activity
20152026
most citedData-driven approximation of the Koopman generator: Model reduction, system identification, and control

274 citations · 1k across the 43 of their papers we have counts for

collaborators
Showing 2018Show all

6 papers · 1 filter

math.OC2018★ 7 cited

Explicit multiobjective model predictive control for nonlinear systems with symmetries

Sina Ober-Blöbaum, Sebastian Peitz

Model predictive control is a prominent approach to construct a feedback control loop for dynamical systems. Due to real-time constraints, the major challenge in MPC is to solve mo…

math.OC2018★ 16 cited

Feedback control of nonlinear PDEs using data-efficient reduced order models based on the Koopman operator

Sebastian Peitz, Stefan Klus

In the development of model predictive controllers for PDE-constrained problems, the use of reduced order models is essential to enable real-time applicability. Besides local linea…

stat.ML2018★ 1 cited

Analyzing high-dimensional time-series data using kernel transfer operator eigenfunctions

Stefan Klus, Sebastian Peitz, Ingmar Schuster

Kernel transfer operators, which can be regarded as approximations of transfer operators such as the Perron-Frobenius or Koopman operator in reproducing kernel Hilbert spaces, are…

math.OC2018★ 23 cited

Koopman Operator-Based Finite-Control-Set Model Predictive Control for Electrical Drives

Sören Hanke, Sebastian Peitz, Oliver Wallscheid +3

Predictive control of power electronic systems always requires a suitable model of the plant. Using typical physics-based white box models, a trade-off between model complexity (i.…

math.OC2018★ 26 cited

On the hierarchical structure of Pareto critical sets

Bennet Gebken, Sebastian Peitz, Michael Dellnitz

In this article we show that the boundary of the Pareto critical set of an unconstrained multiobjective optimization problem (MOP) consists of Pareto critical points of subproblems…

math.OC2018★ 13 cited

Controlling nonlinear PDEs using low-dimensional bilinear approximations obtained from data

Sebastian Peitz

In a recent article, we presented a framework to control nonlinear partial differential equations (PDEs) by means of Koopman operator based reduced models and concepts from switche…