一种新型的非参数模型及其在系统辨识中的应用

A New Non-Parameter Model and Its Application to System Identification

本文给出了一个求解广义正交多项式的微分运算矩阵的新方法；应用对连续线性系统的脉冲响应函数进行正交逼近的方法来讨论脉冲响应函数的实现问题，得到了一类新型的非参数模型，并导出了利用该模型来辨识连续线性系统的脉冲响应函数的算法．最后给出了例子证实本文所给方祛的有效性．

In this peper, a new method of solving the differentiation operetional matrix of the general orthogonal polynomials is proposed. The realization problem of impulse response function is discussed by using the method of approximation impulse response function via orthogonal polynomials, and a non-parameter model is obtained. An algorithm of identification of the impulse response function using this model is given. At last, an example is presented to illustrated the effectiveness of this method.