Stabilization of Persistently Excited Linear Systems by Delayed Feedback Laws

Guilherme Mazanti (1)

1 GECO - Geometric Control Design

This paper considers the stabilization to the origin of a persistently excited linear system by means of a linear state feedback, where we suppose that the feedback law is not applied instantaneously, but after a certain positive delay (not necessarily constant). The main result is that, under certain spectral hypotheses on the linear system, stabilization by means of a linear delayed feedback is indeed possible, generalizing a previous result already known for non-delayed feedback laws.

Mots clés: stabilization; switched systems; persistent excitation; delayed systems

Domaines: Optimisation et contrôle [math.OC]; Automatique / Robotique

Guilherme Mazanti. Stabilization of Persistently Excited Linear Systems by Delayed Feedback Laws. 2013. ⟨hal-00850971v1⟩