A state transfer principle for switching port-Hamiltonian systems
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Citationvan der Schaft, A. J., & Çamlıbel, M. K. (2009). A state transfer principle for switching port-Hamiltonian systems. In 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference (pp. 45-50). Piscataway, NJ: IEEE. https://dx.doi.org/10.1109/CDC.2009.5400785
Instantaneous charge/flux transfers may occur in switched electrical circuits when the switch configuration changes. Characterization of such state discontinuities is a classical issue in circuit theory which, typically, is based on the so-called charge and flux conservation principle. This paper proposes a general state transfer principle for arbitrary switching port-Hamiltonian systems. This new principle coincides with the charge and flux conservation principle in the special case of linear RLC circuits, but also covers circuits with nonlinear capacitors and inductors, and of arbitrary topology. Moreover, the new principle is applied to switching mechanical systems.