Tight interval state estimate for discrete‐time descriptor linear systems

Summary In this work, two state estimation methods are proposed for a class of discrete‐time descriptor linear systems subject to bounded uncertainties. First, we propose set‐valued estimator algorithm using symmetric boxes to compute rigorous bounds of the system states. The observer gains are calc...

Full description

Saved in:
Bibliographic Details
Published in:International journal of robust and nonlinear control 2024-05, Vol.34 (8), p.5306-5328
Main Authors: Lamouchi, Rihab, Meslem, Nacim, Raïssi, Tarek
Format: Article
Language:English
Subjects:
Algorithms
descriptor systems
Discrete time systems
Engineering Sciences
interval analysis
Linear systems
L∞$$ {L}_{\infty } $$ norm
set‐membership state estimators
State estimation
Uncertainty
zonotopic set computation
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Summary In this work, two state estimation methods are proposed for a class of discrete‐time descriptor linear systems subject to bounded uncertainties. First, we propose set‐valued estimator algorithm using symmetric boxes to compute rigorous bounds of the system states. The observer gains are calculated using L∞$$ {L}_{\infty } $$ norm to attenuate the effects of the uncertainties and to improve the accuracy of the proposed estimator. Second, to obtain tighter state enclosures, zonotopic set computation are developed instead of interval analysis to design a new set‐valued state estimation algorithm. The performances of the proposed state estimation approaches are highlighted on different illustrative examples.
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.7265