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劣化系统的故障诊断和检测策略的综合研究

On Fault Diagnosis and Inspection Policy for Deteriorating System

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【作者】 王丽英方攸同苏丽颖刘宝友

【Author】 Wang Liying1,Fang Youtong2,Su Liying3,Liu Baoyou1 1.Department of Mathematics and Physics,Shijiazhuang Railway Institute,Shijiazhuang 050043,P.R.China2.College of Electrical Engineering,Zhejiang University,Hangzhou 310027,P.R.China3.College of Mechanical Engineering,Beijing University of Technology,Beijing 100022,P.R.China

【机构】 石家庄铁道学院数理系浙江大学电气工程学院北京工业大学机电学院

【摘要】 研究系统的故障诊断和检测策略问题。假定系统有两种工作状态(正常、异常)和一种故障状态。每隔一段随机时间检测一次系统。检测目的是通过诊断参数的观测值,确定系统的状态并采取适当的维修措施。由于系统的劣化和巨额的更换费用,在对系统进行更换之前,先进行修复非新的维修。利用概率分析和向量Markov过程方法推导出系统的各种可靠性指标,并求出诊断参数的最优临界值和最优检测周期。该最优值使稳态收益率最大。数值算例说明这种方法是可行的。

【Abstract】 The fault diagnosis and inspection policy were discussed for a system which has two operating states(normal,ab-normal)and a failure state.The system is inspected periodically.The purpose of inspection is to identify the state of system and adopt appropriate repair strategy by measuring the value of diagnosis parameter.Because the system is deteriorated gradually and a replacement is expensive,several imperfect repairs are allowed until a replacement is needed.The objective of this paper is to determine the optimal critical value of diagnosis parameter and the optimal inspection cycle such that the ex-pected profit per unit in steady states is maximized.Reliability indexes of the system are also derived.Probability analysis and vector Markov process are used in this paper.Researches on the numerical example show the feasibility of the policy.

【基金】 国家“863”计划(2005AA505101-506);北京市组织部优秀人才(20061D0501500204)资助
  • 【会议录名称】 第二十六届中国控制会议论文集
  • 【会议名称】第二十六届中国控制会议
  • 【会议时间】2007-07-26
  • 【会议地点】中国湖南张家界
  • 【分类号】TP277;O211.62
  • 【主办单位】中国自动化学会控制理论专业委员会(Technical Committee on Control Theory,Chinese Association of Automation)
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