Network modelling of physical systems: a geometric approach


Schaft, Arjan van der and Maschke, Bernhard and Ortega, Romeo (2001) Network modelling of physical systems: a geometric approach. In: A. Banos & F. Lamnabhi-Lagarrigue & F.J. Montoya (Eds.), Advances in the Control of Nonlinear Systems. Lecture Notes in Control and Informational Sciences, 264/20 . Springer, London, UK, pp. 253-276. ISBN 9781852333782

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Abstract:It is discussed how network modeling of lumped-parameter physical systems naturally leads to a geometrically defined class of systems, called port-controlled Hamiltonian systems (with dissipation). The structural properties of these systems are investigated, in particular the existence of Casimir functions and their implications for stability. It is shown how the power-conserving interconnection with a controller system which is also a port-controlled Hamiltonian system defines a closed-loop port-controlled Hamiltonian system; and how this may be used for control by shaping the internal energy. Finally, extensions to implicit system descriptions (constraints, no a priori input-output structure) are discussed.
Item Type:Book Section
Copyright:© 2001 Springer
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Metis ID: 200883