A Behavioral Approach to Estimation in the Presence of Disturbances

A Behavioral Approach to Estimation in the Presence of Disturbances

In this article, we study the problem of estimation in the presence of disturbances within the context of the behavioral approach developed by J.C. Willems. For this purpose, we use the behavioral theory of observers introduced by Valcher, Willems, Trentelman, and Trumpf, combined with the notions o...

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Bibliographic Details
Main Authors: Pereira, R., Rocha, P., Ntogramatzidis, Lorenzo
Format: Journal Article
Language:English
Published: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC 2021
Subjects:
Science & Technology
Technology
Automation & Control Systems
Engineering, Electrical & Electronic
Engineering
Blockchain
Companies
Supply chains
Industrial engineering
Reliability
History
Behavior
conditioned invariance
detectability
disturbance
estimation
invariance
observer
DETECTABILITY
Online Access:http://purl.org/au-research/grants/arc/DP190102478
http://hdl.handle.net/20.500.11937/90974
Description
Summary:In this article, we study the problem of estimation in the presence of disturbances within the context of the behavioral approach developed by J.C. Willems. For this purpose, we use the behavioral theory of observers introduced by Valcher, Willems, Trentelman, and Trumpf, combined with the notions of behavioral invariance, conditioned invariance, and behavioral detectability subspaces. With these tools, we provide necessary and sufficient conditions for the solvability of the aforementioned problem together with the construction of an estimator.

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