MENU

You are here

Stabilization of Control Systems by Discontinuous Feedback Laws

Speaker: 
Fabio Ancona Dipartimento di Matematica e Ciram, Bologna
Institution: 
Schedule: 
Wednesday, February 24, 1999 - 06:30 to 07:30
Location: 
room L
Abstract: 

We are concerned with the problem of constructing discontinuous state feedbacks that asymptotically stabilize a nonlinear control system. We will first review the basic theory developed in the past few years. Next, we shall introduce a family of discontinuous, piecewise smooth vector fields and a class of "patchy feedbacks" which are obtained by patching together a locally finite family of smooth controls. Relying on the main properties of this class of feedback laws we will show that, if a system is asymptotically controllable at the origin, then it can be stabilized by a piecewise constant patchy feedback control. Robustness properties of such feedback with respect to external and internal perturbations will be also investigated.

Sign in