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Galerkin‐based sliding mode tracking control of non‐minimum phase DC‐to‐DC power converters
Author(s) -
Fossas Enric,
Olm Josep M.,
Zinober Alan S.,
Shtessel Yuri B.
Publication year - 2006
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1136
Subject(s) - control theory (sociology) , converters , robustness (evolution) , galerkin method , piecewise , sliding mode control , nonlinear system , mathematics , estimator , voltage , computer science , engineering , control (management) , physics , mathematical analysis , biochemistry , chemistry , statistics , artificial intelligence , quantum mechanics , electrical engineering , gene
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.