Journal
INTERNATIONAL JOURNAL OF CONTROL
Volume 78, Issue 3, Pages 159-171Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207170500036191
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In this paper the method of power shaping, as recently introduced for the stabilization of non-linear RLC circuits, is generalized to a larger class of systems showing similarities (and important differences) with the class of port-controlled Hamiltonian systems. Other than for port-controlled Hamiltonian systems, the stabilization of these new systems is not stymied by a 'dissipation obstacle' and, in fact, every power-shaping controller is power balancing Lis well. It is shown that the power-shaping controller can be realized as a port-controlled Hamiltonian system connected by means of a gyrator to the plant. The theoretical results are applied to the class of non-linear RLC circuits described by Brayton Moser's equations, and a physical implementation of the controllers in terms of standard electrical circuit elements is given.
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