考虑开关矩阵的综合化航电系统任务可靠性分析

Mission Reliability Analysis of Integrated System Considering Switching Matrix

在综合化航电系统架构采用动态重构技术,通过开关矩阵进行任务切换,显然传统的并联模型已不能满足分析其任务可靠性的要求。选取通用激励模块进行研究,采用“旁联”模型进行任务可靠性建模。运用马尔科夫过程建立系统任务可靠度(Rs)和平均严重故障间隔时间(MTBCF)的可靠性模型,建立了带开关矩阵的状态转移矩阵。引入了现代控制理论中的拉普拉斯变换,使得求解微分方程更加简便。本文探索在开关矩阵与通道的失效率满足一定线性比例时,旁联模型在任务可靠度上才优于并联模型。最后对求解的比例门限(√3+1)/2进行验证,一方面通过数值分析方法在任务时间从零到十万小时内进行了图像拟合,另一方面通过洛必达法则及二阶求导数的方式对构造函数进行了严格的数学证明。本文进行了考虑开关矩阵失效的旁联模型和并联模型的量化分析,为系统设计方案的科学决策提供理论支持。

In a integrated radio frequency system,dynamic reconfiguration technology is used to switch the mission.It is obvious that the traditional parallel model can't meet the requirement of mission reliability analysis.The general transmitter module(GTM)was selected for the study,and the sideconnection model was used to model the mission reliability.Markov process is used to establish the reliability model of system mission reliability and MTBCF,the state transition matrix with switching matrix is established.Laplace transform method in modern control theory is more concise to solve the differential equations.In this paper,it is found that only when the failure rate of switching matrix and channel meets a certain linear ratio,the side-connection model is better than the parallel model.Finally,the ration coefficient(√3+1)/2 is verified.On the one hand,the parameters of the two models are fitted by numerical analysis in the mission time from zero to one hundred thousand hours.On the other hand,with L'Hospital rule and second derivative solution method the constructor functions are proved strictly.In this paper,the side-connection model considering switching matrix failures and the parallel model are analyzed quantitatively,it also provides a theoretical support for the scientific decision-making of the system design scheme.