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A distributed set-membership estimator for linear systems with reduced computational requirements

Authors

IERARDI, CARMELINA, ORIHUELA ESPINA, DIEGO LUIS, JURADO FLORES, ISABEL

External publication

No

Means

Automatica

Scope

Article

Nature

Científica

JCR Quartile

SJR Quartile

JCR Impact

6.15

SJR Impact

3.796

Publication date

12/10/2021

ISI

000689475700001

Scopus Id

2-s2.0-85110136326

Abstract

In this paper, a distributed set-membership estimator for linear full-coupled systems affected by bounded disturbances is presented. The estimator uses a multi-hop staircase decomposition, capturing the locally unobservable subspaces in a cascaded fashion with the information incoming from other agents involved in the network. Each agent has to find different sets for each subspace, that are mathematically described by zonotopes. The observer gains that minimize the size of those sets, i.e. the estimation uncertainty, can be designed in independent distributed steps by means of simple algebraic equations. Simulations are given to compare the proposed solution with others in the field. An important benefit of the proposed structure is the reduction of the computational requirements with respect to existing solutions. © 2021 Elsevier Ltd

Keywords

Distributed computer systems; Multi agent systems; Bounded disturbances; Computational requirements; Coupled systems; Distributed set-membership estimation; Multi-agents systems; Multi-hop decomposition; Multi-hops; Set-membership; Unobservable; Zonotopes; Linear systems