Relay Control Design using Attractive Ellipsoids Method

Andrey Polyakov (1, 2) , Laurentiu Hetel (2) , Christophe Fiter (2, 3)

1 NON-A - Non-Asymptotic estimation for online systems
2 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
3 SyNeR - Systèmes Non Linéaires et à Retards

Based on the attractive ellipsoids method the problem of rejection of both matched and mismatched exogenous disturbances is studied for a linear plants controlled by the generalized relays. Some existing results about local stabiliz-ability as well as matching condition are refined for the system under consideration. The procedure of robust control design for optimal rejection of bounded exogenous disturbances is proposed. The theoretical results are supported with numerical simulations.

Domaines: Automatique

Andrey Polyakov, Laurentiu Hetel, Christophe Fiter. Relay Control Design using Attractive Ellipsoids Method. 56th IEEE Conference on Decision and Control, Dec 2017, Melbourne, Australia. ⟨hal-01589813⟩