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arXiv 1709.02080eess.SYcs.SYmath.DS
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二维空间中无需显式估计场梯度的协同曲线跟踪

Cooperative Curve Tracking in Two Dimensions Without Explicit Estimation of the Field Gradient

Rensselaer Polytechnic Institute(伦斯勒理工学院)

Sarthak Chatterjee, Wencen Wu

AI总结:

本文提出了一种无需显式估计场梯度的二维空间协同曲线跟踪方法,通过将每个代理的速度分解为两个相互垂直的方向并设计独立的控制律,实现了对含噪声平面等高线的高效准确跟踪。

摘要:

我们为两个代理设计了一种控制律,使其能够在不显式估计场梯度的情况下成功跟踪平面中的等高线。每个代理的速度被分解为两个相互垂直的方向,并在每个方向上设计了独立的控制律。我们证明了形成中心将收敛到具有所需等值水平值的等高线的邻域。该算法在存在噪声的优化问题中的一些测试函数上进行了测试。我们的结果表明,尽管控制律简单且无梯度,我们仍能快速且高精度地跟踪含噪声的平面等高线。

英文摘要:

We design a control law for two agents to successfully track a level curve in the plane without explicitly estimating the field gradient. The velocity of each agent is decomposed along two mutually perpendicular directions, and separate control laws are designed along each direction. We prove that the formation center will converge to the neighborhood of the level curve with the desired level value. The algorithm is tested on some test functions used in optimization problems in the presence of noise. Our results indicate that in spite of the control law being simple and gradient-free, we are able to successfully track noisy planar level curves fast and with a high degree of accuracy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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