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Galerkin‐based sliding mode tracking control of non‐minimum phase DC‐to‐DC power converters
Authors:Enric Fossas  Josep M. Olm  Alan S. Zinober  Yuri B. Shtessel
Affiliation:1. Institute of Industrial and Control Engineering, Technical University of Catalonia, Barcelona 08028, Spain;2. Department of Automatic Control and Computer Engineering, Technical University of Catalonia, Barcelona 08028, SpainDepartment of Automatic Control and Computer Engineering, Technical University of Catalonia, Avda. Diagonal 647, Barcelona 08028, Spain===;3. Department of Applied Mathematics, The University of Sheffield, Sheffield S10 2TN, U.K.;4. Department of Electrical and Computer Engineering, The University of Alabama in Huntsville, Huntsville, AL 35899, U.S.A.
Abstract:
Output voltage control of nonlinear DC‐to‐DC power converters is handicapped by the non‐minimum phase character exhibited by these systems. The problem has been usually solved with indirect control strategies that work through the input current. In this article, we report a robust control methodology that uses Galerkin‐based sliding manifolds, which use full state reference profiles and an estimate of the disturbed load parameter. The sliding surface incorporates a first‐order Galerkin approximation of the input current that provides robustness to piecewise constant load perturbations by dynamic compensation: it allows on‐line accommodation to the action of the load estimator. This results in high‐accuracy tracking of periodic references at the output resistance of boost and buck‐boost converters. Copyright © 2006 John Wiley & Sons, Ltd.
Keywords:Galerkin method  non‐minimum phase systems  robust control  bilinear power converters
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