期刊
SYSTEMS & CONTROL LETTERS
卷 150, 期 -, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.sysconle.2021.104910
关键词
Friction; Lyapunov methods; Attractor; Regional asymptotic stability; Global asymptotic stability; LMI
资金
- ANR project HANDY [18CE400010]
This paper addresses the stability analysis of a mass-spring system subject to friction by merging the characterization of an attractor with the estimation of its basin of attraction to ensure global asymptotic stability.
This paper deals with the stability analysis of a mass-spring system subject to friction using Lyapunov-based arguments. As the described system presents a stick-slip phenomenon, the mass may then periodically stick to the ground. The objective consists of developing numerically tractable conditions ensuring the global asymptotic stability of the unique equilibrium point. The proposed approach merges two intermediate results: The first one relies on the characterization of an attractor around the origin, to which converges the closed-loop trajectories. The second result assesses the regional asymptotic stability of the equilibrium point by estimating its basin of attraction. The main result relies on conditions allowing to ensure that the attractor issued from the first result is included in the basin of attraction of the origin computed from the second result. An illustrative example draws the interest of the approach. (C) 2021 The Authors. Published by Elsevier B.V.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据