PI-Type Controllers and Σ-Δ Modulation for Saturated DC-DC Buck Power Converters

Carlos Aguilar-Ibanez, Javier Moreno-Valenzuela, O. Garcia-Alarcon, Mizraim Martinez-Lopez, Jose Angel Acosta, Miguel S. Suarez-Castanon

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

Departing from analyzing a general input-saturated second-order system, a Lyapunov-based constructive procedure for the output-feedback stabilization of the constantly perturbed DC-DC buck power converter is presented. The proposed scheme also incorporates a Σ - Δ modulator. The obtained control scheme is developed in two parts: a proportional-integral-type family of algorithms devoted to regulating the uncertain system by using measurements of the output voltage and a Σ - Δ modulator dedicated to transforming the control action into a {0,1} discrete-valued signal. This modulator is a kind of a sliding controller, which can be seen as a subsystem with an on-off output. This combination, the PI-type family of controllers and the Σ - Δ modulator, assures the global stability of the closed-loop system, even if parametric uncertainties are presented. The convergence analysis was carried out using Lyapunov's method. The theoretical results are confirmed using real-time experimental tests, which demonstrate the anti-windup scheme and the Σ - Δ modulator efficiency. The experiments consider the saturation of the control input and disturbances, having obtained convincing results.

Original languageEnglish
Article number9335628
Pages (from-to)20346-20357
Number of pages12
JournalIEEE Access
Volume9
DOIs
StatePublished - 2021

Keywords

  • DC-DC buck converter
  • Lyapunov's method
  • experimental results
  • saturation control
  • Σ-Δ modulator

Fingerprint

Dive into the research topics of 'PI-Type Controllers and Σ-Δ Modulation for Saturated DC-DC Buck Power Converters'. Together they form a unique fingerprint.

Cite this