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中文摘要：
研究在系统工作频率范围为低频区间情形下的离散时间线性时滞系统模型降阶问题.首先根据时滞系统在零频点处传递函数的性质,构造了一类匹配其零频响应的带有可调参数的扩展线性时滞系统,进而在其基础上结合已有的时滞系统平衡截断法给出了新的低频模型降阶算法.通过调节其中的设计参数,新方法所得降阶时滞系统模型能够以任意精度逼近原系统的零频响应特性,进而可以用于改善低频范围内的模型逼近性能.数值算例验证了所提方法的有效性和优越性.
英文摘要：
This paper deals with model＇s order reduction of discrete-time linear delay systems over low frequency ranges. By introducing a class of parameterized linear systems matching the given delay system at zero frequency, a new balanced truncation based model reduction method is proposed. It is shown that the approximation error at zero frequency can be regulated to be arbitrarily small by scaling the design parameter. A numerical example is included to show the effectiveness and superiority of the proposed method.
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