具有输入延迟的一维反应扩散方程的齐次预测反馈

IF 2.6 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

European Journal of Control Pub Date : 2025-07-22 DOI:10.1016/j.ejcon.2025.101336

Mericel Ayamou , Nicolas Espitia , Andrey Polyakov , Emilia Fridman

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引用次数: 0

摘要

研究一类具有输入时滞的一维反应扩散方程的非线性边界镇定问题。利用模态分解方法，我们提出了一种基于齐次的预测器反馈来稳定不稳定模态。通过构造一个合适的Lyapunov泛函，证明了闭环系统的稳定性。我们提出了数值模拟来支持分析结果，并将我们提出的控制器与线性预测器反馈在闭环性能和峰值效应方面进行了比较。

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Homogeneous predictor feedback for a 1D reaction–diffusion equation with input delay

This paper deals with nonlinear boundary stabilization of a 1D reaction–diffusion equation with input delay. Using the modal decomposition approach, we propose a homogeneous-based predictor feedback for stabilizing the unstable modes. We prove the stability of the closed-loop system via the construction of a suitable Lyapunov functional. We present numerical simulations to support the analytical results and compare our proposed controller to linear predictor feedback regarding closed-loop performance and peaking effect.

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来源期刊

European Journal of Control 工程技术-自动化与控制系统

CiteScore

5.80

自引率

5.90%

发文量

131

审稿时长

1 months

期刊介绍： The European Control Association (EUCA) has among its objectives to promote the development of the discipline. Apart from the European Control Conferences, the European Journal of Control is the Association''s main channel for the dissemination of important contributions in the field. The aim of the Journal is to publish high quality papers on the theory and practice of control and systems engineering. The scope of the Journal will be wide and cover all aspects of the discipline including methodologies, techniques and applications. Research in control and systems engineering is necessary to develop new concepts and tools which enhance our understanding and improve our ability to design and implement high performance control systems. Submitted papers should stress the practical motivations and relevance of their results. The design and implementation of a successful control system requires the use of a range of techniques: Modelling Robustness Analysis Identification Optimization Control Law Design Numerical analysis Fault Detection, and so on.