ltd
Rights: fechado
Identifier DOI: 10.1016/
Date Issue: 2009
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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