72 citations · 187 across the 20 of their papers we have counts for
11 papers · 1 filter
Port-Hamiltonian systems with energy and power ports
Kaja Krhac, Bernhard Maschke, Arjan van der Schaft
We extend the port-Hamiltonian framework defined with respect to a Lagrangian submanifold and a Dirac structure by augmenting the Lagrangian submanifold with the space of external…
Optimal control of port-Hamiltonian systems: energy, entropy, and exergy
Friedrich Philipp, Manuel Schaller, Karl Worthmann +2
We consider irreversible and coupled reversible-irreversible nonlinear port-Hamiltonian systems and the respective sets of thermodynamic equilibria. In particular, we are concerned…
Linear Boundary Port-Hamiltonian Systems with Implicitly Defined Energy
Bernhard Maschke, Arjan van der Schaft
In this paper we extend the previously introduced class of boundary port-Hamiltonian systems to boundary control systems where the variational derivative of the Hamiltonian functio…
Optimal control of thermodynamic port-Hamiltonian Systems
Bernhard Maschke, Friedrich Philipp, Manuel Schaller +2
We consider the problem of minimizing the entropy, energy, or exergy production for state transitions of irreversible port-Hamiltonian systems subject to control constraints. Via a…
Optimal control of port-Hamiltonian descriptor systems with minimal energy supply
Timm Faulwasser, Bernhard Maschke, Friedrich Philipp +2
We consider the singular optimal control problem of minimizing the energy supply of linear dissipative port-Hamiltonian descriptor systems subject to control and terminal state con…
Minimizing the energy supply of infinite-dimensional linear port-Hamiltonian systems
Friedrich Philipp, Manuel Schaller, Timm Faulwasser +2
We consider the problem of minimizing the supplied energy of infinite-dimensional linear port-Hamiltonian systems and prove that optimal trajectories exhibit the turnpike phenomeno…
Differential operator Dirac structures
Arjan van der Schaft, Bernhard Maschke
As shown in earlier work, skew-adjoint linear differential operators, mapping efforts into flows, give rise to Dirac structures on a bounded spatial domain by a proper definition o…
Control of port-Hamiltonian systems with minimal energy supply
Manuel Schaller, Friedrich Philipp, Timm Faulwasser +2
We investigate optimal control of linear port-Hamiltonian systems with control constraints, in which one aims to perform a state transition with minimal energy supply. Decomposing…
Dirac and Lagrange algebraic constraints in nonlinear port-Hamiltonian systems
Arjan van der Schaft, Bernhard Maschke
After recalling standard nonlinear port-Hamiltonian systems and their algebraic constraint equations, called here Dirac algebraic constraints, an extended class of port-Hamiltonian…
Generalized Port-Hamiltonian DAE Systems
Arjan van der Schaft, Bernhard Maschke
Motivated by recent work in this area we expand on a generalization of port-Hamiltonian systems that is obtained by replacing the Hamiltonian function representing energy storage b…
Port-Hamiltonian systems on graphs
A. J. van der Schaft, B. M. Maschke
In this paper we present a unifying geometric and compositional framework for modeling complex physical network dynamics as port-Hamiltonian systems on open graphs. Basic idea is t…