Delayed Sliding Mode Observer Design for Linear Systems with Unknown Inputs and Measurement delays

Jing Xu; Emilia Fridman; Leonid M. Fridman; Yugang Niu

doi:10.1109/VSS57184.2022.9902080

Delayed Sliding Mode Observer Design for Linear Systems with Unknown Inputs and Measurement delays

Jing Xu, Emilia Fridman, Leonid M. Fridman, Yugang Niu

School of Electrical Engineering

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

Abstract

This paper proposes a delayed sliding mode observer (DSMO) for the robust estimation of linear systems with bounded unknown inputs and measurement delays. In the DSMO, a static proportional minus delay output feedback loop is artificially incorporated, and an addictive switching delayed sliding mode injection is also introduced to achieve the convergence of estimation errors. The proposed DSMO permits both periodic and aperiodic measurements in output feedback loops, which improves the design flexibility with low-cost sensors. In simulation, an example of a magnetic levitation system is used to illustrate the merits of DSMOs.

Original language	English
Title of host publication	2022 16th International Workshop on Variable Structure Systems, VSS 2022
Publisher	IEEE Computer Society
Pages	83-88
Number of pages	6
ISBN (Electronic)	9781665463591
DOIs	https://doi.org/10.1109/VSS57184.2022.9902080
State	Published - 2022
Event	16th International Workshop on Variable Structure Systems, VSS 2022 - Rio de Janeiro, Brazil Duration: 11 Sep 2022 → 14 Sep 2022

Publication series

Name	Proceedings of IEEE International Workshop on Variable Structure Systems
Volume	2022-September
ISSN (Print)	2165-4816
ISSN (Electronic)	2165-4824

Conference

Conference	16th International Workshop on Variable Structure Systems, VSS 2022
Country/Territory	Brazil
City	Rio de Janeiro
Period	11/09/22 → 14/09/22

Funding

Funders	Funder number
Natural Science Foundation of Shanghai	22ZR1417900
National Natural Science Foundation of China	62173141
Consejo Nacional de Ciencia y Tecnología	IN106622, 282013

Keywords

State estimation
sliding mode observers
time delays

Access to Document

10.1109/VSS57184.2022.9902080

Cite this

Xu, J., Fridman, E., Fridman, L. M., & Niu, Y. (2022). Delayed Sliding Mode Observer Design for Linear Systems with Unknown Inputs and Measurement delays. In 2022 16th International Workshop on Variable Structure Systems, VSS 2022 (pp. 83-88). (Proceedings of IEEE International Workshop on Variable Structure Systems; Vol. 2022-September). IEEE Computer Society. https://doi.org/10.1109/VSS57184.2022.9902080

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title = "Delayed Sliding Mode Observer Design for Linear Systems with Unknown Inputs and Measurement delays",

abstract = "This paper proposes a delayed sliding mode observer (DSMO) for the robust estimation of linear systems with bounded unknown inputs and measurement delays. In the DSMO, a static proportional minus delay output feedback loop is artificially incorporated, and an addictive switching delayed sliding mode injection is also introduced to achieve the convergence of estimation errors. The proposed DSMO permits both periodic and aperiodic measurements in output feedback loops, which improves the design flexibility with low-cost sensors. In simulation, an example of a magnetic levitation system is used to illustrate the merits of DSMOs.",

keywords = "State estimation, sliding mode observers, time delays",

author = "Jing Xu and Emilia Fridman and Fridman, {Leonid M.} and Yugang Niu",

note = "Publisher Copyright: {\textcopyright} 2022 IEEE.; 16th International Workshop on Variable Structure Systems, VSS 2022 ; Conference date: 11-09-2022 Through 14-09-2022",

year = "2022",

doi = "10.1109/VSS57184.2022.9902080",

language = "אנגלית",

series = "Proceedings of IEEE International Workshop on Variable Structure Systems",

publisher = "IEEE Computer Society",

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Xu, J, Fridman, E, Fridman, LM & Niu, Y 2022, Delayed Sliding Mode Observer Design for Linear Systems with Unknown Inputs and Measurement delays. in 2022 16th International Workshop on Variable Structure Systems, VSS 2022. Proceedings of IEEE International Workshop on Variable Structure Systems, vol. 2022-September, IEEE Computer Society, pp. 83-88, 16th International Workshop on Variable Structure Systems, VSS 2022, Rio de Janeiro, Brazil, 11/09/22. https://doi.org/10.1109/VSS57184.2022.9902080

Delayed Sliding Mode Observer Design for Linear Systems with Unknown Inputs and Measurement delays. / Xu, Jing; Fridman, Emilia; Fridman, Leonid M. et al.
2022 16th International Workshop on Variable Structure Systems, VSS 2022. IEEE Computer Society, 2022. p. 83-88 (Proceedings of IEEE International Workshop on Variable Structure Systems; Vol. 2022-September).

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

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AB - This paper proposes a delayed sliding mode observer (DSMO) for the robust estimation of linear systems with bounded unknown inputs and measurement delays. In the DSMO, a static proportional minus delay output feedback loop is artificially incorporated, and an addictive switching delayed sliding mode injection is also introduced to achieve the convergence of estimation errors. The proposed DSMO permits both periodic and aperiodic measurements in output feedback loops, which improves the design flexibility with low-cost sensors. In simulation, an example of a magnetic levitation system is used to illustrate the merits of DSMOs.

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Delayed Sliding Mode Observer Design for Linear Systems with Unknown Inputs and Measurement delays

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