基于模糊GO法的惯性导航系统可靠性研究

Research on reliability of inertial navigation system based on fuzzy GO methodology

GO法是一种以成功为导向的系统可靠性分析方法,但GO法不适合评价模糊不确定性系统的可靠性.为解决此问题,将模糊数学与GO可靠性模型相结合,引入三角模糊数和扩展原理分别对输入、输出数据的模糊不确定性进行量化,提出了不确定性多态系统的模糊GO可靠性分析方法——模糊GO法.惯性导航系统(INS)属于典型的小子样复杂机电系统,其可靠性存在一定模糊不确定性.以某平台INS为例,分别用模糊FTA、传统GO法、模糊GO法进行可靠性分析研究,结果表明:模糊GO法有效,是传统GO法的合理推广,可作为一种复杂多态系统可靠性分析方法.

GO methodology is a success-oriented method for system reliability analysis,however it is not suitable to evaluate the reliability of fuzzy uncertainty system.To solve this problem,with the combination of fuzzy mathematics and the GO reliability model,using the triangular fuzzy number and the extended principle to quantify the fuzzy uncertainties of input and output data respectively,a method of fuzzy GO reliability analysis for the uncertainty multi-state system called fuzzy GO methodology is proposed.Inertial navigation system（INS）,belonging to the typical small sample complex electromechanical system,has some fuzzy uncertainty.Using aplatform inertial navigation system as the research object,the reliability analysis is conducted by fuzzy FTA,traditional GO methodology and fuzzy GO methodology respectively.The comparison results show that the fuzzy GO methodology is valid and reasonable extension of the traditional GO methodology,and can be used as a complex multi-state system reliability analysis approach.