Dynamic Event-Triggered Adaptive Tracking Control for a Class of Unknown Stochastic Nonlinear Strict-Feedback Systems

In this paper, the dynamic event-triggered tracking control issue is studied for a class of unknown stochastic nonlinear systems with strict-feedback form. At first, neural networks (NNs) are used to approximate the unknown nonlinear functions. Then, a dynamic event-triggered controller (DETC) is de...

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Main Authors: Yingying Fu, Jing Li, Shuiyan Wu, Xiaobo Li
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/9/1648
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spelling doaj-ba56f257a5c34d88872e08f286725bc92021-09-26T01:31:13ZengMDPI AGSymmetry2073-89942021-09-01131648164810.3390/sym13091648Dynamic Event-Triggered Adaptive Tracking Control for a Class of Unknown Stochastic Nonlinear Strict-Feedback SystemsYingying Fu0Jing Li1Shuiyan Wu2Xiaobo Li3School of Mathematics and Statistics, Xidian University, Xi’an 710071, ChinaSchool of Mathematics and Statistics, Xidian University, Xi’an 710071, ChinaCollege of Mathematics and Information Science, Xianyang Normal University, Xianyang 712099, ChinaSchool of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, ChinaIn this paper, the dynamic event-triggered tracking control issue is studied for a class of unknown stochastic nonlinear systems with strict-feedback form. At first, neural networks (NNs) are used to approximate the unknown nonlinear functions. Then, a dynamic event-triggered controller (DETC) is designed through the adaptive backstepping method. Especially, the triggered threshold is dynamically adjusted. Compared with its corresponding static event-triggered mechanism (SETM), the dynamic event-triggered mechanism (DETM) can generate a larger execution interval and further save resources. Moreover, it is verified by two simulation examples that show that the closed-loop stochastic system signals are ultimately fourth moment semi-globally uniformly bounded (SGUUB).https://www.mdpi.com/2073-8994/13/9/1648stochastic nonlinear systemdynamic event-triggered controllerneural networkadaptive backstepping
collection DOAJ
language English
format Article
sources DOAJ
author Yingying Fu
Jing Li
Shuiyan Wu
Xiaobo Li
spellingShingle Yingying Fu
Jing Li
Shuiyan Wu
Xiaobo Li
Dynamic Event-Triggered Adaptive Tracking Control for a Class of Unknown Stochastic Nonlinear Strict-Feedback Systems
Symmetry
stochastic nonlinear system
dynamic event-triggered controller
neural network
adaptive backstepping
author_facet Yingying Fu
Jing Li
Shuiyan Wu
Xiaobo Li
author_sort Yingying Fu
title Dynamic Event-Triggered Adaptive Tracking Control for a Class of Unknown Stochastic Nonlinear Strict-Feedback Systems
title_short Dynamic Event-Triggered Adaptive Tracking Control for a Class of Unknown Stochastic Nonlinear Strict-Feedback Systems
title_full Dynamic Event-Triggered Adaptive Tracking Control for a Class of Unknown Stochastic Nonlinear Strict-Feedback Systems
title_fullStr Dynamic Event-Triggered Adaptive Tracking Control for a Class of Unknown Stochastic Nonlinear Strict-Feedback Systems
title_full_unstemmed Dynamic Event-Triggered Adaptive Tracking Control for a Class of Unknown Stochastic Nonlinear Strict-Feedback Systems
title_sort dynamic event-triggered adaptive tracking control for a class of unknown stochastic nonlinear strict-feedback systems
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2021-09-01
description In this paper, the dynamic event-triggered tracking control issue is studied for a class of unknown stochastic nonlinear systems with strict-feedback form. At first, neural networks (NNs) are used to approximate the unknown nonlinear functions. Then, a dynamic event-triggered controller (DETC) is designed through the adaptive backstepping method. Especially, the triggered threshold is dynamically adjusted. Compared with its corresponding static event-triggered mechanism (SETM), the dynamic event-triggered mechanism (DETM) can generate a larger execution interval and further save resources. Moreover, it is verified by two simulation examples that show that the closed-loop stochastic system signals are ultimately fourth moment semi-globally uniformly bounded (SGUUB).
topic stochastic nonlinear system
dynamic event-triggered controller
neural network
adaptive backstepping
url https://www.mdpi.com/2073-8994/13/9/1648
work_keys_str_mv AT yingyingfu dynamiceventtriggeredadaptivetrackingcontrolforaclassofunknownstochasticnonlinearstrictfeedbacksystems
AT jingli dynamiceventtriggeredadaptivetrackingcontrolforaclassofunknownstochasticnonlinearstrictfeedbacksystems
AT shuiyanwu dynamiceventtriggeredadaptivetrackingcontrolforaclassofunknownstochasticnonlinearstrictfeedbacksystems
AT xiaoboli dynamiceventtriggeredadaptivetrackingcontrolforaclassofunknownstochasticnonlinearstrictfeedbacksystems
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