Skip to Main content Skip to Navigation
Conference papers

Interval estimation for discrete-time switched linear systems based on $L_\infty$ observer and ellipsoid analysis

Monia Dkhil 1 Thach Ngoc Dinh 2 Zhenhua Wang 3 Tarek Raissi 2 Messaoud Amairi 1
1 Modélisation, Analyse et Commande de Systèmes - MACS (Gabès, Tunisie)
2 CEDRIC - LAETITIA - CEDRIC. Traitement du signal et architectures électroniques
CEDRIC - Centre d'études et de recherche en informatique et communications
3 HIT - Harbin Institute of Technology
Abstract : This paper proposes a two-step interval estimation method for discrete-time switched linear systems with unknown but bounded uncertainties. Based on the ellipsoidal analysis, the proposed estimator provides upper and lower bounds of the system state with high computational analysis. The size of the obtained ellipsoids is minimized using the trace criterion. The idea of introducing an $L_\infty$ performance is also employed in order to improve the estimation accuracy. Its design conditions are given in terms of Linear Matrix Inequalities (LMIs). Finally, a numerical example emphasizes the effectiveness of the contribution.
Keywords : Interval estimation ellipsoid switched linear systems L1 performance.
Document type :
Conference papers
Complete list of metadata
https://hal-cnam.archives-ouvertes.fr/hal-02900676
Contributor : Thach Ngoc Dinh Connect in order to contact the contributor
Submitted on : Thursday, July 16, 2020 - 12:32:30 PM
Last modification on : Saturday, July 18, 2020 - 3:16:44 AM

Identifiers

  • HAL Id : hal-02900676, version 1

Collections

CNAM | TDS-MACS | CEDRIC-CNAM | UNIV-HESAM

Citation

Monia Dkhil, Thach Ngoc Dinh, Zhenhua Wang, Tarek Raissi, Messaoud Amairi. Interval estimation for discrete-time switched linear systems based on $L_\infty$ observer and ellipsoid analysis. 59th IEEE Conference on Decision and Control, Dec 2020, Jeju Island, South Korea. ⟨hal-02900676⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

176