Fixed-Time Event-Triggered Stabilization of High-Order Nonlinear Systems With Asymmetric Output Constraints

This paper presents the issue of a new fixed-time event-triggered control strategy for a class of high-order uncertain nonlinear systems with asymmetric output constraints. The key technique of this paper is to employ a new event-triggered strategy by combining the Barrier Lyapunov Function (BLF) an...

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Main Authors: Zhaoyang Han, Jiao-Jiao Li, Xian-Long Yin, Yongpeng Ma, Shiji Ren
Format: Article
Language:English
Published: IEEE 2024-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10802912/
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author Zhaoyang Han
Jiao-Jiao Li
Xian-Long Yin
Yongpeng Ma
Shiji Ren
author_facet Zhaoyang Han
Jiao-Jiao Li
Xian-Long Yin
Yongpeng Ma
Shiji Ren
author_sort Zhaoyang Han
collection DOAJ
description This paper presents the issue of a new fixed-time event-triggered control strategy for a class of high-order uncertain nonlinear systems with asymmetric output constraints. The key technique of this paper is to employ a new event-triggered strategy by combining the Barrier Lyapunov Function (BLF) and the power integral function of the embedded symbolic function. The approach employs a proof by contradiction to rigorously establish that the Zeno phenomenon is precluded from occurring. By circumventing the problem of non-differentiability at some discrete points, it avoids the necessity for the derivative of the event-triggered error. Moreover, the designed controller ensures the fixed-time stability of the system and also prevents the output from exceeding the preset constraints. Finally, based on numerical simulations, the effectiveness and superiority of the proposed control strategy are demonstrated through practical simulation examples and comparative experiments.
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institution DOAJ
issn 2169-3536
language English
publishDate 2024-01-01
publisher IEEE
record_format Article
series IEEE Access
spelling doaj-art-de8bb32c50e349b58d48c0d563ce5ceb2025-08-20T02:40:08ZengIEEEIEEE Access2169-35362024-01-011219125219126310.1109/ACCESS.2024.351847710802912Fixed-Time Event-Triggered Stabilization of High-Order Nonlinear Systems With Asymmetric Output ConstraintsZhaoyang Han0https://orcid.org/0009-0003-9117-2173Jiao-Jiao Li1https://orcid.org/0009-0009-4298-4339Xian-Long Yin2Yongpeng Ma3Shiji Ren4https://orcid.org/0009-0000-8690-7321Institute of Automation, Qufu Normal University, Qufu, ChinaInstitute of Automation, Qufu Normal University, Qufu, ChinaInstitute of Automation, Qufu Normal University, Qufu, ChinaInstitute of Automation, Qufu Normal University, Qufu, ChinaInstitute of Automation, Qufu Normal University, Qufu, ChinaThis paper presents the issue of a new fixed-time event-triggered control strategy for a class of high-order uncertain nonlinear systems with asymmetric output constraints. The key technique of this paper is to employ a new event-triggered strategy by combining the Barrier Lyapunov Function (BLF) and the power integral function of the embedded symbolic function. The approach employs a proof by contradiction to rigorously establish that the Zeno phenomenon is precluded from occurring. By circumventing the problem of non-differentiability at some discrete points, it avoids the necessity for the derivative of the event-triggered error. Moreover, the designed controller ensures the fixed-time stability of the system and also prevents the output from exceeding the preset constraints. Finally, based on numerical simulations, the effectiveness and superiority of the proposed control strategy are demonstrated through practical simulation examples and comparative experiments.https://ieeexplore.ieee.org/document/10802912/High-order uncertain nonlinear systemsfixed-time stabilityevent-triggeredasymmetric output constraintsBarrier Lyapunov Function (BLF)
spellingShingle Zhaoyang Han
Jiao-Jiao Li
Xian-Long Yin
Yongpeng Ma
Shiji Ren
Fixed-Time Event-Triggered Stabilization of High-Order Nonlinear Systems With Asymmetric Output Constraints
IEEE Access
High-order uncertain nonlinear systems
fixed-time stability
event-triggered
asymmetric output constraints
Barrier Lyapunov Function (BLF)
title Fixed-Time Event-Triggered Stabilization of High-Order Nonlinear Systems With Asymmetric Output Constraints
title_full Fixed-Time Event-Triggered Stabilization of High-Order Nonlinear Systems With Asymmetric Output Constraints
title_fullStr Fixed-Time Event-Triggered Stabilization of High-Order Nonlinear Systems With Asymmetric Output Constraints
title_full_unstemmed Fixed-Time Event-Triggered Stabilization of High-Order Nonlinear Systems With Asymmetric Output Constraints
title_short Fixed-Time Event-Triggered Stabilization of High-Order Nonlinear Systems With Asymmetric Output Constraints
title_sort fixed time event triggered stabilization of high order nonlinear systems with asymmetric output constraints
topic High-order uncertain nonlinear systems
fixed-time stability
event-triggered
asymmetric output constraints
Barrier Lyapunov Function (BLF)
url https://ieeexplore.ieee.org/document/10802912/
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AT xianlongyin fixedtimeeventtriggeredstabilizationofhighordernonlinearsystemswithasymmetricoutputconstraints
AT yongpengma fixedtimeeventtriggeredstabilizationofhighordernonlinearsystemswithasymmetricoutputconstraints
AT shijiren fixedtimeeventtriggeredstabilizationofhighordernonlinearsystemswithasymmetricoutputconstraints