Preprint Article Version 1 This version is not peer-reviewed

Control of a DC-DC Buck Converter through Contraction Techniques

Version 1 : Received: 20 September 2018 / Approved: 20 September 2018 / Online: 20 September 2018 (05:17:58 CEST)

A peer-reviewed article of this Preprint also exists.

Angulo-Garcia, D.; Angulo, F.; Osorio, G.; Olivar, G. Control of a DC-DC Buck Converter through Contraction Techniques. Energies 2018, 11, 3086. Angulo-Garcia, D.; Angulo, F.; Osorio, G.; Olivar, G. Control of a DC-DC Buck Converter through Contraction Techniques. Energies 2018, 11, 3086.

Journal reference: Energies 2018, 11, 3086
DOI: 10.3390/en11113086

Abstract

Reliable and robust control of power converters is a key issue in the performance of numerous technological devices. In this paper we show a design technique for the control of a DC-DC buck converter with a switching technique that guarantees not only good performance but also global stability. We show that making use of the contraction theorem in the Jordan canonical form of the buck converter, it is possible to find a switching surface that guarantees stability but it is incapable of rejecting load perturbations. To overcome this, we expand the system to include the dynamics of the voltage error and we demonstrate that the same design procedure is not only able to stabilize the system to the desired operation point but also to reject load, input voltage and reference voltage perturbations.

Subject Areas

DC-DC buck converter; contraction analysis; global stability; matrix norm

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