系统故障演化过程熵及其受逻辑关系的影响研究

Study on entropy of system fault evolution process and its influence on logical relationships

为研究系统故障演化过程中系统功能状态变化的混乱程度,引入熵概念提出了系统故障演化过程熵(简称演化熵)。演化熵是演化过程某时刻的系统功能状态混乱程度,是系统演化从一时刻发展到另一时刻的系统功能状态混乱程度的变化度量,数值上等于该时刻事件故障概率分布熵(简称分布熵)。研究表明演化熵只能通过某时刻事件故障概率分布得到,且具有确定的值域范围;演化过程中的事件逻辑关系对演化熵的变化有直接影响,或逻辑使演化熵降低且小于任意参与事件的分布熵,与逻辑使演化熵增加且大于任意参与事件的分布熵;随传递次数增加,与逻辑和或逻辑分别对演化熵的提高和降低作用减小。最后通过实例展示了演化熵的确定过程,总结了目前研究存在的问题,提出了后继研究方向。

To study the chaotic degree of system function state change in the system fault evolution process,the concept of entropy is introduced,and the entropy of the system fault evolution process(evolution entropy for short)is proposed.Evolution entropy is the chaotic degree of the system function state at a certain time in the evolution process.It is a measure of change in the chaotic degree of the system function state when the system evolution develops from one moment to another.It is numerically equal to the event fault probability distribution entropy at that moment(referred to as distribution entropy).The research shows that the evolution entropy can only be obtained from the event fault probability distribution at a certain moment and has a certain range of value domains.The logical relationship of events in the evolution process directly impacts the change in evolution entropy.The OR logic reduces the evolution entropy to less than the distribution entropy of any participating event.Moreover,the AND logic increases the evolution entropy to greater than the distribution entropy of any participating event.With the increase in transfer time,the effect of AND logic and OR logic on the increase and decrease in evolution entropy reduces,respectively.Finally,the determination process of evolution entropy is exhibited by an example,summarizing the problems existing in the current research and putting forward the following research direction.