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针对传统非线性系统故障诊断方法中存在的线性化误差、滤波发散等问题,对一类含有测量噪声及执行器时变故障的非线性系统研究一类新的故障诊断方法。通过将系统的非线性动态及故障扩张为一新的状态,构造一种可用于故障诊断的扩张状态滤波器,并在此基础上推证出增广系统渐进稳定的充分条件,给出具有鲁棒H∞性能的故障诊断滤波器设计方法,同时借助于原系统中已知的非线性动态,对滤波后的新扩张状态进行故障分离,实现对故障的滤波及诊断。用该方法对具有测量噪声的典型非线性系统Van der pol振荡器,在分别发生恒值和时变故障情形下进行仿真研究。结果表明,所提方法能较好地解决含噪非线性系统的滤波及故障诊断问题。
Aiming at the problems of linearization error and filter divergence in traditional nonlinear system fault diagnosis methods, a new class of fault diagnosis methods is studied for a class of nonlinear systems with measurement noise and time-varying faults in actuators. By expanding the nonlinear dynamics and fault of the system into a new state, an extended state filter which can be used for fault diagnosis is constructed. On the basis of this, a sufficient condition for the asymptotic stability of augmented system is given. Fault diagnosis filter design method of rod H∞ performance. At the same time, with the aid of the known nonlinear dynamics in the original system, the filtered new expansion state can be separated to realize fault filtering and diagnosis. By using this method, a typical non-linear Van der pol oscillator with measurement noise is simulated and simulated under constant and time-varying faults respectively. The results show that the proposed method can solve the problem of filtering and fault diagnosis of noisy nonlinear systems.