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A distributed set-membership estimator for linear systems considering multi-hop subspace decomposition

Authors

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

External publication

No

Means

IFAC-PapersOnLine

Scope

Proceedings Paper

Nature

Científica

JCR Quartile

SJR Quartile

SJR Impact

0.308

Publication date

01/01/2020

ISI

000652592500671

Scopus Id

2-s2.0-85107819893

Abstract

This paper presents a distributed set-membership estimator for linear full-coupled systems affected by bounded disturbances. The estimator makes use of a recently developed multi-hop subspace decomposition of the system that allows to transform the dynamic matrix into an upper triangular matrix, decoupling the influence of the non-observable modes to the observable ones. This way, each agent has to compute sets to encompass the observable dynamics on the one hand, and the unobservable dynamics on the other. The sets are mathematically described by zonotopes. Due to the multi-hop decomposition, the agents are able to design different gains for the observable and the unobservable part, pursuing the reduction in volume of the corresponding sets. The paper presents the solution for the two-agents case. Simulations are given to compare the proposed solution with existing ones in the field. Copyright (C) 2020 The Authors.

Keywords

Distributed set-membership estimation; Multi-agent systems; Linear system; Guaranteed estimation; Zonotopes