Energy-Optimal Control for infinite-dimensional port-Hamiltonian Systems

Abstract: We first present a theory for the optimal control of infinite-dimensional systems described by system nodes. In this context, we focus on minimizing the L^2-norm of the output, combined with an additional weighting of the final state. The input is assumed to lie within a closed and convex set. Next, we address energy-optimal control for infinite-dimensional port-Hamiltonian systems. We show that minimizing the supplied energy can be reformulated as an equivalent output minimization problem. The theory will be illustrated using a boundary control wave equation on a two-dimensional spatial domain.

mathematical physicsanalysis of PDEsdifferential geometrydynamical systemsfunctional analysisnumerical analysisoptimization and controlspectral theory

Audience: researchers in the discipline

Port-Hamiltonian Seminar

Series comments: Slides and recordings can be found here: uni-wuppertal.sciebo.de/s/CQfBsXr9iOI17ZY