Discrete-Time Models for Implicit Port-Hamiltonian Systems
Systems and Control
2015-01-22 v1 Numerical Analysis
Dynamical Systems
Optimization and Control
Abstract
Implicit representations of finite-dimensional port-Hamiltonian systems are studied from the perspective of their use in numerical simulation and control design. Implicit representations arise when a system is modeled in Cartesian coordinates and when the system constraints are applied in the form of additional algebraic equations (the system model is in a DAE form). Such representations lend themselves better to sample-data approximations. An implicit representation of a port-Hamiltonian system is given and it is shown how to construct a sampled-data model that preserves the port-Hamiltonian structure under sample and hold.
Cite
@article{arxiv.1501.05097,
title = {Discrete-Time Models for Implicit Port-Hamiltonian Systems},
author = {Fernando Castaños and Hannah Michalska and Dmitry Gromov and Vincent Hayward},
journal= {arXiv preprint arXiv:1501.05097},
year = {2015}
}