Representation of a general composition of Dirac structures
Document typeConference report
Rights accessOpen Access
We provide explicit representations for the Dirac structure obtained from an arbitrary number of component Dirac structures coupled by means of another interconnecting Dirac structure. Our work generalizes the results in  in two aspects. First, the interconnecting structure is not limited to the simple feedback case considered there, and this opens new possibilities for designing control systems. Second, the number of simultaneously interconnected systems is not limited to two, which allows for extra flexibility in modeling, particularly in the case of electrical networks. Several relevant particular cases are presented, and the application to the interconnection of port- Hamiltonian systems is discussed by means of an example.
CitationBatlle, C.; Massana, I.; Simo, E. Representation of a general composition of Dirac structures. A: IEEE Conference on Decision and Control and European Control Conference. "Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference". Orlando, FL: IEEE, 2011, p. 5199-5204.