混沌系统延迟反馈控制的Lyapunov指数PI优化

2022 International Conference of Advanced Technology in Electronic and Electrical Engineering (ICATEEE) Pub Date : 2022-11-26 DOI:10.1109/ICATEEE57445.2022.10093724

Baghdadi Hamidouche, Kamel GUESMI, N. Essounbouli

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引用次数: 0

摘要

本研究的目标是混沌系统的控制与稳定。提出了一种将比例积分(PI)控制与延迟反馈控制相结合的混合控制方法。这背后的主要思想是将结构稳定问题转化为优化任务。目标是找到PI增益的最优值，该值给出最大Lyapunov指数的最低值。PI参数是系统当前状态与其延迟一个周期值之间的差值。这使得系统混沌轨道的最优结构稳定成为可能。稳定区域的扩大和暂态稳定时间的缩短。通过混沌系统基准的数值仿真，验证了该方法的有效性。

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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Lyapunov Exponent-based PI Optimization for the Delayed Feedback Control of Chaos

The objective of this study is the control and stabilization of chaotic systems. It proposes a new hybrid control approach combining the proportional-integral (PI) technique with the delayed feedback control approach. The main idea behind this is to transform the structural stabilization problem into an optimization task. The target is to find the PI gains optimal values that give the lowest value for the maximum Lyapunov exponent. The PI argument is the difference between the present state of the system and its delayed value by one period. This allows the optimal structural stabilization of the chaotic orbits of the system. The widening of the stable region, and the decrease of the transient time for stabilization. The proposed approach is validated, and its performance is shown by numerical simulation on a chaotic system benchmark.

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2022 International Conference of Advanced Technology in Electronic and Electrical Engineering (ICATEEE)

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