Volume 32 Issue 11
Nov.  2006
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Meng Xiaofeng, Ji Hong, Wang Guohua, et al. Maximum entropy method for fault prior probabilities[J]. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(11): 1320-1323. (in Chinese)
Citation: Meng Xiaofeng, Ji Hong, Wang Guohua, et al. Maximum entropy method for fault prior probabilities[J]. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(11): 1320-1323. (in Chinese)

Maximum entropy method for fault prior probabilities

  • Received Date: 30 Apr 2006
  • Publish Date: 30 Nov 2006
  • To solve precision problem of fault prior probabilities, the calculation model of fault prior probabilities based on maximum entropy theory was proposed. Through this model, which could make full use of the given prior information as the constraints of maximum likelihood estimation and based on Lagrange function, the calculation problem of fault prior probabilities was transformed to non-constrained optimization problem. The non-constrained optimization problem was solved rapidly, based on the gradient method mixed by steepest decent method and Newton method. When the faults were overabundant in large scale system, the highly multidimensional fault space could be decomposed by the principle of decomposition of system. The fast calculation method of fault prior probabilities was given in lowly multidimensional space. With the comparison of the result calculated by the maximum entropy method and the MTTF(mean time to failure) method respectively, the maximum entropy method was proved to be more precise.

     

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  • [1] Somnath Deb, Krishna R P, Vijay R, et al. Mufti-signal flow graphs:a novel approach for system testability analysis and fault diagnosis[J]. IEEE Aerospace and Electronics Magazine,1995, 10 (5):14-25 [2] Vijaya R, Mojdeh S, Krishna R P. Test sequencing problems arising in test planning and design for testability[J]. IEEE Transactions on Systems, Man and Cybernetics—Part A:Syatems and Humans, 1999,29(2):153-163 [3] 杨世凤,付连昆,陈新宇,等.设备故障诊断最优搜索策略的求解[J].振动、测试与诊断, 2004,24(2):117-120 Yang Shifeng, Fu Liankun, Chen Xinyu, et al. Solution to optimal searching of equipment fault diagnosis[J]. Journal of Vibration, Measurement & Diagnosis,2004,24(2):117-120(in Chinese) [4] 韩光臣,孙树栋,王军强,等.复杂系统模糊概率故障图模型研究[J].中国机械工程,2005,16(9):801-804 Han Guangchen, Sun Shudong, Wang Junqiang, et al. Probability research on fault graph model of complex system based on fuzzy probability[J]. China Mechanical Engineering, 2005, 16(9):801-804(in Chinese) [5] 齐怡,沈士团,李驿华,等.故障诊断专家系统中诊断决策方法的研究[J].航空学报, 2003,24(2):147-151 Qi Yi, Shen Shituan, Li Yihua, et al. Study of decision making method diagnostic expert system[J]. Acta Aeronautica et Astronautica Sinica, 2003, 24(2):147-151(in Chinese) [6] Fang Tu, Krishna R P, Somnath Deb, et al. Computationally efficient algorithms for multiple fault diagnosis in large graph-based systems[J]. IEEE Trans on SMC, 2003, 33(1):73-85 [7] Abbas A E. Entropy methods for joint distributions in decision analysis . IEEE Transactions on Engineering Management, 2006,53(1):146-159 [8] 陈珽.决策分析[M].北京:科学出版社,1987:15-17 Chen Ting. Decision analysis[M]. Beijing:Science Press, 1987:15-17(in Chinese)
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