Energy-Based Control of Nonlinear Infinite-Dimensional Port-Hamiltonian Systems with Dissipation

Abstract

In this paper, we consider nonlinear PDEs in a port-Hamiltonian setting based on an underlying jet-bundle structure. We restrict ourselves to systems with 1-dimensional spatial domain and 2nd-order Hamiltonian including certain dissipation models that can be incorporated in the port- Hamiltonian framework by means of appropriate differential operators. For this system class, energy-based control by means of Casimir functionals as well as energy balancing is analysed and demonstrated using a nonlinear Euler-Bernoulli beam.

8 pages, extended version of an accepted CDC 2018 paper

Cited by in corpus (2)

• Energy-Based In-Domain Control of a Piezo-Actuated Euler-Bernoulli Beam
• Energy-based Control and Observer Design for higher-order infinite-dimensional Port-Hamiltonian Systems