8 citations · 36 across the 32 of their papers we have counts for
10 papers · 1 filter
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…
On the equivalence of geometric and descriptor representations of linear port-Hamiltonian systems
Hannes Gernandt, Friedrich Philipp, Till Preuster +1
We prove a one-to-one correspondence between the geometric formulation of port-Hamiltonian (pH) systems defined by Dirac structures, Lagrange structures, maximal resistive structur…
Hidden regularity in singular optimal control of port-Hamiltonian systems
Timm Faulwasser, Jonas Kirchhoff, Volker Mehrmann +3
We study the problem of state transition on a finite time interval with minimal energy supply for linear port-Hamiltonian systems. While the cost functional of minimal energy suppl…
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…
Strict dissipativity for generalized linear-quadratic problems in infinite dimensions
Lars Grüne, Friedrich Philipp, Manuel Schaller
We analyze strict dissipativity of generalized linear quadratic optimal control problems on Hilbert spaces. Here, the term ``generalized'' refers to cost functions containing both…
Towards reliable data-based optimal and predictive control using extended DMD
Manuel Schaller, Karl Worthmann, Friedrich Philipp +2
While Koopman-based techniques like extended Dynamic Mode Decomposition are nowadays ubiquitous in the data-driven approximation of dynamical systems, quantitative error estimates…
Finite-data error bounds for Koopman-based prediction and control
Feliks Nüske, Sebastian Peitz, Friedrich Philipp +2
The Koopman operator has become an essential tool for data-driven approximation of dynamical (control) systems, e.g., via extended dynamic mode decomposition. Despite its popularit…
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…
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…