| 机器人与其连带安全装置系统的可靠性与可控性研究 |
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| 引用本文： | 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. |
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| 作者姓名： | 周莉 魏连锁 |
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| 作者单位： | 齐齐哈尔大学理学院, 黑龙江 齐齐哈尔 161006;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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| 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). |
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| 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.
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| 关 键 词： | Cauchy问题 瞬态可靠度 稳态可用度 数值模拟 |
| 收稿时间： | 2020/1/7 0:00:00 |
| 修稿时间： | 2020/5/24 0:00:00 |
Reliability and Controllability of the System Consisting of a Robot and Its Associated Safety Mechanism |
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| Li ZHOU,Liansuo WEI.Reliability and Controllability of the System Consisting of a Robot and Its Associated Safety Mechanism[J].Journal of Mathematical Research with Applications,2020,40(4):342-350. |
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| Authors: | Li ZHOU Liansuo WEI |
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| Institution: | College of Science, Qiqihar University, Heilongjiang 161006, P. R. China; Computer and Control Engineering, Qiqihar University, Heilongjiang 161006, P. R. China |
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| Abstract: | 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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| Keywords: | Cauchy problem transient reliability steady availability numerical simulation |
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