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本文利用矩形窗最小二乘估计构造了非线性系统的参数空间边界辨识方法。参数边界辨识方法的分析表明,利用该方法辨识的参数值是样本状态邻域中非线性系统切空间的参数上下界。基于这种参数边界辨识方法,建立了一种系统结构突变故障检测器。并对二阶非线性系统进行的数字仿真得到了有效的边界参数估计和良好的故障检测结果。
In this paper, rectangular windows least squares estimation is used to construct the parameter space boundary identification method for nonlinear systems. The analysis of parameter boundary identification method shows that the parameter value identified by this method is the parameter upper and lower bounds of the tangent space of the nonlinear system in the sample state neighborhood. Based on this parameter boundary identification method, a system structure mutation fault detector is established. And the numerical simulation of the second-order nonlinear system obtains effective boundary parameter estimation and good fault detection results.