26 citations · 72 across the 8 of their papers we have counts for
9 papers · 1 filter
Error bounds for port-Hamiltonian model and controller reduction based on system balancing
Tobias Breiten, Riccardo Morandin, Philipp Schulze
We study linear quadratic Gaussian (LQG) control design for linear port-Hamiltonian systems. To this end, we exploit the freedom in choosing the weighting matrices and propose a sp…
Neural Network Based Nonlinear Observers
Tobias Breiten, Karl Kunisch
Nonlinear observers based on the well-known concept of minimum energy estimation are discussed. The approach relies on an output injection operator determined by a Hamilton-Jacobi-…
Funnel control for the monodomain equations with the FitzHugh-Nagumo model
Thomas Berger, Tobias Breiten, Marc Puche +1
We consider a nonlinear reaction diffusion system of parabolic type known as the monodomain equations, which model the interaction of the electric current in a cell. Together with…
Feedback Stabilization of the Three-Dimensional Navier-Stokes Equations using Generalized Lyapunov Equations
Tobias Breiten, Karl Kunisch
The approximation of the value function associated to a stabilization problem formulated as optimal control problem for the Navier-Stokes equations in dimension three by means of s…
Feedback Stabilization of the Two-Dimensional Navier-Stokes Equations by Value Function Approximation
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
The value function associated with an optimal control problem subject to the Navier-Stokes equations in dimension two is analyzed. Its smoothness is established around a steady sta…
On the Turnpike Property and the Receding-Horizon Method for Linear-Quadratic Optimal Control Problems
Tobias Breiten, Laurent Pfeiffer
Optimal control problems with a very large time horizon can be tackled with the Receding Horizon Control (RHC) method, which consists in solving a sequence of optimal control probl…