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Type: Artigo de periódico
Title: Stability analysis and gain-scheduled state feedback control for continuous-time systems with bounded parameter variations
Author: Montagner, VF
Oliveira, RCLF
Peres, PLD
Bliman, PA
Abstract: The problems of robust stability analysis and state feedback control based on gain-scheduling for continuous-time systems with time-varying parameters that have bounded rates of variation and lie inside a polytope are addressed in this article. With respect to previous results in the literature, two main contributions of the article are: (i) the robust stability analysis conditions are less conservative and demand less computational effort than the existing ones; (ii) the conditions can be extended to cope with the problem of control design for this class of system. Parameter-dependent linear matrix inequality (LMI) conditions are given for the existence of a parameter-dependent Lyapunov function quadratic in the state and homogeneous polynomially of arbitrary degree in the parameter assuring robust stability. Two convex procedures based on LMIs exhibiting distinct complexities are proposed to solve the problem of robust stability. An extension to deal with the computation of a stabilising parameter-dependent state feedback gain for this class of time-varying systems is also provided, as a sequence of LMIs of increasing precision. Examples illustrate the results, including comparisons with other techniques from the literature.
Subject: LPV systems
robust stability
continuous-time systems
Country: Inglaterra
Editor: Taylor & Francis Ltd
Citation: International Journal Of Control. Taylor & Francis Ltd, v. 82, n. 6, n. 1045, n. 1059, 2009.
Rights: fechado
Identifier DOI: 10.1080/00207170802403750
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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