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Hybrid Model Predictive Control of the Step-Down DC-DC Converter

Author(s):

T. Geyer, G. Papafotiou, M. Morari
Conference/Journal:

vol. AUT08-01
Abstract:

Dc-dc converters pose challenging hybrid control problems, since the semiconductor switches induce different modes of operation and several constraints (on the duty cycle and the inductor current) are present. In this paper, we propose a novel approach to the modelling and controller design problem for fixed-frequency dc-dc converters, using a synchronous step-down dc-dc converter as an illustrative ex- ample. We introduce a hybrid converter model that is valid for the whole operating regime. Based on this model, we formulate and solve a constrained optimal control problem. To make the scheme implementable, we derive off-line the explicit state-feedback control law, which can be easily stored and implemented in a look-up table. A Kalman filter is added to account for unmeasured load variations and to achieve zero steady-state output voltage error. An a posteriori analysis proves by deriving a piecewise quadratic Lyapunov function that the closed-loop system is exponentially stable. Simulation results demonstrate the potential advantages of the proposed control methodology.

Year:

2008
Type of Publication:

(04)Technical Report
Supervisor:



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% Autogenerated BibTeX entry
@TechReport { GeyPap:2008:IFA_3015,
    author={T. Geyer and G. Papafotiou and M. Morari},
    title={{Hybrid Model Predictive Control of the Step-Down DC-DC
	  Converter}},
    institution={},
    year={2008},
    number={},
    address={},
    month=jan,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=3015}
}
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