Fixed-Order H-Infinity Controller Design for Port-Hamiltonian Systems

no code implementations • 15 Sep 2022 • Paul Schwerdtner, Matthias Voigt

In constrast to that, our method computes pH controllers, that are automatically passive and simultaneously aim to minimize the H-infinity norm of the closed-loop transfer function.

Structure-Preserving Model Order Reduction for Index Two Port-Hamiltonian Descriptor Systems

no code implementations • 8 Jun 2022 • Tim Moser, Paul Schwerdtner, Volker Mehrmann, Matthias Voigt

Our parameterization ensures that the reduced model is again a pH-DAE system and enables a compact representation of the algebraic part of the large-scale model, which in projection-based methods often requires a more involved treatment.

Adaptive Sampling for Structure Preserving Model Order Reduction of Port-Hamiltonian Systems

no code implementations • 21 Jun 2021 • Paul Schwerdtner, Matthias Voigt

We present an adaptive sampling strategy for the optimization-based structure preserving model order reduction (MOR) algorithm developed in [Schwerdtner, P. and Voigt, M. (2020).

SOBMOR: Structured Optimization-Based Model Order Reduction

no code implementations • 15 Nov 2020 • Paul Schwerdtner, Matthias Voigt

The structural constraints can be encoded in the parametrization of the ROM.

Balanced Truncation Model Reduction with A Priori Error Bounds for LTI Systems with Nonzero Initial Value

no code implementations • 3 Jun 2020 • Christian Schröder, Matthias Voigt

We first derive a joint projection reduced-order model in which the part of the system depending only on the input and the one depending only on the initial value are reduced at once and we prove an a priori error bound.