Un séminaire sera donné par le Professeur A.J. van der Schaft, de l’Université de Groningen , professeur invité au LAGEP ce jeudi 19 octobre 2017 à 14:00 en salle G111 .

Le titre et résumé de ce séminaire sont :
Title: Stabilization of optimal supply-demand values for power networks

Abstract: Key constraint in the control of power networks is supply-demand matching, where the total consumed power is equal to the total generated power. Optimization of the so-called social welfare function under the constraint of supply-demand matching leads to an optimal set-point for the operation of the power network. Continuous-time implementation of the primal-dual gradient algorithm converging to this optimal set-point defines a distributed dynamical controller for the physical power network. It will be shown that the optimal set-point is an asymptotically stable equilibrium of the resulting closed-loop system. Main idea in the proof is the port-Hamiltonian modeling of the physical network, as well as of the primal-dual gradient controller, leading to an insightful Lyapunov function.