Hybrid Dynamic Event-Triggered Interval Observer Design for Nonlinear Cyber–Physical Systems with Disturbance

This paper investigates the state estimation problem for nonlinear cyber–physical systems (CPSs). To conserve system resources, we propose a novel hybrid dynamic event-triggered mechanism (ETM) that prevents the occurrence of Zeno behavior. This work is based on designing an interval observer under...

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Main Authors: Hongrun Wu, Jun Huang, Yong Qin, Yuan Sun
Format: Article
Language:English
Published: MDPI AG 2025-01-01
Series:Fractal and Fractional
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Online Access:https://www.mdpi.com/2504-3110/9/2/86
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author Hongrun Wu
Jun Huang
Yong Qin
Yuan Sun
author_facet Hongrun Wu
Jun Huang
Yong Qin
Yuan Sun
author_sort Hongrun Wu
collection DOAJ
description This paper investigates the state estimation problem for nonlinear cyber–physical systems (CPSs). To conserve system resources, we propose a novel hybrid dynamic event-triggered mechanism (ETM) that prevents the occurrence of Zeno behavior. This work is based on designing an interval observer under the hybrid dynamic ETM to solve the state reconstruction problem of Lipschitz nonlinear CPSs subject to disturbances. That is, the designed triggering mechanism is integrated into the design of the Interval Observer (IO), resulting in a hybrid dynamic event-triggered interval observer (HDETIO), and the system stability and robustness are proved using a Lyapunov function, demonstrating that the observer can effectively provide interval estimation for CPSs with nonlinearity and disturbances. Compared to existing work, the primary contribution of this work is its ability to pre-specify the minimum inter-event time (MIET) and apply it to interval state estimation, enhancing its practicality for real-world physical systems. Finally, the correctness and effectiveness of the designed hybrid dynamic ETM and IO framework are validated with an example.
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spelling doaj-art-85aa778c49974f4e82fb4e0c43e2d1242025-08-20T03:12:08ZengMDPI AGFractal and Fractional2504-31102025-01-01928610.3390/fractalfract9020086Hybrid Dynamic Event-Triggered Interval Observer Design for Nonlinear Cyber–Physical Systems with DisturbanceHongrun Wu0Jun Huang1Yong Qin2Yuan Sun3School of Mechanical and Electrical Engineering, Soochow University, Suzhou 215137, ChinaSchool of Mechanical and Electrical Engineering, Soochow University, Suzhou 215137, ChinaSchool of Artificial Intelligence and Smart Manufacturing, Hechi University, Hechi 546300, ChinaSchool of Mechanical and Electrical Engineering, Soochow University, Suzhou 215137, ChinaThis paper investigates the state estimation problem for nonlinear cyber–physical systems (CPSs). To conserve system resources, we propose a novel hybrid dynamic event-triggered mechanism (ETM) that prevents the occurrence of Zeno behavior. This work is based on designing an interval observer under the hybrid dynamic ETM to solve the state reconstruction problem of Lipschitz nonlinear CPSs subject to disturbances. That is, the designed triggering mechanism is integrated into the design of the Interval Observer (IO), resulting in a hybrid dynamic event-triggered interval observer (HDETIO), and the system stability and robustness are proved using a Lyapunov function, demonstrating that the observer can effectively provide interval estimation for CPSs with nonlinearity and disturbances. Compared to existing work, the primary contribution of this work is its ability to pre-specify the minimum inter-event time (MIET) and apply it to interval state estimation, enhancing its practicality for real-world physical systems. Finally, the correctness and effectiveness of the designed hybrid dynamic ETM and IO framework are validated with an example.https://www.mdpi.com/2504-3110/9/2/86hybrid dynamic event-triggered mechanismcyber–physical systemsinterval state estimation
spellingShingle Hongrun Wu
Jun Huang
Yong Qin
Yuan Sun
Hybrid Dynamic Event-Triggered Interval Observer Design for Nonlinear Cyber–Physical Systems with Disturbance
Fractal and Fractional
hybrid dynamic event-triggered mechanism
cyber–physical systems
interval state estimation
title Hybrid Dynamic Event-Triggered Interval Observer Design for Nonlinear Cyber–Physical Systems with Disturbance
title_full Hybrid Dynamic Event-Triggered Interval Observer Design for Nonlinear Cyber–Physical Systems with Disturbance
title_fullStr Hybrid Dynamic Event-Triggered Interval Observer Design for Nonlinear Cyber–Physical Systems with Disturbance
title_full_unstemmed Hybrid Dynamic Event-Triggered Interval Observer Design for Nonlinear Cyber–Physical Systems with Disturbance
title_short Hybrid Dynamic Event-Triggered Interval Observer Design for Nonlinear Cyber–Physical Systems with Disturbance
title_sort hybrid dynamic event triggered interval observer design for nonlinear cyber physical systems with disturbance
topic hybrid dynamic event-triggered mechanism
cyber–physical systems
interval state estimation
url https://www.mdpi.com/2504-3110/9/2/86
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AT junhuang hybriddynamiceventtriggeredintervalobserverdesignfornonlinearcyberphysicalsystemswithdisturbance
AT yongqin hybriddynamiceventtriggeredintervalobserverdesignfornonlinearcyberphysicalsystemswithdisturbance
AT yuansun hybriddynamiceventtriggeredintervalobserverdesignfornonlinearcyberphysicalsystemswithdisturbance