1 citations · 1 across the 13 of their papers we have counts for
13 papers
A Generalized Scalar Auxiliary Variable Method for Structure-Preserving and Efficient Integration of Nonlinear port-Hamiltonian DAEs
Aashutosh Sharma, Andreas Bartel, Manuel Schaller
We develop an energy-optimal generalized scalar auxiliary variable (EOP-GSAV) framework for nonlinear index-one port-Hamiltonian differential-algebraic equations (pH-DAEs). Exploit…
Stabilize-then-optimize: Feedback transformations as preconditioners in optimal control
Till Preuster, Manuel Schaller, Anton Schiela +1
Many numerical algorithms for optimal control leverage an elimination of the state via the control-to-state map such as condensed approaches or preconditioned conjugate gradient me…
Coupling optimization algorithms and monotone control systems: Suboptimal model predictive control as an operator splitting scheme
Till Preuster, Hannes Gernandt, Manuel Schaller
We propose a framework for suboptimal model predictive control (MPC) based on the interconnection of monotone dynamical systems, such as port-Hamiltonian systems. In contrast to cl…
Goal-Oriented Time Adaptivity for Linear Port-Hamiltonian Differential-Algebraic Equations of Index~1
Aashutosh Sharma, Andreas Bartel, Manuel Schaller
Port-Hamiltonian systems provide a highly-structured framework for modeling of physical systems. By definition, they encode a balance equation relating energy changes to supplied a…
Stabilization of monotone control systems with input constraints
Till Preuster, Hannes Gernandt, Manuel Schaller
We present a stabilizing output-feedback controller for nonlinear finite and infinite-dimensional control systems governed by monotone operators that respects given input constrain…
Towards Polynomial Immersion of Port-Hamiltonian Systems
Mohammad Itani, Manuel Schaller, Karl Worthmann +1
Port-Hamiltonian (pH) systems offer a highly structured and energy-based modular framework for control systems. Many pH systems exhibit non-polynomial non-linearities. We consider…
Optimization-based control by interconnection of nonlinear port-Hamiltonian systems
Till Preuster, Hannes Gernandt, Manuel Schaller
In this paper, we develop a control-by-interconnection approach for the stabilization of nonlinear port-Hamiltonian systems. Motivated by model predictive control, the controller i…
Abstract second-order boundary control systems
Till Preuster, Timo Reis, Manuel Schaller
Many physical systems, such as vibrating elastic bodies, acoustic media and electromagnetic fields, are governed by second-order evolution equations and inte…
Extension theory via boundary triplets for infinite-dimensional implicit port-Hamiltonian systems
Hannes Gernandt, Friedrich Philipp, Till Preuster +1
The solution of constrained linear partial-differential equations can be described via parametric representations of linear relations. To study these representations, we provide a…
Nonlinear controlled port-Hamiltonian systems: Existence of (optimal) solutions
Willem Esterhuizen, Bernhard Maschke, Till Preuster +2
We investigate the existence of solutions of reversible and irreversible port-Hamilto\-nian systems. To this end, we utilize the associated exergy, a function that is composed of t…
Port-Hamiltonian structures in infinite-dimensional optimal control: Primal-Dual gradient method and control-by-interconnection
Hannes Gernandt, Manuel Schaller
In this note, we consider port-Hamiltonian structures in numerical optimal control of ordinary differential equations. By introducing a novel class of nonlinear monotone port-Hamil…
Goal-oriented time adaptivity for port-Hamiltonian systems
Andreas Bartel, Manuel Schaller
Port-Hamiltonian systems provide an energy-based modeling paradigm for dynamical input-state-output systems. At their core, they fulfill an energy balance relating stored, dissipat…
Jet space extensions of infinite-dimensional Hamiltonian systems
Till Preuster, Manuel Schaller, Bernhard Maschke
We analyze infinite-dimensional Hamiltonian systems corresponding to partial differential equations on one-dimensional spatial domains formulated with formally skew-adjoint Hamilto…