LMI-fuzzy control design for non-minimum-phase DC-DC converters: An application for output regulation

Robust control techniques for power converters are becoming more attractive because they can meet with most demanding control goals like uncertainties. In this sense, the Takagi-Sugeno (T-S) fuzzy controller based on linear matrix inequalities (LMI) is a linear control by intervals that has been relatively unexplored for the output-voltage regulation problem in switching converters. Through this technique it is possible to minimize the disturbance rejection level, satisfying constraints over the decay rate of state variables as well as the control effort. Therefore, it is possible to guarantee, a priori, the stability of the large-signal converters in a broad operation domain. This work presents the design of a fuzzy control synthesis based on a T-S fuzzy model for non-minimum phase dc-dc converters, such as boost and buck-boost. First, starting from the canonical bilinear converters expression, a Takagi-Sugeno (T-S) fuzzy model is obtained, allowing to define the fuzzy controller structure through the parallel distributed compensation technique (PDC). Finally, the fuzzy controller design based on LMIs is solved for the defined specification in close loop through MATLAB toolbox LMI. Simulations and experimental results of a 60 W prototype are presented to verify theoretical predictions. © 2021 by the authors. Licensee MDPI, Basel, Switzerland.

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Indexación Scopus

Keywords

Buck Converter, Sliding Mode Control, Acceleration (Physics), Takagi-Sugeno (T-S) fuzzy model, Linear Matrix Inequalities (LMI), Bilinear model

Citation

Applied Sciences (Switzerland), Volume 11, Issue 5, 1 March 2021, Article number 2286, Pages 1-19

DOI

10.3390/app11052286

URI

http://repositorio.unab.cl/xmlui/handle/ria/18984

Collections

FIng - Artículos de Revista

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