Energy-Based In-Domain Control of a Piezo-Actuated Euler-Bernoulli Beam
arXiv:1811.09672 · doi:10.1016/j.ifacol.2019.08.025
Abstract
The main contribution of this paper is the extension of the well-known boundary-control strategy based on structural invariants to the control of infinite-dimensional systems with in-domain actuation. The systems under consideration, governed by partial differential equations, are described in a port-Hamiltonian setting making heavy use of the underlying jet-bundle structure, where we restrict ourselves to systems with 1-dimensional spatial domain and 2nd-order Hamiltonian. To show the applicability of the proposed approach, we develop a dynamic controller for an Euler-Bernoulli beam actuated with a pair of piezoelectric patches and conclude the article with simulation results.
arXiv comment10 pages, 1 figure
References in corpus (3)
- Analysis and Comparison of Port-Hamiltonian Formulations for Field Theories - demonstrated by means of the Mindlin plate
- On the extraction of the boundary conditions and the boundary ports in second-order field theories
- Energy-Based Control of Nonlinear Infinite-Dimensional Port-Hamiltonian Systems with Dissipation