Reliability and Controllability of the System Consisting of a Robot and Its Associated Safety Mechanism
Received:January 07, 2020  Revised:May 24, 2020
Key Word: Cauchy problem   transient reliability   steady availability   numerical simulation  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.61571150) and the Natural Science Foundation of Heilongjiang Province (Grant Nos.LH2019F037; F2017029).
Author NameAffiliation
Li ZHOU College of Science, Qiqihar University, Heilongjiang 161006, P. R. China 
Liansuo WEI Computer and Control Engineering, Qiqihar University, Heilongjiang 161006, P. R. China 
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      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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