Periodic event-based robust output regulation for a class of uncertain linear systems with inter-event analysis

Shimin WANG; Zhan SHU; Tongwen CHEN; Zhiyong CHEN

doi:10.1016/j.automatica.2023.110899

Periodic event-based robust output regulation for a class of uncertain linear systems with inter-event analysis

Shimin WANG
, Zhan SHU
, Tongwen CHEN
, Zhiyong CHEN^*

^*Corresponding author for this work

Research output: Journal Publications › Journal Article (refereed) › peer-review

4 Citations (Scopus)

Abstract

This paper investigates the robust output regulation problem of uncertain linear systems by using a periodic event-triggered controller. A new type of event triggers based on local sampled signals is proposed to monitor events. An event detector only uses local information, avoiding infinitesimal inter-event times as in some continuous event-triggered schemes. A periodic event-triggered system naturally excludes Zeno behavior as the system operates at discrete-time instants. Convergence of tracking error holds for a class of decreasing triggering positive functions. When exponential functions bound the triggering function, analytical characterization of the relationship among sampling, event triggering, and inter-event behavior is established.

Original language	English
Article number	110899
Number of pages	9
Journal	Automatica
Volume	151
Early online date	24 Feb 2023
DOIs	https://doi.org/10.1016/j.automatica.2023.110899
Publication status	Published - May 2023
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2023

Funding

This work was supported by NSERC, Canada , and an Alberta EDT Major Innovation Fund, Canada . The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Yasuaki Oishi under the direction of Editor Sophie Tarbouriech.

Keywords

Event-triggered systems
Output regulation
Robust linear systems
Sampled-data control

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10.1016/j.automatica.2023.110899

Cite this

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abstract = "This paper investigates the robust output regulation problem of uncertain linear systems by using a periodic event-triggered controller. A new type of event triggers based on local sampled signals is proposed to monitor events. An event detector only uses local information, avoiding infinitesimal inter-event times as in some continuous event-triggered schemes. A periodic event-triggered system naturally excludes Zeno behavior as the system operates at discrete-time instants. Convergence of tracking error holds for a class of decreasing triggering positive functions. When exponential functions bound the triggering function, analytical characterization of the relationship among sampling, event triggering, and inter-event behavior is established.",

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AU - WANG, Shimin

AU - SHU, Zhan

AU - CHEN, Tongwen

AU - CHEN, Zhiyong

PY - 2023/5

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N2 - This paper investigates the robust output regulation problem of uncertain linear systems by using a periodic event-triggered controller. A new type of event triggers based on local sampled signals is proposed to monitor events. An event detector only uses local information, avoiding infinitesimal inter-event times as in some continuous event-triggered schemes. A periodic event-triggered system naturally excludes Zeno behavior as the system operates at discrete-time instants. Convergence of tracking error holds for a class of decreasing triggering positive functions. When exponential functions bound the triggering function, analytical characterization of the relationship among sampling, event triggering, and inter-event behavior is established.

AB - This paper investigates the robust output regulation problem of uncertain linear systems by using a periodic event-triggered controller. A new type of event triggers based on local sampled signals is proposed to monitor events. An event detector only uses local information, avoiding infinitesimal inter-event times as in some continuous event-triggered schemes. A periodic event-triggered system naturally excludes Zeno behavior as the system operates at discrete-time instants. Convergence of tracking error holds for a class of decreasing triggering positive functions. When exponential functions bound the triggering function, analytical characterization of the relationship among sampling, event triggering, and inter-event behavior is established.

KW - Event-triggered systems

KW - Output regulation

KW - Robust linear systems

KW - Sampled-data control

UR - https://www.scopus.com/pages/publications/85148546100

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DO - 10.1016/j.automatica.2023.110899

M3 - Journal Article (refereed)

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SN - 0005-1098

VL - 151

JO - Automatica

JF - Automatica

M1 - 110899

ER -

Periodic event-based robust output regulation for a class of uncertain linear systems with inter-event analysis

Abstract

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Keywords

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