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- Title
Interval Predictors for a Class of Uncertain Discrete-Time Systems.
- Authors
Meslem, Nacim; Martinez, John J.
- Abstract
This work presents set-valued algorithms to compute tight interval pre-dictions 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.
- Subjects
DISCRETE-time systems; UNCERTAIN systems; LINEAR systems; INTERVAL analysis; DYNAMICAL systems; LINEAR dynamical systems; NONLINEAR dynamical systems
- Publication
Acta Cybernetica, 2020, Vol 24, Issue 3, p493
- ISSN
0324-721X
- Publication type
Article
- DOI
10.14232/actacyb.24.3.2020.12