稳定不稳定稳态的自适应延迟反馈控制

IF 2.4 3区物理与天体物理 Q1 Mathematics

Physical review. E Pub Date : 2024-07-30 DOI:10.1103/physreve.110.014214

Koki Yoshida, Keiji Konishi

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引用次数: 0

摘要

延迟反馈控制是稳定不稳定周期轨道和不稳定稳定状态的常用控制方法。本文提出了一种用于延迟反馈控制的自适应调整延迟时间规则，主要用于稳定不稳定的稳定状态。该规则旨在缓慢改变延迟时间，增加动态系统过去状态与当前状态之间的差异，从而促使延迟时间自动落入稳定区域。我们从数值上证实，该调谐规则对 Stuart-Landau 振荡器、FitzHugh-Nagumo 模型和 Lorenz 系统效果良好。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Adaptive delayed feedback control for stabilizing unstable steady states

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Adaptive delayed feedback control for stabilizing unstable steady states

Delayed feedback control is a commonly used control method for stabilizing unstable periodic orbits and unstable steady states. The present paper proposes an adaptive tuning delay time rule for delayed feedback control focused on stabilizing unstable steady states. The rule is designed to slowly vary the delay time, increasing the difference between the past and current states of dynamical systems, which induces the delay time to automatically fall into the stability region. We numerically confirm that the tuning rule works well for the Stuart–Landau oscillator, FitzHugh–Nagumo model, and Lorenz system.

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来源期刊

Physical review. E 物理-物理：流体与等离子体

CiteScore

4.60

自引率

16.70%

发文量

审稿时长

3.3 months

期刊介绍： Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.