Eigen Value Computation Based Approach for Reduced Order Modeling for Interval Systems

Anju Kalangadan, N. Priya, T. S. Sunil Kumar
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引用次数: 2

Abstract

A new method of model order reduction technique for interval system is proposed here. The reduced order denominator coefficients are determined by combined benefits of reciprocal transformation, principal pseudo break frequency and a new method of eigen spectrum analysis. Then the reduced order numerator coefficients are obtained using polynomial coefficient matching method. Optimization method can also be used for determining the coefficients of reduced order numerator. In this paper Luus -- Jaakola optimization technique is tried. This method guaranteed a stable reduced order model for the stable higher order system along with performance matching. The illustrated examples using MATLAB simulation show the effectiveness of the proposed method.
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基于特征值计算的区间系统降阶建模方法
本文提出了区间系统模型降阶技术的一种新方法。利用倒易变换、主伪断裂频率和一种新的特征谱分析方法的综合优势确定了降阶分母系数。然后采用多项式系数匹配法得到降阶分子系数。优化方法也可用于确定降阶分子系数。本文尝试了Luus—Jaakola优化技术。该方法保证了稳定高阶系统的稳定降阶模型和性能匹配。通过MATLAB仿真算例验证了该方法的有效性。
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