{"title":"基于被动观测器的一类 Lipschitz 非线性时变系统控制器设计及其在乙型肝炎疾病中的应用","authors":"Shaghayegh Gorji, Ahmad Fakharian, Rezvan Abbasi","doi":"10.1177/09596518241236925","DOIUrl":null,"url":null,"abstract":"In this paper, a novel passive formulation has been developed based on LMI to design passive state-observer for a wide range of Lipschitz nonlinear systems. During this formulation, a stable and strictly passive state-observer is provided in order to have passive closed-loop system. A new interconnection between passivity of subsystems and passivity/stability of the total closed-loop system has been presented. In this regard, some theorems are defined based on virtually Euler-Lagrange form of passivation. Due to using this form and the proposed theorems, the design process will simplify and speed up. A passivity-based control based on passive state-observer has been proposed to control the hepatitis B virus infection disease. The reliability of the proposed controller/observer has been examined using MATLAB/SIMULINK, where the simulation results and the sensitivity analysis demonstrate the capability of this novel approach.","PeriodicalId":20638,"journal":{"name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","volume":"9 1","pages":""},"PeriodicalIF":1.4000,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Passive observer-based controller design for a class of Lipschitz nonlinear time-varying systems with application to Hepatitis B disease\",\"authors\":\"Shaghayegh Gorji, Ahmad Fakharian, Rezvan Abbasi\",\"doi\":\"10.1177/09596518241236925\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a novel passive formulation has been developed based on LMI to design passive state-observer for a wide range of Lipschitz nonlinear systems. During this formulation, a stable and strictly passive state-observer is provided in order to have passive closed-loop system. A new interconnection between passivity of subsystems and passivity/stability of the total closed-loop system has been presented. In this regard, some theorems are defined based on virtually Euler-Lagrange form of passivation. Due to using this form and the proposed theorems, the design process will simplify and speed up. A passivity-based control based on passive state-observer has been proposed to control the hepatitis B virus infection disease. The reliability of the proposed controller/observer has been examined using MATLAB/SIMULINK, where the simulation results and the sensitivity analysis demonstrate the capability of this novel approach.\",\"PeriodicalId\":20638,\"journal\":{\"name\":\"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering\",\"volume\":\"9 1\",\"pages\":\"\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2024-04-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.1177/09596518241236925\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"AUTOMATION & CONTROL SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1177/09596518241236925","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
Passive observer-based controller design for a class of Lipschitz nonlinear time-varying systems with application to Hepatitis B disease
In this paper, a novel passive formulation has been developed based on LMI to design passive state-observer for a wide range of Lipschitz nonlinear systems. During this formulation, a stable and strictly passive state-observer is provided in order to have passive closed-loop system. A new interconnection between passivity of subsystems and passivity/stability of the total closed-loop system has been presented. In this regard, some theorems are defined based on virtually Euler-Lagrange form of passivation. Due to using this form and the proposed theorems, the design process will simplify and speed up. A passivity-based control based on passive state-observer has been proposed to control the hepatitis B virus infection disease. The reliability of the proposed controller/observer has been examined using MATLAB/SIMULINK, where the simulation results and the sensitivity analysis demonstrate the capability of this novel approach.
期刊介绍:
Systems and control studies provide a unifying framework for a wide range of engineering disciplines and industrial applications. The Journal of Systems and Control Engineering refleSystems and control studies provide a unifying framework for a wide range of engineering disciplines and industrial applications. The Journal of Systems and Control Engineering reflects this diversity by giving prominence to experimental application and industrial studies.
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This journal is a member of the Committee on Publication Ethics (COPE).cts this diversity by giving prominence to experimental application and industrial studies.