基于广义限时Gramian的模型约简

2017 Australian and New Zealand Control Conference (ANZCC) Pub Date : 2017-12-01 DOI:10.1109/ANZCC.2017.8298482

Deepak Kumar, A. Jazlan, V. Sreeram

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引用次数: 7

摘要

本文针对不稳定系统，提出了一种基于广义时效格拉姆的模型约简方法。所提出的方法也适用于具有极性相反且大小相等的特征值的系统。通过将原系统转化为包含两个Riccati方程解的新系统，对不稳定系统的标准限时格律进行了扩展。最后通过数值算例说明了该方法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Generalized time limited Gramian based model reduction

In this article, a generalized time limited Gramian based model reduction method is presented for unstable systems. The proposed approach is also applicable to a system if it has eigenvalues with opposite polarities and equal magnitude. The standard time-limited Gramians are extended for unstable systems by transforming the original system into a new system which involves the solution of two Riccati equations. The proposed approach is also illustrated by a numerical example.

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2017 Australian and New Zealand Control Conference (ANZCC)

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