Advanced control laws of DC-DC converters based on piecewise affine modelling. Application to a step-down converter

Cristina Vlad 1 Pedro Rodriguez-Ayerbe 1 Emmanuel Godoy 1 Pierre Lefranc
1 AUTO - Département Automatique
E3S - Supélec Sciences des Systèmes [Gif-sur-Yvette]
Abstract : This study proposes two control techniques for a buck converter operating in continuous conduction mode at a fixed switching frequency. The non-linear behaviour of this switched system is represented by a discrete piecewise affine (PWA) model. The PWA representation offers a precise approximation of the converter's dynamics in the whole operating domain and also allows the investigation of system's stability and the design of different control laws. The first control approach corresponds to a piecewise linear (PWL) state-feedback controller, designed by using a piecewise quadratic Lyapunov function and by solving a set of linear matrix inequalities. This control method guarantees the stability of the closed-loop system for a wide range of operating points. The second control strategy is a model predictive control. The constrained optimal control problem is formulated and solved using the PWA approximation as a prediction model. The explicit form of the control law is derived off-line as an affine state-feedback controller and stored in a look-up table for implementation. Both PWL and PWA controllers are validated experimentally, showing better performances in comparison with a proportional-integral or constant state-feedback controller.
Type de document :
Article dans une revue
IET Power Electronics, The Institution of Engineering and Technology, 2014, 17 p. 〈10.1049/iet-pel.2013.0380〉
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https://hal-supelec.archives-ouvertes.fr/hal-00999732
Contributeur : Pascale Lepeltier <>
Soumis le : mercredi 4 juin 2014 - 08:25:17
Dernière modification le : jeudi 29 mars 2018 - 11:06:06

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Cristina Vlad, Pedro Rodriguez-Ayerbe, Emmanuel Godoy, Pierre Lefranc. Advanced control laws of DC-DC converters based on piecewise affine modelling. Application to a step-down converter. IET Power Electronics, The Institution of Engineering and Technology, 2014, 17 p. 〈10.1049/iet-pel.2013.0380〉. 〈hal-00999732〉

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