Interval Predictors for a Class of Uncertain Discrete-Time Systems

Nacim Meslem (1) , John Jairo Martinez Molina (2)

1 GIPSA-MODUS - GIPSA - Modelling and Optimal Decision for Uncertain Systems
2 GIPSA-SAFE - GIPSA - Safe, Controlled and Monitored Systems

This work presents set-valued algorithms to compute tight interval predictions of the state trajectories for a class of uncertain dynamical systems,where the dynamics is described as a sum of a linear and a nonlinear term. Based on interval analysis and the analytic expression of the state response of discrete-time linear systems, non-conservative numerical schemes are proposed. Moreover, under some stability conditions, the convergence of the width of the predicted state enclosures is proved. The performance of the proposed set-valued algorithms is illustrated through two numerical examples, and the results are compared to that obtained with another method selected from the literature.

Mots clés: reachability analysis; interval analysis; uncertain systems; set-membership techniques

Domaines: Automatique / Robotique

Nacim Meslem, John Jairo Martinez Molina. Interval Predictors for a Class of Uncertain Discrete-Time Systems. Acta Cybernetica, 2020, Special Issue of the 11th Summer Workshop on Interval Methods, 24 (3), pp.493-508. ⟨10.14232/actacyb.24.3.2020.12⟩. ⟨hal-02408714⟩