4.8 Article

Periodic Time-Triggered Hybrid Control for DC-DC Converter Based on Switched Affine System Model

Journal

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
Volume 70, Issue 1, Pages 311-321

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIE.2022.3150085

Keywords

Switches; Control systems; Synthetic aperture sonar; Linear matrix inequalities; Lyapunov methods; Symmetric matrices; Matrix converters; DC-DC converter; linear matrix inequality (LMI); Lyapunov stability; switched affine system (SAS); switching control

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The introduction of the switched affine system opens new possibilities for the control design of dc-dc converters. However, existing methods suffer from nonlinear optimization problems and high computational resource requirements. This article proposes a new hybrid control scheme based on linear matrix inequality formulations, reducing the online computing burden and establishing a unified view with classical continuous-time switching schemes.
The introduction of the switched affine system opens new perspectives for the control design of dc-dc converters. In order to overcome the drawbacks of the continuous-time switching control methods, several sampled-data-based switching control approaches have been proposed in the literature. However, in these works, the solution of control parameters involves a nonlinear optimization problem. In addition, the designed switching laws are nonlinear functions about the system state, which require higher computational resources. In this article, a periodic time-triggered hybrid control is proposed based on a new design framework. All the design conditions are in linear matrix inequality formulations, which can be conveniently solved by common semidefinite programming software. Moreover, the proposed switching law is a linear function about the state, reducing the online computing burden. Finally, a unified view of the classical continuous-time switching scheme and the proposed method is established. Simulation and experiment tests on a buck-boost converter demonstrate the good performance of the proposed control strategy.

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