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Incrementally port-Hamiltonian systems
52nd IEEE Conference on Decision and Control, 2013This paper introduces the new class of incrementally port-Hamiltonian systems. This class can be obtained from standard port-Hamiltonian systems by replacing the composition of the Dirac structure and energy-dissipating relation by a maximal monotone relation.
Camlibel, M Kanat, van der Schaft, AJ
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Control of Port-Hamiltonian Systems
2007Energy plays a central role in the control of physical systems since the "shape" of the energy is related to the stability properties of the system. In fact, it is well known from physics, that every configuration characterized by a (local) minimum of the energy exhibits a (locally) stable behavior.
Secchi C., Fantuzzi C., Stramigioli S.
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ON CONTROL BY INTERCONNECTION OF PORT HAMILTONIAN SYSTEMS
IFAC Proceedings Volumes, 2005Abstract: In the standard approach of control by interconnection the plant and the controller are assumed to be passive and coupled via a power–preserving interconnection— generating an overall passive system with storage function the sum of the plant and controller storage functions. To achieve stabilization of a desired equilibrium one must make this
Garcia-Canseco, Eloisa +3 more
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Decomposition of linear port-Hamiltonian systems
Proceedings of the 2011 American Control Conference, 2011It is well known that the power conserving interconnection of finite dimensional port-Hamiltonian systems is also a port-Hamiltonian system. Given a linear port-Hamiltonian system, this paper proposes conditions under which the control system can be expressed as a composition of two linear port-Hamiltonian systems.
K. Höffner, Martin Guay
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2009
In this chapter, we will show how the representation of a lumped-parameter physical system as a bond graph naturally leads to a dynamical system endowed with a geometric structure, called a port-Hamiltonian system. The dynamics are determined by the storage elements in the bond graph (cf. Sect. 1.6.3), as well as the resistive elements (cf. Sect. 1.6.4)
Vincent Duindam +3 more
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In this chapter, we will show how the representation of a lumped-parameter physical system as a bond graph naturally leads to a dynamical system endowed with a geometric structure, called a port-Hamiltonian system. The dynamics are determined by the storage elements in the bond graph (cf. Sect. 1.6.3), as well as the resistive elements (cf. Sect. 1.6.4)
Vincent Duindam +3 more
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Interconnection of irreversible port Hamiltonian systems
AutomaticazbMATH Open Web Interface contents unavailable due to conflicting licenses.
Héctor Ramírez 0002, Yann Le Gorrec
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Physical Modeling and Port-Hamiltonian Systems
2007Interaction between physical systems is determined by an exchange of energy and, therefore, a first step towards the control of interaction is to explicitly model the energetic properties of physical systems. © 2007 Springer-Verlag Berlin Heidelberg.
Secchi C., Fantuzzi C., Stramigioli S.
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Control by interconnection of mixed port Hamiltonian systems
IEEE Transactions on Automatic Control, 2005In this note, the regulation problem for mixed finite and infinite dimensional port Hamiltonian systems (m-pH systems) is discussed. A m-pH system results from the power conserving interconnection of finite and infinite dimensional systems in port Hamiltonian form. In particular, the system given by the interconnection of two finite dimensional systems,
MACCHELLI, ALESSANDRO +1 more
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Stability of Port-Hamiltonian Systems
2012In this chapter we return to the class of port-Hamiltonian partial differential equations which we introduced in Chapter 7. If a port-Hamiltonian system possesses n (linearly independent) boundary conditions and if the energy is non-increasing, then the associated abstract differential operator generates a contraction semigroup on the energy space.
Birgit Jacob, Hans J. Zwart
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Port-Hamiltonian system: structure recognition and applications
ПрограммированиеIn this paper, we continue to consider the problem of recovering the port-Hamiltonian structure for an arbitrary system of differential equations. We complement our previous study on this topic by explaining the choice of machine learning algorithms and discussing some details of their application.
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