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Stability analysis and stabilization of systems presenting nested saturations

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Stability analysis and stabilization of systems presenting nested saturations

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Título Stability analysis and stabilization of systems presenting nested saturations
Autor Tarbouriech, Sophie
Silva Junior, Joao Manoel Gomes da
Prieur, Christophe
Abstract This note addresses the problems of stability analysis and stabilization of systems presenting nested saturations. Depending on the open-loop stability assumption, the global stability analysis and stabilization problems are considered. In the (local) analysis problem, the objective is the determination of estimates of the basin of attraction of the system. Considering the stabilization problem, the goal is to design a set of gains in order to enlarge the basin of attraction of the closed-loop system. Based on the modelling of the system presenting nested saturations as a linear system with dead-zone nested nonlinearities and the use of a generalized sector condition, linear matrix inequality (LMI) stability conditions are formulated. From these conditions, convex optimization strategies are proposed to solve both problems.
Contido em IEEE transactions on automatic control. New York, NY. Vol. 51, no. 8 (Aug. 2006), p. 1364-1371
Assunto Controle automático : Estabilidade
Sistemas lineares : Estabilidade
[en] Linear matrix inequality (LMI)
[en] Nested saturations
[en] Stability regions
[en] Stabilization
Origem Estrangeiro
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/27582
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