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Guaranteed cost control for a class of switched systems via multiple Lyapunov function method

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Indexed by:期刊论文

Date of Publication:2012-02-01

Journal:ICIC Express Letters, Part B: Applications

Included Journals:EI、Scopus

Volume:3

Issue:1

Page Number:153-158

ISSN No.:21852766

Abstract:This paper deals with the problem of guaranteed cost control for a class of switched systems with affine vector fields by using multiple Lyapunov function method. The multiple Lyapunov function (MLF) is constructed from a set of auxiliary function having quadratic and linear terms for each subsystem of the switched systems. By using such an MLF, a switching rule is determined to enforce the state of the switched systems to a desired equilibrium point and make a guaranteed cost performance hold. Sufficient conditions for the existence of such a switching rule are also given in form of linear matrix inequalities (LMIs). Finally,the method is applied to a boost converter. ? 2012 ISSN 2185-2766.

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