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 Raïssi (2) , Messaoud Amairi (1)

1 ENIG - Ecole Nationale d'Ingénieurs de Gabès
2 CEDRIC - LAETITIA - CEDRIC. Traitement du signal et architectures électroniques
3 HIT - Harbin Institute of Technology

This letter 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 ∞ 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.

Domains: Automatic

Monia Dkhil, Thach Ngoc Dinh, Zhenhua Wang, Tarek Raïssi, Messaoud Amairi. Interval estimation for discrete-time switched linear systems based on $L_\infty$ observer and ellipsoid analysis. IEEE Control Systems Letters, 2021, 5 (1), pp.13-18. ⟨10.1109/LCSYS.2020.2999043⟩. ⟨hal-02615000⟩