Passive observer-based controller design for a class of Lipschitz nonlinear time-varying systems with application to Hepatitis B disease

IF 1.4 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS

Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering Pub Date : 2024-04-08 DOI:10.1177/09596518241236925

Shaghayegh Gorji, Ahmad Fakharian, Rezvan Abbasi

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引用次数: 0

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.

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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

本文以 LMI 为基础，开发了一种新颖的被动表述方法，用于设计各种 Lipschitz 非线性系统的被动状态观测器。在这一公式中，提供了一个稳定且严格的被动状态观测器，以获得被动闭环系统。在子系统的被动性和整个闭环系统的被动性/稳定性之间提出了一种新的相互联系。在这方面，根据钝化的欧拉-拉格朗日形式定义了一些定理。由于使用了这种形式和所提出的定理，设计过程将得到简化和加速。本文提出了一种基于被动状态观测器的被动控制方法，用于控制乙型肝炎病毒感染疾病。仿真结果和灵敏度分析表明了这种新方法的能力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 工程技术-自动化与控制系统

CiteScore

3.50

自引率

18.80%

发文量

审稿时长

4.2 months

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. "It is clear from the feedback we receive that the Journal is now recognised as one of the leaders in its field. We are particularly interested in highlighting experimental applications and industrial studies, but also new theoretical developments which are likely to provide the foundation for future applications. In 2009, we launched a new Series of "Forward Look" papers written by leading researchers and practitioners. These short articles are intended to be provocative and help to set the agenda for future developments. We continue to strive for fast decision times and minimum delays in the production processes." Professor Cliff Burrows - University of Bath, UK This journal is a member of the Committee on Publication Ethics (COPE).cts this diversity by giving prominence to experimental application and industrial studies.