用曲线拟合技术逼近时滞系统

Kishore Bingi, B. Prusty
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引用次数: 0

摘要

本文主要研究时滞系统的合理逼近的解析模型。该模型的吸引力在于它的简单性和易于实现。该方法利用纯时滞模型的频响数据进行最小二乘迭代,同时使Levy代价函数最小化。与常用的pad方法相比,该方法的阶跃响应特性在各种整数阶和分数阶时滞系统上表现出最好的性能。在积分绝对误差下的数值分析进一步证实了该方法的最佳效果。这对所有考虑的整数阶和分数阶时滞系统都成立。
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Approximation of Time-Delay Systems Using Curve Fitting Technique
This paper focuses on developing an analytical model for rational approximation of time-delay systems. The proposed model's attractiveness is in its simplicity and ease of implementation. The technique uses frequency response data of the pure time-delay model during the least square iteration while minimizing the Levy's cost function. The step-response characteristics of the proposed method have shown the best performance on various integer and fractional-order time-delay systems compared to the frequently used Padé approach. The numerical analysis in integral absolute error has further confirmed the best result of the proposed technique. This is true for all the considered integer and fractional-order time-delay systems.
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