On the sample complexity of stabilizing linear dynamical systems from data
SWR Werner, B Peherstorfer - Foundations of Computational Mathematics, 2024 - Springer
Learning controllers from data for stabilizing dynamical systems typically follows a two-step
process of first identifying a model and then constructing a controller based on the identified …
process of first identifying a model and then constructing a controller based on the identified …
Fixed-order H-infinity controller design for port-Hamiltonian systems
P Schwerdtner, M Voigt - Automatica, 2023 - Elsevier
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 thus …
port-Hamiltonian (pH) plants. Our method computes controllers that are also pH (and thus …
Low-complexity linear parameter-varying approximations of incompressible Navier-Stokes equations for truncated state-dependent Riccati feedback
J Heiland, SWR Werner - IEEE Control Systems Letters, 2023 - ieeexplore.ieee.org
Nonlinear feedback design via state-dependent Riccati equations is well established but
unfeasible for large-scale systems because of computational costs. If the system can be …
unfeasible for large-scale systems because of computational costs. If the system can be …
System stabilization with policy optimization on unstable latent manifolds
SWR Werner, B Peherstorfer - Computer Methods in Applied Mechanics …, 2025 - Elsevier
Stability is a basic requirement when studying the behavior of dynamical systems. However,
stabilizing dynamical systems via reinforcement learning is challenging because only little …
stabilizing dynamical systems via reinforcement learning is challenging because only little …
Data-driven stabilization of an oscillating flow with linear time-invariant controllers
This paper presents advances towards the data-based control of periodic oscillator flows,
from their fully developed regime to their equilibrium stabilized in closed loop, with linear …
from their fully developed regime to their equilibrium stabilized in closed loop, with linear …
A low-rank solution method for Riccati equations with indefinite quadratic terms
Algebraic Riccati equations with indefinite quadratic terms play an important role in
applications related to robust controller design. While there are many established …
applications related to robust controller design. While there are many established …
Data-driven stabilization of an oscillating flow with LTI controllers
This paper presents advances towards the data-based control of periodic oscillator flows,
from their fully-developed regime to their equilibrium stabilized in closed-loop, with linear …
from their fully-developed regime to their equilibrium stabilized in closed-loop, with linear …
Using factorizations in Newton's method for solving general large-scale algebraic Riccati equations
J Saak, SWR Werner - arXiv preprint arXiv:2402.06844, 2024 - arxiv.org
Continuous-time algebraic Riccati equations can be found in many disciplines in different
forms. In the case of small-scale dense coefficient matrices, stabilizing solutions can be …
forms. In the case of small-scale dense coefficient matrices, stabilizing solutions can be …
Statistical Proper Orthogonal Decomposition for model reduction in feedback control
Feedback control synthesis for nonlinear, parameter-dependent fluid flow control problems
is considered. The optimal feedback law requires the solution of the Hamilton-Jacobi …
is considered. The optimal feedback law requires the solution of the Hamilton-Jacobi …
Multifidelity Robust Controller Design with Gradient Sampling
Robust controllers that stabilize dynamical systems even under disturbances and noise are
often formulated as solutions of nonsmooth, nonconvex optimization problems. While …
often formulated as solutions of nonsmooth, nonconvex optimization problems. While …