A Class of Discrete-Time Port-Hamiltonian Systems. Modelling and Control Design

Dear colleagues,

This is a kind reminder that the next PH Seminar talk is tomorrow 04.06.25 at 4 pm (CEST) by

Alessandro Macchelli (University of Bologna)

Title: A Class of Discrete-Time Port-Hamiltonian Systems. Modelling and Control Design


Abstract: In this talk, we present a general approach to derive discrete-time approximations of lumped and distributed-parameter port-Hamiltonian systems. Since the goal is to preserve passivity, the key ingredient has been to replace the gradient of the Hamiltonian function that appears in the continuous-time dynamics with a discrete gradient. In this way, the discrete-time approximation inherits the passivity of the initial continuous-time dynamics. In finite dimensions, the result is a state equation in implicit form, while for linear boundary control systems, we obtain a boundary-value problem to be solved at each step. In both cases, the well-posedness of the resulting discrete-time dynamics is discussed. Regarding control design, the continuous-time energy-shaping plus damping injection technique is extended to the discrete-time scenario. In the final part of the talk, we briefly discuss the problem of coupling the digital controller with the continuous-time plant and the use of such models in a model predictive control scheme.


Join via the Zoom link
Meeting-ID: 687 5689 8101
Password: mV0dd94q
--
FROM 202.120.11.*