基于可靠性分析的最优冗余配置数量确定方法

针对基于传感器级冗余的捷联惯性导航系统中陀螺仪的冗余配置问题,设计了一种确定最优冗余配置陀螺仪数量的方法,综合考虑了系统的可靠性和成本代价.在各陀螺仪故障的发生为相互独立的前提下,以可靠性函数为工具,提出了确定最优冗余配置数量的性能指标.以该性能指标为依据,分析了斜置冗余配置的陀螺仪数量改变时该指标值的变化情况.结果表明:确定最优冗余配置数量的性能指标的值最大时,所对应的最优斜置冗余配置陀螺仪数量为6.

Method for investigation of the optimal redundant gyros number based on reliability analysis

To solve redundant gyros configuration problem of the strapdown inertial navigation system with redundancy technique in sensor level, a method to determine the optimal number of gyros that compose the redundant system was proposed with a view to the system reliability and cost. It was assumed that the fault of each gyro should be independent of others. To obtain the optimal gyros number, a new criterion was developed by proposing reliability function and the number making the criterion value come to maximum is the optimal gyros number. The change of criterion value was analyzed when the gyros number of redundant system was different. The results show that the redundant system reliability increases with the gyro number increasing. The system reliability improvement is limited but the cost of system increases greatly from some number of gyros. Finally, the optimal gyros number of redundant configuration is given and it is 6.