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动态系统“类等效”模型测辨及多可调参数的Padé模型降阶
IDENTIFICATION OF“QUASI-EQUIVALENT”MODEL AND PAD(?) APPROXIMATION WITH MULTI-ADJUSTABLE PARAMETERS FOR DYNAMICAL SYSTEMS
【摘要】 本文提出了一种时域和频域测辨相结合的线性定常系统测辨新方法。当高阶系统传递函数已知时,它就是具有多可调参数的Pade逼近。此法由测辨高阶系统前n阶时间矩和测辨描述系统主要动态性能的一些典型频率响应数据,确定动态系统“类等效”简化模型的参数。此外,“外推函数”的使用有效地提高了时矩测辨的精度。实例表明,本方法简易、精确和灵活,适于工程建模,便于工程设计。
【Abstract】 A new method which combines both time domain and frequency domain identification for identifying linear timeinvariant dynamic systems is presented in this paper. When the transfer function of a high order system is given, this can be called a Pade approximation with multi-adjustable parameters. In this method, parameters of the “quasi-equivalent”model of the dynamic system are estimated by identifying the first few of the leading low order time moments and the corresponding frequency response data that characterizes the dominant dynamic performance of the high order system. In addition, the precision of the calculation of time moments is effectively improved through the method of“extrapolation function”. Practical examples of identification and reduction illustrate that this is a simple and convenient method with high precision and can be satisfactorily used in engineering modelling and design.
- 【文献出处】 自动化学报 ,Acta Automatica Sinica , 编辑部邮箱 ,1985年01期
- 【被引频次】14
- 【下载频次】65