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Constrained Optimal Control of dc-dc Converters


G. Papafotiou

Hybrid Control - European Network Workshop, Lund, Sweden

In this talk, we present the on going work on the constrained optimal control of switch-mode dc-dc converters, starting from the synchronous step-down converter as an illustrating example. In particular, we discuss how the inherent hybrid nature of these systems is captured by the novel \nu-resolution modelling approach, which results to a piecewise affine (PWA) model of the converter that is valid for the whole operating range. Then, we formulate a Constrained Finite Time Optimal Control (CFTOC) problem that captures the control objectives, while respecting the system's physical and safety constraints. The CFTOC problem is solved off-line, resulting in an explicit PWA state-feedback controller that can be easily implemented in the real hardware. Experimental results are presented that verify the validity of the approach, and the extension of the method to other converter topologies is highlighted through the example of the boost converter. The accompanying MATLAB files (in, allow one to test through simulations the performance of the proposed controller.


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