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

Carlos Andrés Torres-Pinzón, Leonel Paredes-Madrid, Freddy Flores-Bahamonde, Harrynson Ramirez-Murillo

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


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.

Original languageEnglish
Article number2286
Pages (from-to)1-19
Number of pages19
JournalApplied Sciences (Switzerland)
Issue number5
Publication statusPublished - 1 Mar 2021


  • Bilinear model
  • Boost converter
  • Linear Matrix Inequalities (LMI)
  • LMI-Fuzzy control
  • Takagi-Sugeno (T-S) fuzzy model

ASJC Scopus subject areas

  • General Materials Science
  • Instrumentation
  • General Engineering
  • Process Chemistry and Technology
  • Computer Science Applications
  • Fluid Flow and Transfer Processes


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