**Reference:**

D. Corona,
J. Buisson, and
B. De Schutter,
"A Hamiltonian approach for the optimal control of the switching
signal for a DC-DC converter," *Proceedings of the 17th IFAC World
Congress*, Seoul, Korea, pp. 7654-7659, July 2008.

**Abstract:**

The optimal control problem of a switching DC-DC converter is
considered in this paper. An LQ (Linear Quadratic) type performance
index of the error between the current state variables and the target
working point is defined. The feedback control on the decision
variable of the duty cycle frequency is then formulated as a
minimization of an appropriate Hamiltonian function of which
suboptimal solutions are proposed. These are based on a detailed study
of the average model of the system, obtained from the desired steady
state solution. This paper focuses on a particular converter (the
Buck-Boost converter), but the results are easily extensible to all
single switch-cell converters.

Online version of the paper

Corresponding technical report: pdf file (253 KB)

@inproceedings{CorBui:07-033,

author={D. Corona and J. Buisson and B. {D}e Schutter},

title={A {Hamiltonian} approach for the optimal control of the switching signal for a {DC-DC} converter},

booktitle={Proceedings of the 17th IFAC World Congress},

address={Seoul, Korea},

pages={7654--7659},

month=jul,

year={2008},

doi={10.3182/20080706-5-KR-1001.01294}

}

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