Gain-Scheduled Robust Fault Detection on Time-Delay Stochastic Nonlinear Systems
Gain-Scheduled Robust Fault Detection on Time-Delay Stochastic Nonlinear Systems
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DOI：
10.1109/tie.2010.2103537
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发表时间：
2011-01
影响因子：
7.7
通讯作者：
Yanyan Yin;P. Shi;Fei Liu
中科院分区：
文献类型：
--
作者：
Yanyan Yin;P. Shi;Fei Liu
研究了一类跳跃率部分已知的时滞随机非线性系统的连续增益调度鲁棒故障检测问题。利用梯度线性化方法，在选定的运行状态附近构造随机线性模型和基于滤波的残差信号产生器。此外，为了保证对故障的敏感性和对未知输入的鲁棒性，首先设计了H-∞滤波器，使干扰和建模不确定性的影响最小化，然后设计了一个新的性能指标来增加对故障的灵敏度，从而为这类线性模型设计了RFD滤波器。随后，利用线性矩阵不等式技术，给出了RFDF存在的一个充分条件。最后，采用连续增益调度方法设计了整个非线性跳跃系统的连续RFDF。仿真算例表明，该方法能够在故障发生后的较短时间内准确地检测出故障。
This paper studies the problem of continuous gain-scheduled robust fault detection (RFD) on a class of time-delay stochastic nonlinear systems with partially known jump rates. By means of gradient linearization procedure, stochastic linear models and filter-based residual signal generators are constructed in the vicinity of selected operating states. Furthermore, in order to guarantee the sensitivity to faults and robustness against unknown inputs, an RFD filter (RFDF) is designed for such linear models by first designing H∞ filters that minimize the influences of the disturbances and modeling uncertainties and then a new performance index that increases the sensitivity to faults. Subsequently, a sufficient condition on the existence of RFDF is established in terms of linear matrix inequality techniques. Finally, a continuous gain-scheduled approach is employed to design continuous RFDFs on the entire nonlinear jump system. A simulation example is given to illustrate that the proposed RFDF can detect the faults correctly and shortly after the occurrences.