当前位置: X-MOL 学术arXiv.cs.SY › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Barriers and Potentially Safe Sets in Hybrid Systems: Pendulum with Non-Rigid Cable
arXiv - CS - Systems and Control Pub Date : 2021-09-22 , DOI: arxiv-2109.10976
Willem Esterhuizen, Jean Lévine

This paper deals with an application of the notion of barrier in mixed constrained nonlinear systems to an example of a pendulum mounted on a cart with non-rigid cable, whose dynamics may switch to free-fall when the tension of the cable vanishes. We present a direct construction of the boundary of the potentially safe set in which there always exists a control such that the cable never goes slack. A discussion on the dependence of this set with respect to the pendulum and cart masses is then sketched.

中文翻译:

混合系统中的障碍和潜在安全装置:带非刚性电缆的钟摆

本文讨论了混合约束非线性系统中障碍概念的应用,以安装在带有非刚性缆索的推车上的摆锤为例,当缆索的张力消失时,其动力学可能会切换为自由落体。我们提出了潜在安全集边界的直接构造,其中始终存在一个控制,使电缆永不松弛。然后概述了该集合相对于摆锤和推车质量的相关性的讨论。
更新日期:2021-09-24
down
wechat
bug