{"title":"Adaptive Prescribed-Time Control for Nonlinear Systems With Triggered States","authors":"Liuliu Zhang, Xinxin Fang, Cheng Qian, Changchun Hua","doi":"10.1002/rnc.70675","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>The problem of adaptive prescribed-time control for a class of nonlinear systems with uncertain parameters is studied under the condition of state-triggered transmission. The intermittent state feedback mechanism leads to discontinuous states, which generates the problem about non-differentiable virtual control signals. For this challenge, by introducing a prescribed-time dynamic surface control (DSC), a novel adaptive prescribed-time control strategy is presented. Also, a new event trigger condition is constructed to compensate for the triggering error. Based on the triggering mechanism and controller, the semi-global stabilization can be guaranteed within a specified time, irrespective of the initial conditions or other designed parameters. The effectiveness of the proposed method is validated by theoretical analysis and numerical simulation.</p>\n </div>","PeriodicalId":50291,"journal":{"name":"International Journal of Robust and Nonlinear Control","volume":"36 17","pages":"7717-7726"},"PeriodicalIF":3.1000,"publicationDate":"2026-10-12","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.70675","RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/7/26 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
The problem of adaptive prescribed-time control for a class of nonlinear systems with uncertain parameters is studied under the condition of state-triggered transmission. The intermittent state feedback mechanism leads to discontinuous states, which generates the problem about non-differentiable virtual control signals. For this challenge, by introducing a prescribed-time dynamic surface control (DSC), a novel adaptive prescribed-time control strategy is presented. Also, a new event trigger condition is constructed to compensate for the triggering error. Based on the triggering mechanism and controller, the semi-global stabilization can be guaranteed within a specified time, irrespective of the initial conditions or other designed parameters. The effectiveness of the proposed method is validated by theoretical analysis and numerical simulation.
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.
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