Tóm tắt:

This work deals with port-Hamiltonian-based modelling of dynamical systems with application to electrical systems whose dynamics are affine in the control input. Two pH models of physical interest are proposed and compared, the first one is established with a series RLC circuit while the second one is obtained with a parallel RLC circuit. As the energy dissipation is due to the resistor, both models are associated with a quadratic Hamiltonian defining the total energy. Importantly, the circuit structure affects the pH formulation. Numerical simulations are carried out to illustrate the developed results.