Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/94360
Type: Artigo de evento
Title: Piecewise-affine Lyapunov Functions For Continuous-time Linear Systems With Saturating Controls
Author: Milani B.E.A.
Abstract: This paper is concerned with piecewise-affine functions as Lyapunov function candidates for stability analysis of time-invariant continuous-time linear systems with saturating closed-loop control inputs. Using a piecewise-affine model of the closed-loop system, new necessary and sufficient conditions for a piecewise-affine function be a Lyapunov function are presented. Based on linear programming formulation of these conditions, an effective backward set simulation procedure is proposed for construction of such Lyapunov functions for estimation of the region of local asymptotic stability. Compared to quadratic functions, piecewise-affine functions showed to be more adequate to capture the dynamical effects of saturation nonlinearities, giving strictly less conservative results.
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Rights: fechado
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Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-8744242907&partnerID=40&md5=0059db52910e64afc71e6b19adcc50ff
Date Issue: 2004
Appears in Collections:Unicamp - Artigos e Outros Documentos

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