复杂系统误差传递模式的数字特征

The Numerical Characteristics of Error Propagation in the Complex System

复杂系统误差传递过程中包含着系统误差和随机误差.观测指标总误差的溯源分离是复杂系统误差领域研究的难点和热点.本文根据传递函数矩阵的特征,提出了针对单一层级系统误差传递模式的分类方法,根据此分类方法研究了子系统误差对观测指标总误差的影响,并建立了相应的总误差简化机制.该理论的提出对于研究复杂系统误差传递机制、分析误差来源以及控制容许误差等问题提供了一条有效途径.文中给出的算例说明该理论对研究具有不同传递函数矩阵特征的总误差传递结果具有一定可行性,对实际工程应用具有指导意义.

System error and random error are both included in error propagation for the complex system.Error tracing and separation are the hot topics in our research.At the same time,it is very difficult to solve this problem fundamentally.A classification of error propagation mode for one level of hierarchy system is proposed based on the characteristics of propagation function matrix.The relationship between the error of subsystems and target parameter error is investigated based on the proposed method in this paper,while a simplification mechanism of total error is established.This theory provides an effective approach to investigating the mechanism of error propagation for the complex system.It is also good for analyzing the origin of the error and controlling the error.An example provided in this paper illustrates the feasibility of the theory according to different types of propagation function matrix.Therefore,the paper can be taken as a good guidance in solving the practical problem of error propagation in the complex system.