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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
GIPSA-PAD - GIPSA Pôle Automatique et Diagnostic
2 GIPSA-SAFE - GIPSA - Safe, Controlled and Monitored Systems
GIPSA-PAD - GIPSA Pôle Automatique et Diagnostic
Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-02408714
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Submitted on : Friday, December 13, 2019 - 10:27:24 AM
Last modification on : Wednesday, November 3, 2021 - 6:02:13 AM

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Nacim Meslem, John Jairo Martinez Molina. Interval Predictors for a Class of Uncertain Discrete-Time Systems. Acta Cybernetica, University of Szeged, Institute of Informatics, 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⟩

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