Interval estimation for discrete-time switched linear systems based on $L_\infty$ observer and ellipsoid analysis - Archive ouverte HAL Access content directly
Journal Articles IEEE Control Systems Letters Year : 2021

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

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Monia Dkhil
• Function : Author
Thach Ngoc Dinh
Zhenhua Wang
• Function : Author
Tarek Raïssi
Messaoud Amairi
• Function : Author
• PersonId : 1011065

#### Abstract

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

Engineering Sciences [physics] Automatic

### Dates and versions

hal-02615000 , version 1 (07-03-2022)

### Identifiers

• HAL Id : hal-02615000 , version 1
• DOI :

### Cite

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⟩

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