Parallel-triggered observer-based output feedback stabilization of linear systems

Zhiying Wu; Wei Ren; Junlin Xiong; Min Xie

doi:10.1016/j.ifacol.2020.12.392

Parallel-triggered observer-based output feedback stabilization of linear systems

Zhiying Wu, Wei Ren, Junlin Xiong^*, Min Xie

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Abstract

Based on the parallel-triggered scheme, the stabilization problem is investigated for linear systems. By utilizing both the absolute and relative errors, a continuous parallel-triggered scheme is proposed. The proposed scheme reduces the number of data transmissions as well as maintains control performance. Under the proposed scheme, Zeno behavior can be excluded. Then, by using Lyapunov theory, sufficient criteria are established for the existence of state feedback controller and the observer-based controller. Next, a co-design approach is provided to obtain both weighting matrix of the triggered scheme and the gain of controller. Finally, the superiority of the proposed scheme is demonstrated by a numerical example.

Original language	English
Pages (from-to)	4428-4433
Journal	IFAC-PapersOnLine
Volume	53
Issue number	2
DOIs	https://doi.org/10.1016/j.ifacol.2020.12.392
Publication status	Published - Nov 2020
Event	21st IFAC World Congress 2020 - Berlin, Germany Duration: 12 Jul 2020 → 17 Jul 2020 https://www.ifac-control.org/events/ifac-world-congress-21th-wc-2020

Research Keywords

Co-design
Event-triggered scheme
Observer
Stabilization

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This full text is made available under CC-BY-NC-ND 4.0. https://creativecommons.org/licenses/by-nc-nd/4.0/

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title = "Parallel-triggered observer-based output feedback stabilization of linear systems",

abstract = "Based on the parallel-triggered scheme, the stabilization problem is investigated for linear systems. By utilizing both the absolute and relative errors, a continuous parallel-triggered scheme is proposed. The proposed scheme reduces the number of data transmissions as well as maintains control performance. Under the proposed scheme, Zeno behavior can be excluded. Then, by using Lyapunov theory, sufficient criteria are established for the existence of state feedback controller and the observer-based controller. Next, a co-design approach is provided to obtain both weighting matrix of the triggered scheme and the gain of controller. Finally, the superiority of the proposed scheme is demonstrated by a numerical example.",

keywords = "Co-design, Event-triggered scheme, Observer, Stabilization",

author = "Zhiying Wu and Wei Ren and Junlin Xiong and Min Xie",

year = "2020",

month = nov,

doi = "10.1016/j.ifacol.2020.12.392",

language = "English",

volume = "53",

pages = "4428--4433",

journal = "IFAC-PapersOnLine",

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publisher = "IFAC Secretariat",

number = "2",

note = "21st IFAC World Congress 2020 ; Conference date: 12-07-2020 Through 17-07-2020",

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T1 - Parallel-triggered observer-based output feedback stabilization of linear systems

AU - Wu, Zhiying

AU - Ren, Wei

AU - Xiong, Junlin

AU - Xie, Min

PY - 2020/11

Y1 - 2020/11

N2 - Based on the parallel-triggered scheme, the stabilization problem is investigated for linear systems. By utilizing both the absolute and relative errors, a continuous parallel-triggered scheme is proposed. The proposed scheme reduces the number of data transmissions as well as maintains control performance. Under the proposed scheme, Zeno behavior can be excluded. Then, by using Lyapunov theory, sufficient criteria are established for the existence of state feedback controller and the observer-based controller. Next, a co-design approach is provided to obtain both weighting matrix of the triggered scheme and the gain of controller. Finally, the superiority of the proposed scheme is demonstrated by a numerical example.

AB - Based on the parallel-triggered scheme, the stabilization problem is investigated for linear systems. By utilizing both the absolute and relative errors, a continuous parallel-triggered scheme is proposed. The proposed scheme reduces the number of data transmissions as well as maintains control performance. Under the proposed scheme, Zeno behavior can be excluded. Then, by using Lyapunov theory, sufficient criteria are established for the existence of state feedback controller and the observer-based controller. Next, a co-design approach is provided to obtain both weighting matrix of the triggered scheme and the gain of controller. Finally, the superiority of the proposed scheme is demonstrated by a numerical example.

KW - Co-design

KW - Event-triggered scheme

KW - Observer

KW - Stabilization

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DO - 10.1016/j.ifacol.2020.12.392

M3 - RGC 21 - Publication in refereed journal

SN - 2405-8963

VL - 53

SP - 4428

EP - 4433

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 2

T2 - 21st IFAC World Congress 2020

Y2 - 12 July 2020 through 17 July 2020

ER -

Parallel-triggered observer-based output feedback stabilization of linear systems

Abstract

Research Keywords

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