{"title":"Robust Delay-Dependent Output-Feedback PD Controller Design for Variable Fractional-Order Uncertain Neutral Systems With Time-Varying Delays","authors":"Zahra Sadat Aghayan;Alireza Alfi;Yashar Mousavi;Afef Fekih","doi":"10.1109/TSMC.2024.3508573","DOIUrl":null,"url":null,"abstract":"This article is focused on the stabilization and control of variable fractional-order (VFO) neutral delay systems with time-varying structured uncertainties and delays. Using the Lyapunov theorem, the delay- and order-dependent stability criterion of both the nominal and uncertain VFO systems of neutral-type with time-varying delays are derived using a set of linear matrix inequalities (LMIs). An LMI-based output-feedback proportional-derivative (PD) control law that meets the delay-dependent and order-dependent criteria is then derived to guarantee the asymptotic stability of such systems. The performance of the proposed control structure is assessed using a simulation study of two VFO systems.","PeriodicalId":48915,"journal":{"name":"IEEE Transactions on Systems Man Cybernetics-Systems","volume":"55 3","pages":"1986-1996"},"PeriodicalIF":8.7000,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Systems Man Cybernetics-Systems","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10834551/","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 0
Abstract
This article is focused on the stabilization and control of variable fractional-order (VFO) neutral delay systems with time-varying structured uncertainties and delays. Using the Lyapunov theorem, the delay- and order-dependent stability criterion of both the nominal and uncertain VFO systems of neutral-type with time-varying delays are derived using a set of linear matrix inequalities (LMIs). An LMI-based output-feedback proportional-derivative (PD) control law that meets the delay-dependent and order-dependent criteria is then derived to guarantee the asymptotic stability of such systems. The performance of the proposed control structure is assessed using a simulation study of two VFO systems.
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