8 citations · 17 across the 13 of their papers we have counts for
16 papers
Impulse Response Estimation via Laguerre-Fourier Expansion
Tamás Dózsa, Art J. R. Pelling, Matthias Voigt
The empirical transfer function estimate (ETFE) is a widely used method for system identification of linear time-invariant (LTI) systems in engineering disciplines such as acoustic…
Fixed-Order H-Infinity Controller Design for Port-Hamiltonian Systems
Paul Schwerdtner, Matthias Voigt
We present a new fixed-order H-infinity controller design method for potentially large-scale port-Hamiltonian (pH) plants. Our method computes controllers that are also pH (and thu…
Structure-Preserving Model Order Reduction for Index Two Port-Hamiltonian Descriptor Systems
Tim Moser, Paul Schwerdtner, Volker Mehrmann +1
We present a new optimization-based structure-preserving model order reduction (MOR) method for port-Hamiltonian descriptor systems (pH-DAEs) with differentiation index two. Our me…
Structure-Preserving Model Order Reduction for Index One Port-Hamiltonian Descriptor Systems
Paul Schwerdtner, Tim Moser, Volker Mehrmann +1
We develop optimization-based structure-preserving model order reduction (MOR) methods for port-Hamiltonian (pH) descriptor systems of differentiation index one. Descriptor systems…
Model Reduction of Parametric Differential-Algebraic Systems by Balanced Truncation
Jennifer Przybilla, Matthias Voigt
We deduce a procedure to apply balanced truncation to parameter-dependent differential-algebraic systems. For that we solve multiple projected Lyapunov equations for different para…
Adaptive Sampling for Structure Preserving Model Order Reduction of Port-Hamiltonian Systems
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). S…
SOBMOR: Structured Optimization-Based Model Order Reduction
Paul Schwerdtner, Matthias Voigt
Model order reduction (MOR) methods that are designed to preserve structural features of a given full order model (FOM) often suffer from a lower accuracy when compared to their no…
Structure-Preserving Model Reduction for Dissipative Mechanical Systems
Rebekka S. Beddig, Peter Benner, Ines Dorschky +4
Suppressing vibrations in mechanical systems, usually described by second-order dynamical models, is a challenging task in mechanical engineering in terms of computational resource…
Balanced truncation model reduction for symmetric second order systems -- A passivity-based approach
Ines Dorschky, Timo Reis, Matthias Voigt
We introduce a model reduction approach for linear time-invariant second order systems based on positive real balanced truncation. Our method guarantees asymptotic stability and pa…
Derivative Interpolating Subspace Frameworks for Nonlinear Eigenvalue Problems
Rifqi Aziz, Emre Mengi, Matthias Voigt
We first consider the problem of approximating a few eigenvalues of a rational matrix-valued function closest to a prescribed target. It is assumed that the proper rational part of…
Balanced Truncation Model Reduction with A Priori Error Bounds for LTI Systems with Nonzero Initial Value
Christian Schröder, Matthias Voigt
In standard balanced truncation model order reduction, the initial condition is typically ignored in the reduction procedure and is assumed to be zero instead. However, such a redu…
Discounted Cost Linear Quadratic Gaussian Control for Descriptor Systems
Hermann Mena, Lena-Maria Pfurtscheller, Matthias Voigt
We consider the linear quadratic Gaussian control problem with a discounted cost functional for descriptor systems on the infinite time horizon. Based on recent results from the de…
Semi-active damping optimization by adaptive interpolation
Zoran Tomljanović, Matthias Voigt
In this work we consider the problem of semi-active damping optimization of mechanical systems with fixed damper positions. Our goal is to compute a damping that is locally optimal…
A Subspace Framework for -Norm Minimization
Nicat Aliyev, Peter Benner, Emre Mengi +1
We deal with the minimization of the -norm of the transfer function of a parameter-dependent descriptor system over the set of admissible parameter values. Sub…
Large-Scale Computation of -Norms by a Greedy Subspace Method
Nicat Aliyev, Peter Benner, Emre Mengi +2
We are concerned with the computation of the -norm for an -function of the form , where the middle factor is t…
On linear-quadratic optimal control of implicit difference equations
Daniel Bankmann, Matthias Voigt
In this work we investigate explicit and implicit difference equations and the corresponding infinite time horizon linear-quadratic optimal control problem. We derive conditions fo…