基于事件触发脉冲控制的脉冲扰动非线性系统的输入到状态镇定

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-02-24 DOI:10.1016/j.amc.2025.129365

Wenjun Sun , Mingzhu Wang , Jianwei Xia , Xiaodi Li

{"title":"基于事件触发脉冲控制的脉冲扰动非线性系统的输入到状态镇定","authors":"Wenjun Sun , Mingzhu Wang , Jianwei Xia , Xiaodi Li","doi":"10.1016/j.amc.2025.129365","DOIUrl":null,"url":null,"abstract":"<div><div>This paper investigates the input-to-state stabilization (ISS) problem for nonlinear impulsive systems under event-triggered impulsive control (ETIC), encompassing comprehensive considerations of external continuous and impulsive disturbances. Some flexible design criteria of ETIC strategies are proposed for ISS of addressed systems based on Lyapunov theory without Zeno behavior, which can effectively overcome the negative effects caused by the double disturbances. Moreover, a relationship between event-triggered mechanism (ETM), impulsive control strength, and two kinds of external disturbances is established. Compared with the existing results on ISS of nonlinear systems based on ETIC, our proposed ETIC strategies can be applied to the practical applications involving impulsive disturbance with stronger robustness. Finally, the proposed results are further validated through the presentation of two numerical examples.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"497 ","pages":"Article 129365"},"PeriodicalIF":3.5000,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Input-to-state stabilization of nonlinear systems with impulsive disturbance via event-triggered impulsive control\",\"authors\":\"Wenjun Sun , Mingzhu Wang , Jianwei Xia , Xiaodi Li\",\"doi\":\"10.1016/j.amc.2025.129365\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This paper investigates the input-to-state stabilization (ISS) problem for nonlinear impulsive systems under event-triggered impulsive control (ETIC), encompassing comprehensive considerations of external continuous and impulsive disturbances. Some flexible design criteria of ETIC strategies are proposed for ISS of addressed systems based on Lyapunov theory without Zeno behavior, which can effectively overcome the negative effects caused by the double disturbances. Moreover, a relationship between event-triggered mechanism (ETM), impulsive control strength, and two kinds of external disturbances is established. Compared with the existing results on ISS of nonlinear systems based on ETIC, our proposed ETIC strategies can be applied to the practical applications involving impulsive disturbance with stronger robustness. Finally, the proposed results are further validated through the presentation of two numerical examples.</div></div>\",\"PeriodicalId\":55496,\"journal\":{\"name\":\"Applied Mathematics and Computation\",\"volume\":\"497 \",\"pages\":\"Article 129365\"},\"PeriodicalIF\":3.5000,\"publicationDate\":\"2025-02-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematics and Computation\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S009630032500092X\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S009630032500092X","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

研究了事件触发脉冲控制（ETIC）下非线性脉冲系统的输入到状态镇定问题，该问题综合考虑了外部连续干扰和脉冲干扰。基于Lyapunov理论，针对无Zeno行为的寻址系统，提出了一些灵活的ETIC策略设计准则，可以有效克服双扰动带来的负面影响。建立了事件触发机制（ETM）、脉冲控制强度与两种外部干扰之间的关系。与已有的基于ETIC的非线性系统的ISS研究结果相比，我们提出的ETIC策略可以应用于包含脉冲干扰的实际应用，具有更强的鲁棒性。最后，通过两个数值算例进一步验证了所提结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Input-to-state stabilization of nonlinear systems with impulsive disturbance via event-triggered impulsive control

This paper investigates the input-to-state stabilization (ISS) problem for nonlinear impulsive systems under event-triggered impulsive control (ETIC), encompassing comprehensive considerations of external continuous and impulsive disturbances. Some flexible design criteria of ETIC strategies are proposed for ISS of addressed systems based on Lyapunov theory without Zeno behavior, which can effectively overcome the negative effects caused by the double disturbances. Moreover, a relationship between event-triggered mechanism (ETM), impulsive control strength, and two kinds of external disturbances is established. Compared with the existing results on ISS of nonlinear systems based on ETIC, our proposed ETIC strategies can be applied to the practical applications involving impulsive disturbance with stronger robustness. Finally, the proposed results are further validated through the presentation of two numerical examples.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.