Integrated design of fault detection systems in time-frequency domain
Integrated design of fault detection systems in time-frequency domain
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DOI：
10.1109/9.983385
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发表时间：
2002-08
期刊：
影响因子：
--
通讯作者：
H. Ye;S. Ding;G. Wang
中科院分区：
文献类型：
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作者：
H. Ye;S. Ding;G. Wang
研究了鲁棒故障检测(FD)系统集成设计的有关问题。首先，由于引入了实现基于2范数的评价函数的时间窗，在实际应用中，采用基于2范数的评价函数的FD系统的最优设计可能不能保证系统的预期最优性能。针对这一问题，提出了一种以残差信号绝对值为评价函数的故障诊断系统的综合设计方法。它导致了一个更容易实现的残差产生器。不同于通常的基于2范数的方法，其数学基础是动态系统的输出和输入信号的能量之间的关系，建立了动态系统的输出信号的瞬时功率和过去输入信号的能量之间的关系，并进一步用于FD系统设计。提出了一种新的基于残差信号小波变换绝对值的评价函数，并给出了相应的故障诊断系统的综合设计方法。
Problems related to the integrated design of robust fault detection (FD) systems are studied. First, it is revealed that due to the time window introduced to realize the 2-norm based evaluation function, an optimal design of a FD system with the 2-norm based evaluation function may not ensure the expected optimal performance when the system is realized in real applications. To solve this problem, an integrated design method of FD systems using the absolute value of residual signal as evaluation function is then proposed. It leads to a residual generator which is much easier to be realized. Different from the usual 2-norm based approaches whose mathematical basis is the relationship between the energy of the output and input signals of a dynamic system, a relationship between the instant power of the output signal and the energy of the past input signal of a dynamic system is established and further used for FD system design. Another new kind of evaluation function based on the absolute value of wavelet transform of residual signal and the corresponding integrated design approach for FD systems are further proposed.