On the Reachable Set of Uncertain Closed Loop Discrete-Time Linear Systems

Nacim Meslem (1) , Thao Dang (2)

1 GIPSA-MODUS - GIPSA - Modelling and Optimal Decision for Uncertain Systems
2 VERIMAG - IMAG - VERIMAG

This work tackles the reachability problem of uncertain discrete-time linear systems controlled by estimated state feedback regulators. First an augmented system is considered in order to include the effect of the estimation error on the behavior of the closed loop system. Then, based on interval analysis, an interval predictor is proposed to compute tight trajectory tubes that contain in a guaranteed way the actual state trajectory of the augmented system. Moreover, under the standard controllability and observability assumptions of linear systems, the convergence of the width of these trajectory tubes is shown.

Mots clés: Uncertain linear systems; closed-loop systems; estimated state feedback control; reachability analysis; interval analysis; interval estimators

Domaines: Automatique

Nacim Meslem, Thao Dang. On the Reachable Set of Uncertain Closed Loop Discrete-Time Linear Systems. IFAC WC 2020 - 21st IFAC World Congress, Jul 2020, Berlin (virtual), Germany. ⟨hal-03035743⟩