板凳龙行径位置计算的动态反馈算法

郑雯欢; ZHENG Wenhuan; 郑姝艺; ZHENG Shuyi; 陈森; CHEN Sen; 郑姝琳; ZHENG Shulin

doi:10.48014/bcam.20241118001

板凳龙行径位置计算的动态反馈算法

Dynamical Feedback Algorithm for Calculating the Moving Position of Bench Dragon' s Path

中国应用数学通报 2025年第3卷第1期页码[1-9] 下载全文[0.8MB]

摘要

本文探讨了板凳龙沿阿基米德螺线盘入过程中, 各把手位置的确定方法。首先, 根据各把手盘入的行径特征, 确定对应极角的定量搜索范围, 为后续算法提供初值。随后, 提出了一种用于计算后一把手位置的动态反馈算法, 该算法有效避免了在求解非线性方程组时出现的多解问题。此外, 为提高计算效率, 研究了不同极角与迭代参数的函数设计。在仿真环境下, 验证了该动态反馈算法的有效性。

Abstract

The paper considers the problem of determining the position of each handle as the bench dragon coils along the spiral. First, the quantitative searching range of the corresponding polar angle of the handle is given according to the traveling path characteristics of each handle coiled in, offering the initial value for the proposed algorithm. Then, a dynamical feedback algorithm for calculating the position of the latter handle is proposed, which avoids the multi-solution problem of solving nonlinear equations. Furthermore, to promote the computational efficiency, the design of iterative parameters based on varying polar angles is discussed. In the simulation environment, the effectiveness of the proposed dynamical feedback algorithm is illustrated.

DOI	10.48014/bcam.20241118001
文章类型	研究性论文
收稿日期	2024-11-18
接收日期	2024-12-15
出版日期	2025-03-28
关键词	动态反馈算法, 迭代参数, 板凳龙
Keywords	Dynamical feedback algorithm, iterative parameter, bench dragon
作者	郑雯欢¹, 郑姝艺¹, 陈森^1,*, 郑姝琳²
Author	ZHENG Wenhuan¹, ZHENG Shuyi¹, CHEN Sen^1,*, ZHENG Shulin²
所在单位	1. 陕西师范大学数学与统计学院, 西安 710119 2. 陕西师范大学物理学与信息技术学院, 西安 710119
Company	1. School of Mathematics and Statistics, Shaanxi Normal University, Shaanxi, Xi' an 710119, China 2. School of Physics and Information Technology, Shaanxi Normal University, Shaanxi, Xi' an 710119, China
浏览量	151
下载量	61
基金项目	This work is supported by the Young Talent Fund of Association for Science and Technology in Shaanxi,China,under grant No.20230513.
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引用本文	郑雯欢, 郑姝艺, 陈森, 等. 板凳龙行径位置计算的动态反馈算法[J]. 中国应用数学通报, 2025, 3(1): 1-9.
Citation	ZHENG Wenhuan, ZHENG Shuyi, CHEN Sen, et al. Dynamical feedback algorithm for calculating the moving position of bench dragon' s path[J]. Bulletin of Chinese Applied Mathematics, 2025, 3(1): 1-9.