414 Int. J. Power Electronics, Vol. 1, No. 4, 2009 Copyright © 2009 Inderscience Enterprises Ltd. Hybrid modelling and control of a synchronous DC-DC converter Mahmood Mirzaei* and Ali A. Afzalian Department of Electrical Engineering, Shahid Abbaspour University of Technology, Tehran, Iran E-mail: Mirzaei@stud.pwut.ac.ir E-mail: Afzalian@pwut.ac.ir *Corresponding author Abstract: In this paper, the problem of hybrid modelling and control of a fixed frequency DC-DC converter, namely the Non-inverting Buck-Boost converter is addressed. The v-resolution method is used to capture the hybrid nature of the system. Two mixed logical dynamical (MLD) models are obtained for the converter using hybrid systems description language (HYSDEL). In the process of using v-resolution concept, the problem of non-linear terms in state update equations is solved using piecewise affine approximation. Three PWA models are obtained using least squares fitting over non-linear dynamics of the system. A suitable model in terms of accuracy and complexity is chosen for controller design. Model predictive control is used as the control strategy and explicit solution to the control problem is obtained. Finally, the simulation results are presented. The accuracy and complexity of the models are compared and the performance of the controller is evaluated over three different scenarios which are common in practice. Keywords: explicit solution; MLD model; model predictive control; Non-inverting Buck-Boost converter; PWA model. Reference to this paper should be made as follows: Mirzaei, M. and Afzalian, A.A. (2009) ‘Hybrid modelling and control of a synchronous DC-DC converter’, Int. J. Power Electronics, Vol. 1, No. 4, pp.414–433. Biographical notes: Mahmood Mirzaei received his BSc in Control Engineering from the Department of Electrical Engineering, Shiraz University, Shiraz, Iran in 2004. He obtained his MSc also in Control Engineering from Shahid Abbaspour University of Technology, Tehran, Iran in 2008. His research interests include hybrid systems modelling, model predictive control of hybrid systems and applications (e.g., power electronics), network controlled systems (NCS) and fault tolerant control systems. Ali A. Afzalian received his BEng and MSc in Electrical Engineering from the University of Tehran, Tehran, Iran, in 1988 and 1991 respectively and his PhD in Control Engineering from the University of Sheffield, Sheffield, UK in 1998. Since 1991, he has been a Faculty Member in the Department of Electrical Engineering of Shahid Abbaspour University of Technology, Teheran, Iran. His research interests include supervisory control of discrete-event systems, fuzzy logic, neural networks, neurofuzzy systems, genetic algorithms and electrical power systems control and dynamics.