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本文应用移位一般形式正交多项式进行系统辨识,并用于建立电液恒压泵和电气位置伺服系统的数学模型。本文方法可同时求得系统连续时间模型的未知参数和时延时间。整个辨识过程只需利用简单的系统响应信号(如阶跃响应)即可完成,不需附加的辨识激励信号。所以,这种方法具有更强的工程实用性。实践表明,本文所用方法的辨识结果具有令人满意的精度和稳定性,它可方便地推广至其他实际系统的模型辨识。
In this paper, the shift general form of orthogonal polynomials is used to identify the system and to establish the mathematical model of electro-hydraulic constant pressure pump and electrical position servo system. The proposed method can obtain the unknown parameters and the delay time of the system continuous-time model simultaneously. The entire recognition process can be accomplished using simple system response signals (such as step response) without the need for additional identification of excitation signals. Therefore, this method has more practical engineering. Practice shows that the identification results of the method used in this paper have satisfactory accuracy and stability, which can be conveniently extended to model identification of other real systems.