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首页> 外文期刊>Advances in Electrical and Electronic Engineering >A New Biased Model Order Reduction for Higher Order Interval Systems
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A New Biased Model Order Reduction for Higher Order Interval Systems

机译:高阶区间系统的一种新的有偏模型降阶。

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摘要

This paper presents a new biased method for order reduction of linear continuous time interval systems. This method is based on the Stability equation method, Pade approximation and Kharitonov’s theorem. The higher order interval system is represented by four Kharitonov transfer functions using the Kharitonov’s theorem, and then reduced order models are obtained by the general form of the Stability equation method and Pade approximation. The Stability equation method is used to obtain a reduced order denominator polynomial while the Pade approximation is used for reduced order numerator coefficients. This method generates a stable reduced order model if the original higher order interval system is stable. The proposed method is illustrated with the help of typical numerical examples considered from the literature, and these are compared with well-known methods to show the efficacy of the proposed method.
机译:本文提出了一种用于线性连续时间间隔系统降阶的新方法。该方法基于稳定性方程法,Pade近似和Kharitonov定理。高阶区间系统使用哈里顿诺夫定理由四个哈里顿诺夫传递函数表示,然后通过稳定性方程法和Pade近似的一般形式获得降阶模型。稳定性方程方法用于获得降阶分母多项式,而Pade近似用于降阶分子系数。如果原始的高阶间隔系统稳定,则此方法将生成稳定的降阶模型。借助于文献中考虑的典型数值示例对提出的方法进行了说明,并将这些示例与众所周知的方法进行比较,以显示提出的方法的有效性。

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