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 …

This paper considers the optimal control problem of linear switched systems with linear
quadratic (LQ) cost or multiple LQ cost. By adopting an embedding transformation, the …

We investigate an extension of Mixed-Integer Optimal Control Problems by adding switching
costs, which enables the penalization of chattering and extends current modeling …

We propose a trust-region method that solves a sequence of linear integer programs to
tackle integer optimal control problems regularized with a total variation penalty. The total …

We consider optimal control problems for partial differential equations where the controls
take binary values but vary over the time horizon; they can thus be seen as dynamic …

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 …

This letter concerns the optimal control of a continuous-time dynamical system via
continuous and discrete-valued control variables, where the objective functional also …

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 …

We extend recent work on the performance of the combinatorial integral approximation
decomposition approach for Mixed-Integer Optimal Control Problems (MIOCPs) in the …

In this article, an optimal switching integrity attack problem is investigated to study the
response of feedback control systems under attack. The authors model the malicious attacks …