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ADAPTIVE DYNAMICAL INPUT–OUTPUT LINEARIZATION OF DC TO DC POWER CONVERTERS: A BACKSTEPPING APPROACH
Author(s) -
SiraRamírez Hebertt,
RiosBolivar Miguel,
Zinober Alan S. I.
Publication year - 1997
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/(sici)1099-1239(199703)7:3<279::aid-rnc203>3.0.co;2-#
Subject(s) - control theory (sociology) , backstepping , converters , linearization , power (physics) , feedback linearization , computer science , nonlinear system , mathematics , physics , adaptive control , control (management) , artificial intelligence , quantum mechanics
Dynamical adaptive regulation of pulse‐width‐modulation (PWM) controlled power supplies is proposed using a suitable combination of average dynamical input–output linearization and the ‘backstepping’ controller design method. Nonlinear average models of dc to dc power supplies are not transformable to parametric pure nor parametric strict feedback canonical forms by means of parameter‐independent state co‐ordinate transformation. A more direct approach is therefore proposed for implementing the fundamental ideas related to the so called ‘non‐overparametrized’ adaptive backstepping algorithm which avoids explicit transformations to the above mentioned canonical forms. Dynamical adaptive feedback controllers are developed for the regulation of the input‐inductor current towards desirable constant values. The validity of the proposed approach, regarding control objectives and robustness with respect to unmodelled, yet unmatched, and bounded stochastic perturbation inputs, is tested through digital computer simulations. © 1997 by John Wiley & Sons, Ltd.