# [DMR19] Optimal interval observers for discrete-time linear switched systems

Revue Internationale avec comité de lecture : Journal International Journal of Control, pp. Electronically published on February 11, 2019, 2019, (doi: https://doi.org/10.1080/00207179.2019.1575518)

Mots clés: Interval observer; discrete-time; linear switched systems; LMI; Hinf design

Résumé: The main goal of this paper is to present a methodology to design interval observers for discrete-time linear switched systems affected by bounded, but unknown disturbances. Two design techniques are presented. The first one requires that the observation error dynamics are nonnegative while the second one relaxes this restrictive requirement by a change of coordinates. Furthermore, ideas of using $H_\infty$ formalism to compute optimal gains are proposed. Finally, illustrative examples highlight the performance of our methodology.

# BibTeX

 @article { DMR19, title = "{Optimal interval observers for discrete-time linear switched systems}", author = "T. Dinh and G. Marouani and T. Raïssi and Z. Wang and H. Messaoud", journal = "International Journal of Control", year = 2019, pages = "Electronically published on February 11, 2019", doi = " https://doi.org/10.1080/00207179.2019.1575518", }