周莉,魏连锁.机器人与其连带安全装置系统的可靠性与可控性研究[J].数学研究及应用,2020,40(4):342~350
机器人与其连带安全装置系统的可靠性与可控性研究
Reliability and Controllability of the System Consisting of a Robot and Its Associated Safety Mechanism
投稿时间:2020-01-07  修订日期:2020-05-24
DOI:10.3770/j.issn:2095-2651.2020.04.002
中文关键词:  Cauchy问题  瞬态可靠度  稳态可用度  数值模拟
英文关键词:Cauchy problem  transient reliability  steady availability  numerical simulation
基金项目:国家自然科学基金(Grant No.61571150), 黑龙江省自然科学基金(Grant Nos.LH2019F037; F2017029).
作者单位
周莉 齐齐哈尔大学理学院, 黑龙江 齐齐哈尔 161006 
魏连锁 齐齐哈尔大学计算机与控制工程学院, 黑龙江 齐齐哈尔 161006 
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中文摘要:
      本文主要研究由机器人与其安全装置组成的系统. 利用泛函分析方法将原系统的偏微分方程组转化成Banach空间中抽象的Cauchy问题.通过代数理论和$C_0$半群理论得到系统的瞬态可靠度和稳态可用度,利用转换变量证明了系统的可靠性和零状态可控性.最后利用Maple软件模拟出系统瞬态可靠度和稳态可用度图形.
英文摘要:
      This paper mainly studies the system composed of robot and its safety mechanism. By using functional analysis method, the partial differential equation of the original system is transformed into the abstract Cauchy problem in Banach space. The transient and steady-state availability of the system can be obtained by algebraic theory and $C_{0}$ semi-group theory, and the system is proved to be reliable and zero-state controllable by using transformation variables. Finally, Maple software is used to simulate the system transient reliability and steady-state availability.
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