Modeling and Control of Complex Physical Systems: The by Vincent Duindam, Alessandro Macchelli, Stefano Stramigioli,

By Vincent Duindam, Alessandro Macchelli, Stefano Stramigioli, Herman Bruyninckx

Energy trade is a big starting place of the dynamics of actual platforms, and, for this reason, within the research of complicated multi-domain platforms, methodologies that explicitly describe the topology of strength exchanges are instrumental in structuring the modeling and the computation of the system's dynamics and its control.
This publication is the result of the eu venture "Geoplex" (FP5 IST-2001-34166) that studied and prolonged such process modeling and regulate methodologies. This detailed ebook starts off from the fundamental proposal of port-based modeling, and extends it to port-Hamiltonian structures. This wide-spread paradigm is utilized to numerous actual domain names, displaying its strength and unifying flexibility for genuine multi-domain systems.

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However, the next discussion will show that a port-based approach is also crucial in modern design. In a design process the following, iterative phases can be distinguished: 8 1 Port-Based Modeling of Dynamic Systems Phase 1: A conceptual design is made of the system that has to be constructed, taking into account the tasks that have to be performed and identifying and modeling the major components and their dominant dynamic behaviors, as well as the already existing parts of the system or its environment that cannot be modified.

However, qualitative properties of a storage (multi)port, like intrinsic stability, may lead to additional constraints such as positive-definiteness and positive diagonal elements of the Jacobian of the relation (cf. Sect. 3). The storage ports can also be classified as ‘history ports’, a terminology that reflects the required presence of an integration with respect to time, while all other ports belong to the class of ‘non-history ports’, which means that their constitutive relations only relate the variables at the current time instant, in other words the constitutive relations are algebraic, although it can still be the case that states modulate these elements.

9 Modulation and bond activation It was already shortly mentioned that the letter M in the node symbol of some of the parametrized nodes stands for ‘modulated’, expressing that the constitutive equation 30 1 Port-Based Modeling of Dynamic Systems can depend on an external signal (modulation) without changing the nature of the node or affecting the power balance. Storage elements are parametrized, but not modulated in principle, as this would violate the basic concept of storage. g.

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