State estimation of two-dimensional systems with bounded disturbances

Yahui Wang; Dong Zhao; Yueyang Li

doi:10.1109/CFASTA57821.2023.10243281

State estimation of two-dimensional systems with bounded disturbances

Yahui Wang
, Dong Zhao
, Yueyang Li^*

^*Corresponding author for this work

School of Cyber Science and Technology

University of Jinan

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

Abstract

This paper considers the state estimation problem of the two-dimensional Fomasini-Marchesini second (FM-II) model. To deal with the bounded disturbances, the quadratic boundedness is first defined for two-dimensional system described by the FM-II model and then used for the state observer design. By using the invariant set related to the defined quadratic boundedness, the upper bound of the estimation error is obtained, and a criterion for the quadratic stability of the estimation error dynamic systems is proposed. The expected observer gain matrix is obtained via linear matrix inequality technique. Simulation study is provided to verify the feasibility of the proposed method.

Original language	English
Title of host publication	Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	544-549
Number of pages	6
ISBN (Electronic)	9798350332162
DOIs	https://doi.org/10.1109/CFASTA57821.2023.10243281
State	Published - 2023
Event	2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023 - Qingdao, China Duration: 14 Jul 2023 → 16 Jul 2023

Publication series

Name	Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023

Conference

Conference	2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023
Country/Territory	China
City	Qingdao
Period	14/07/23 → 16/07/23

Keywords

asymptotically stable observer
quadratic boundedness
state estimation
two-dimensional systems

Access to Document

10.1109/CFASTA57821.2023.10243281

Cite this

Wang, Y., Zhao, D., & Li, Y. (2023). State estimation of two-dimensional systems with bounded disturbances. In Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023 (pp. 544-549). (Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CFASTA57821.2023.10243281

Wang, Yahui ; Zhao, Dong ; Li, Yueyang. / State estimation of two-dimensional systems with bounded disturbances. Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023. Institute of Electrical and Electronics Engineers Inc., 2023. pp. 544-549 (Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023).

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title = "State estimation of two-dimensional systems with bounded disturbances",

abstract = "This paper considers the state estimation problem of the two-dimensional Fomasini-Marchesini second (FM-II) model. To deal with the bounded disturbances, the quadratic boundedness is first defined for two-dimensional system described by the FM-II model and then used for the state observer design. By using the invariant set related to the defined quadratic boundedness, the upper bound of the estimation error is obtained, and a criterion for the quadratic stability of the estimation error dynamic systems is proposed. The expected observer gain matrix is obtained via linear matrix inequality technique. Simulation study is provided to verify the feasibility of the proposed method.",

keywords = "asymptotically stable observer, quadratic boundedness, state estimation, two-dimensional systems",

author = "Yahui Wang and Dong Zhao and Yueyang Li",

note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023 ; Conference date: 14-07-2023 Through 16-07-2023",

year = "2023",

doi = "10.1109/CFASTA57821.2023.10243281",

language = "英语",

series = "Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "544--549",

booktitle = "Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023",

address = "美国",

}

Wang, Y, Zhao, D & Li, Y 2023, State estimation of two-dimensional systems with bounded disturbances. in Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023. Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023, Institute of Electrical and Electronics Engineers Inc., pp. 544-549, 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023, Qingdao, China, 14/07/23. https://doi.org/10.1109/CFASTA57821.2023.10243281

State estimation of two-dimensional systems with bounded disturbances. / Wang, Yahui; Zhao, Dong; Li, Yueyang.
Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023. Institute of Electrical and Electronics Engineers Inc., 2023. p. 544-549 (Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023).

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

TY - GEN

T1 - State estimation of two-dimensional systems with bounded disturbances

AU - Wang, Yahui

AU - Zhao, Dong

AU - Li, Yueyang

PY - 2023

Y1 - 2023

N2 - This paper considers the state estimation problem of the two-dimensional Fomasini-Marchesini second (FM-II) model. To deal with the bounded disturbances, the quadratic boundedness is first defined for two-dimensional system described by the FM-II model and then used for the state observer design. By using the invariant set related to the defined quadratic boundedness, the upper bound of the estimation error is obtained, and a criterion for the quadratic stability of the estimation error dynamic systems is proposed. The expected observer gain matrix is obtained via linear matrix inequality technique. Simulation study is provided to verify the feasibility of the proposed method.

AB - This paper considers the state estimation problem of the two-dimensional Fomasini-Marchesini second (FM-II) model. To deal with the bounded disturbances, the quadratic boundedness is first defined for two-dimensional system described by the FM-II model and then used for the state observer design. By using the invariant set related to the defined quadratic boundedness, the upper bound of the estimation error is obtained, and a criterion for the quadratic stability of the estimation error dynamic systems is proposed. The expected observer gain matrix is obtained via linear matrix inequality technique. Simulation study is provided to verify the feasibility of the proposed method.

KW - asymptotically stable observer

KW - quadratic boundedness

KW - state estimation

KW - two-dimensional systems

UR - https://www.scopus.com/pages/publications/85173622654

U2 - 10.1109/CFASTA57821.2023.10243281

DO - 10.1109/CFASTA57821.2023.10243281

M3 - 会议稿件

AN - SCOPUS:85173622654

T3 - Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023

SP - 544

EP - 549

BT - Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023

Y2 - 14 July 2023 through 16 July 2023

ER -

Wang Y, Zhao D, Li Y. State estimation of two-dimensional systems with bounded disturbances. In Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023. Institute of Electrical and Electronics Engineers Inc. 2023. p. 544-549. (Proceedings of the 2nd Conference on Fully Actuated System Theory and Applications, CFASTA 2023). doi: 10.1109/CFASTA57821.2023.10243281

State estimation of two-dimensional systems with bounded disturbances

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