Energy-based Control and Observer Design for higher-order infinite-dimensional Port-Hamiltonian Systems
arXiv:2104.09329 · doi:10.1016/j.ifacol.2021.11.053
Abstract
In this paper, we present a control-design method based on the energy-Casimir method for infinite-dimensional, boundary-actuated port-Hamiltonian systems with two-dimensional spatial domain and second-order Hamiltonian. The resulting control law depends on distributed system states that cannot be measured, and therefore, we additionally design an infinite-dimensional observer by exploiting the port-Hamiltonian system representation. A Kirchhoff-Love plate serves as an example in order to demonstrate the proposed approaches.
9 pages, 5 figures
References in corpus (5)
- Port-Hamiltonian formulation and symplectic discretization of Plate models. Part I : Mindlin model for thick plates
- Port-Hamiltonian formulation and symplectic discretization of plate models. Part II : Kirchhoff model for thin plates
- On the extraction of the boundary conditions and the boundary ports in second-order field theories
- Stability Analysis of the Observer Error of an In-Domain Actuated Vibrating String
- Energy-Based Control of Nonlinear Infinite-Dimensional Port-Hamiltonian Systems with Dissipation