Zwart, Exponential stabilization of boundary controlled port-Hamiltonian systems with dynamic feedback. On the passivity based control of irreversible processes: a port-Hamiltonian approach. Boundary energy-shaping control of an isothermal tubular reactor, Mathematical and Computer Modelling of Dynamical Systems, 2017, vol 23 (1), pages 77-88. Automatic Control, IEEE Transactions on, vol. Partial stabilization of input-output contact systems on a Legendre submanifold. On the synthesis of boundary control laws for distributed port Hamiltonian systems. Stabilization of infinite dimensional port-Hamiltonian systems by nonlinear dynamic boundary control, Automatica, Volume 85, 2017, Pages 61-69.Ī. Finite differences on staggered grids preserving the port-Hamiltonian structure with application to an acoustic duct. Mathematical and Computer Modelling of Dynamical Systems. Fluid-Structure Port-Hamiltonian Model for Incompressible Flows in Pipes with Time Varying Geometries. Ramírez, Exponential Stabilization of Port-Hamiltonian Boundary Control Systems via Energy Shaping, Automatic Control, IEEE Transactions on, vol. Control Engineering Practice, Volume 101, 2020.Ī. Modelling and control of an IPMC actuated flexible structure: A lumped port Hamiltonian approach.
Observer-based boundary control of distributed port-Hamiltonian systems, Automatica, Volume 120, 2020.Ī. Port-Hamiltonian Modeling and Control of a Micro-Channel Experimental Plant. Structure-preserving discretization and control of a two-dimensional vibro-acoustic tube, IMA Journal of Mathematical Control and Information, Volume 38, Issue 2, June 2021, Pages 417–439. Energy-based fluid–structure model of the vocal folds, IMA Journal of Mathematical Control and Information, Volume 38, Issue 2, June 2021, Pages 466–492. Yuz, "On port-Hamiltonian formulations of 3-dimensional compressible Newtonian fluids", Physics of Fluids 33, 117117 (2021). Ramírez, "A Lyapunov Approach to Robust Regulation of Distributed Port–Hamiltonian Systems," in IEEE Transactions on Automatic Control, vol. Chemical Engineering Science, Volume 248, Part A, 2022, Pages 117107. Boundary controlled irreversible port-Hamiltonian systems. Le Gorrec, "Energy-Based Modeling and Hamiltonian LQG Control of a Flexible Beam Actuated by IPMC Actuators," in IEEE Access, vol. Ramirez, "Stabilization of Unstable Distributed Port-Hamiltonian Systems in Scattering Form," in IEEE Control Systems Letters, vol. Automatic Control, IEEE Transactions on, (accepted)Ī. Linear Matrix Inequality Design of Observer-Based Controllers for port-Hamiltonian Systems. Strategies to select an optimal number of snapshots except those with the largest singular values can be found in Sato and Igarashi (2013) and Klis et al. MOR with proper orthogonal decompsition (POD) has been applied to solve large scale linear problems in computational electromagnetics very successful.
Model order reduction (MOR) has proven to be a powerful methodology to reduce the costs and is well established for linear problems. The computational costs are a multiple of the costs of anisotropic models in brute force methods according to the components used in the multiscale formulation, compare with Hollaus and Schöberl (2017). Although the multiscale finite element method (MSFEM) can be exploited to simulate eddy currents in laminted iron more efficiently the complexity of the problems are still too large to solve them conveniently. However, the large systems to be solved result in high computational costs, i.e. The simulation of the eddy currents in electrical devices with the finite element method (FEM) is satisfactory.
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