Fast interval estimation for discrete-time linear systems: An $L_1$ optimization method - Cnam - Conservatoire national des arts et métiers Access content directly
Journal Articles Automatica Year : 2022

Fast interval estimation for discrete-time linear systems: An $L_1$ optimization method

Abstract

This paper studies interval estimation for discrete-time linear systems with unknown but bounded disturbances. Inspired by the parity space approach, we propose a point estimator with fixed-time convergence property. The estimator is combined with the zonotope-based interval analysis to achieve fast interval estimation. The parameter matrix in the estimator is optimized by minimizing the length of the edges of the outer box of the error zonotope. It is formulated as L1 optimization problem and can be efficiently solved by linear programming. Comparison studies illustrate the superiority of the proposed method over existing techniques.
Fichier principal
Vignette du fichier
Automatica2021_Fast_interval.pdf (127.53 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03346716 , version 1 (09-12-2021)

Identifiers

Cite

Zhenhua Wang, Thach Ngoc Dinh, Qinghua Zhang, Tarek Raissi, Yi Shen. Fast interval estimation for discrete-time linear systems: An $L_1$ optimization method. Automatica, 2022, 137, pp.110029. ⟨10.1016/j.automatica.2021.110029⟩. ⟨hal-03346716⟩
137 View
107 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More