{"title":"Event-Triggered Impulsive Control of Nonlinear Stochastic Systems With Exogenous Disturbances","authors":"Linna Liu, Chenglong Pan, Jianyin Fang","doi":"10.1002/rnc.7746","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>In this work, the stability problem of nonlinear stochastic systems is investigated under exogenous disturbances through event-triggered impulsive control (ETIC). The ETIC strategy proposed in this paper incorporates three levels of events, taking into account four indicators: threshold, control-free index, inspection interval, and waiting time for stochastic systems, which is more practically significant and can effectively eliminate the Zeno behavior. By utilizing Lyapunov stability theory, stochastic analysis techniques, and some fundamental inequalities, sufficient conditions for the <span></span><math>\n <semantics>\n <mrow>\n <mi>r</mi>\n <mtext>th</mtext>\n </mrow>\n <annotation>$$ r\\mathrm{th} $$</annotation>\n </semantics></math> moment input-to-state stability (<span></span><math>\n <semantics>\n <mrow>\n <mi>r</mi>\n </mrow>\n <annotation>$$ r $$</annotation>\n </semantics></math>-ISS) and exponentially <span></span><math>\n <semantics>\n <mrow>\n <mi>r</mi>\n </mrow>\n <annotation>$$ r $$</annotation>\n </semantics></math>-ISS of the considered system can be achieved through the implementation of the designed ETIC. Then, the theoretical results are employed in actual nonlinear stochastic systems, leading to the establishment of LMI-based criteria for exponential <span></span><math>\n <semantics>\n <mrow>\n <mi>r</mi>\n </mrow>\n <annotation>$$ r $$</annotation>\n </semantics></math>-ISS. Ultimately, the feasibility of ETIC strategy is confirmed through two instances.</p>\n </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"35 5","pages":"1654-1665"},"PeriodicalIF":3.2000,"publicationDate":"2024-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Robust and Nonlinear Control","FirstCategoryId":"94","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/rnc.7746","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, the stability problem of nonlinear stochastic systems is investigated under exogenous disturbances through event-triggered impulsive control (ETIC). The ETIC strategy proposed in this paper incorporates three levels of events, taking into account four indicators: threshold, control-free index, inspection interval, and waiting time for stochastic systems, which is more practically significant and can effectively eliminate the Zeno behavior. By utilizing Lyapunov stability theory, stochastic analysis techniques, and some fundamental inequalities, sufficient conditions for the moment input-to-state stability (-ISS) and exponentially -ISS of the considered system can be achieved through the implementation of the designed ETIC. Then, the theoretical results are employed in actual nonlinear stochastic systems, leading to the establishment of LMI-based criteria for exponential -ISS. Ultimately, the feasibility of ETIC strategy is confirmed through two instances.
期刊介绍:
Papers that do not include an element of robust or nonlinear control and estimation theory will not be considered by the journal, and all papers will be expected to include significant novel content. The focus of the journal is on model based control design approaches rather than heuristic or rule based methods. Papers on neural networks will have to be of exceptional novelty to be considered for the journal.