Prof. Jean-Michel Coron
Thursday, 23 March 2017, 4.15pm
ETH Zurich, HG E 5
Jean-Michel Coron, ETH-ITS and Université Pierre et Marie Curie
Stabilization of control systems: from the clepsydrae to the regulation of the rivers La Sambre and La Meuse
A control system is a dynamical system on which one can act by using controls. For these systems a fundamental problem is the stabilization issue: Is it possible to stabilize a given unstable equilibrium by using suitable feedback laws? (Think to the classical experiment of an upturned broomstick on the tip of one's finger.) On this problem, we present some pioneer devices and works (Ctesibius, Watt, Maxwell, Lyapunov...), some more recent results, and an application to the regulation of the rivers La Sambre and La Meuse in Belgium. Highlights are put on time-varying feedback laws as well as positive or negative effects of the nonlinearities.