Modeling and passivity based control of switched systems from bond graph formalism: application to multicellular converters

Abstract : This paper addresses the modelling and control of switched systems with Boolean inputs. A generalization of Passivity Based Control (PBC) is proposed and fitted to bond graph formalism. The state equations of the equivalent average model are first deduced from the original bond graph using the notion of commutation cells and then interpreted according to Port Controlled Hamiltonian formalism. The whole approach is presented in a formal way. This method is then applied on a multicellular serial converter, which is widespread in power systems and of growing interest. The application of PBC associated to a modelling approach using commutation cells on a non-trivial example shows its efficiency to determine a generic controller, the number of elementary cells being considered as a parameter.
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Journal articles
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https://hal-supelec.archives-ouvertes.fr/hal-00468151
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Submitted on : Wednesday, March 31, 2010 - 4:40:58 PM
Last modification on : Friday, November 16, 2018 - 1:29:46 AM

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Hervé Cormerais, Jean Buisson, Pierre-Yves Richard, Cécile Morvan. Modeling and passivity based control of switched systems from bond graph formalism: application to multicellular converters. Journal of the Franklin Institute of the State of Pennsylvania, 2008, 345 (5), pp. 468-488. ⟨10.1016/j.jfranklin.2008.01.001⟩. ⟨hal-00468151⟩

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