Characterizations of Functional Observability, Functional Detectability and the Generalized Separation Principle

Junwei Cao; Bin Zhou

doi:10.1109/FASTA70174.2026.11548885

Characterizations of Functional Observability, Functional Detectability and the Generalized Separation Principle

Junwei Cao
, Bin Zhou

School of Astronautics

Harbin Institute of Technology
National Key Laboratory of Complex System Control and Intelligent Agent Cooperation

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Functional observability and functional detectability are two important concepts in modern control theory, widely applied in fields such as high-dimensional and complex systems. In this paper, new PBH-like tests for functional observability and functional detectability of a special class of systems are provided. Moreover, the paper provides a characterization of the generalized separation principle from a geometric perspective. This offers fresh insights for the existence conditions of functional observers.

Original language	English
Title of host publication	Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	445-449
Number of pages	5
ISBN (Electronic)	9798319547323
DOIs	https://doi.org/10.1109/FASTA70174.2026.11548885
State	Published - 2026
Event	5th Conference on Fully Actuated System Theory and Applications, FASTA 2026 - Qinhuangdao, China Duration: 22 May 2026 → 24 May 2026

Publication series

Name	Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026

Conference

Conference	5th Conference on Fully Actuated System Theory and Applications, FASTA 2026
Country/Territory	China
City	Qinhuangdao
Period	22/05/26 → 24/05/26

Keywords

functional detectability
Functional observability
generalized separation principle
PBH test

Access to Document

10.1109/FASTA70174.2026.11548885

Cite this

Cao, J., & Zhou, B. (2026). Characterizations of Functional Observability, Functional Detectability and the Generalized Separation Principle. In Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026 (pp. 445-449). (Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/FASTA70174.2026.11548885

Cao, Junwei ; Zhou, Bin. / Characterizations of Functional Observability, Functional Detectability and the Generalized Separation Principle. Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026. Institute of Electrical and Electronics Engineers Inc., 2026. pp. 445-449 (Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026).

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abstract = "Functional observability and functional detectability are two important concepts in modern control theory, widely applied in fields such as high-dimensional and complex systems. In this paper, new PBH-like tests for functional observability and functional detectability of a special class of systems are provided. Moreover, the paper provides a characterization of the generalized separation principle from a geometric perspective. This offers fresh insights for the existence conditions of functional observers.",

keywords = "functional detectability, Functional observability, generalized separation principle, PBH test",

author = "Junwei Cao and Bin Zhou",

note = "Publisher Copyright: {\textcopyright} 2026 IEEE.; 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026 ; Conference date: 22-05-2026 Through 24-05-2026",

year = "2026",

doi = "10.1109/FASTA70174.2026.11548885",

language = "英语",

series = "Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026",

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Cao, J & Zhou, B 2026, Characterizations of Functional Observability, Functional Detectability and the Generalized Separation Principle. in Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026. Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026, Institute of Electrical and Electronics Engineers Inc., pp. 445-449, 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026, Qinhuangdao, China, 22/05/26. https://doi.org/10.1109/FASTA70174.2026.11548885

Characterizations of Functional Observability, Functional Detectability and the Generalized Separation Principle. / Cao, Junwei; Zhou, Bin.
Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026. Institute of Electrical and Electronics Engineers Inc., 2026. p. 445-449 (Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - Functional observability and functional detectability are two important concepts in modern control theory, widely applied in fields such as high-dimensional and complex systems. In this paper, new PBH-like tests for functional observability and functional detectability of a special class of systems are provided. Moreover, the paper provides a characterization of the generalized separation principle from a geometric perspective. This offers fresh insights for the existence conditions of functional observers.

KW - functional detectability

KW - Functional observability

KW - generalized separation principle

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PB - Institute of Electrical and Electronics Engineers Inc.

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Cao J, Zhou B. Characterizations of Functional Observability, Functional Detectability and the Generalized Separation Principle. In Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026. Institute of Electrical and Electronics Engineers Inc. 2026. p. 445-449. (Proceedings of the 5th Conference on Fully Actuated System Theory and Applications, FASTA 2026). doi: 10.1109/FASTA70174.2026.11548885

Characterizations of Functional Observability, Functional Detectability and the Generalized Separation Principle

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