Periodic orbits in planar linear systems with input saturation

Thomas Lathuiliere (1) , Giorgio Valmorbida (1) , Elena Panteley (1)

1 L2S - Laboratoire des signaux et systèmes

We present sufficient conditions for the existence of periodic orbits of saturating planar systems. We characterize inner and outer sets bounding the periodic orbits. A method to build these bounds, based on the solution to a convex optimization problem, is proposed and illustrated with numerical examples.

Domaines: Automatique / Robotique

Thomas Lathuiliere, Giorgio Valmorbida, Elena Panteley. Periodic orbits in planar linear systems with input saturation. IEEE Control Systems Letters, 2018, 2 (3), pp.435-440. ⟨10.1109/LCSYS.2018.2841807⟩. ⟨hal-01811047⟩