Data-driven approximation of the Koopman generator: Model reduction, system identification, and control

S Klus, F Nüske, S Peitz, JH Niemann… - Physica D: Nonlinear …, 2020 - Elsevier
We derive a data-driven method for the approximation of the Koopman generator called
gEDMD, which can be regarded as a straightforward extension of EDMD (extended dynamic …

Koopman operator-based model reduction for switched-system control of PDEs

S Peitz, S Klus - Automatica, 2019 - Elsevier
We present a new framework for optimal and feedback control of PDEs using Koopman
operator-based reduced order models (K-ROMs). The Koopman operator is a linear but …

Observer-based adaptive finite-time tracking control for a class of switched nonlinear systems with unmodeled dynamics

Y Chang, S Zhang, ND Alotaibi, AF Alkhateeb - IEEE Access, 2020 - ieeexplore.ieee.org
This paper investigates the adaptive finite-time tracking control problem for a class of
switched nonlinear systems with unmodeled dynamics. In practical applications, switched …

Is bang-bang control all you need? solving continuous control with bernoulli policies

T Seyde, I Gilitschenski, W Schwarting… - Advances in …, 2021 - proceedings.neurips.cc
Reinforcement learning (RL) for continuous control typically employs distributions whose
support covers the entire action space. In this work, we investigate the colloquially known …

Constrained composite optimization and augmented Lagrangian methods

A De Marchi, X Jia, C Kanzow, P Mehlitz - Mathematical Programming, 2023 - Springer
We investigate finite-dimensional constrained structured optimization problems, featuring
composite objective functions and set-membership constraints. Offering an expressive yet …

Event-triggered optimal control for a class of continuous-time switched nonlinear systems

Z Xiang, P Li, W Zou - IEEE Transactions on Automation …, 2024 - ieeexplore.ieee.org
This paper studies the optimal switching and control co-design for a class of continuous-time
switched nonlinear systems. An event-triggered adaptive dynamic programming (ADP) …

Optimal control of path-constrained switched systems with guaranteed feasibility

J Fu, C Zhang - IEEE Transactions on Automatic Control, 2021 - ieeexplore.ieee.org
This article considers the optimal control problem for path-constrained switched systems
with guaranteed feasibility. First, a method is proposed to reduce continuous path …

Sequential adaptive switching time optimization technique for optimal control problems

X Zhu, C Yu, KL Teo - Automatica, 2022 - Elsevier
The control parameterization method used together with time-scaling transformation is an
effective approach to transform optimal control problems into optimal parameter selection …

Parabolic optimal control problems with combinatorial switching constraints--Part III: Branch-and-bound algorithm

C Buchheim, A Grütering, C Meyer - arXiv preprint arXiv:2401.10018, 2024 - arxiv.org
We present a branch-and-bound algorithm for globally solving parabolic optimal control
problems with binary switches that have bounded variation and possibly need to satisfy …

Optimal control of constrained switched systems and application to electrical vehicle energy management

X Wu, K Zhang, M Cheng - Nonlinear Analysis: Hybrid Systems, 2018 - Elsevier
In this paper, we consider an optimal control problem of switched systems with input and
state constraints. It is difficult to numerically integrate the switched system with the initial …