{"title":"Adaptive dynamic event-triggered asymptotic control for uncertain nonlinear systems","authors":"Yongchao Liu , Ning Zhao","doi":"10.1016/j.chaos.2024.115597","DOIUrl":null,"url":null,"abstract":"<div><div>This paper presents an adaptive dynamic event-triggered asymptotic control method for uncertain strict-feedback nonlinear systems with mismatched uncertainties. A dynamic variable is introduced into event-triggered schedule to achieve dynamically regulate the threshold parameter. Meanwhile, a useful Lemma about the dynamic threshold parameter is given to guarantee the availability. Moreover, tuning function technique is used in the backstepping iterative design procedure to address mismatched uncertainties. Adaptive technique is employed to estimate the unknown parameter, then contributing to asymptotic control purpose. It is proven that the closed-loop systems by applying the designed scheme is asymptotic stable and without Zeno behavior. Simulation results and comparative analysis showcase the efficacy of the derived method.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":null,"pages":null},"PeriodicalIF":5.3000,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chaos Solitons & Fractals","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0960077924011494","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
This paper presents an adaptive dynamic event-triggered asymptotic control method for uncertain strict-feedback nonlinear systems with mismatched uncertainties. A dynamic variable is introduced into event-triggered schedule to achieve dynamically regulate the threshold parameter. Meanwhile, a useful Lemma about the dynamic threshold parameter is given to guarantee the availability. Moreover, tuning function technique is used in the backstepping iterative design procedure to address mismatched uncertainties. Adaptive technique is employed to estimate the unknown parameter, then contributing to asymptotic control purpose. It is proven that the closed-loop systems by applying the designed scheme is asymptotic stable and without Zeno behavior. Simulation results and comparative analysis showcase the efficacy of the derived method.
期刊介绍:
Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.