通过多项式丢番图方程的H2范数的有效和符号计算

2022 UKACC 13th International Conference on Control (CONTROL) Pub Date : 2022-04-20 DOI:10.1109/Control55989.2022.9781359

Gareth H. Willetts, Timothy H. Hughes

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引用次数: 0

摘要

H2规范是一种广泛使用的指标，用于描述和优化各种应用的系统性能。本文提出了一种计算H2范数的替代方法，该方法比现有方法更具计算效率，并提供更高的数值精度，同时还允许以数字或符号方式计算H2范数。系统的稳定性测试可以在不增加计算成本的情况下进行。

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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Efficient and symbolic computation of the H2 norm via the polynomial Diophantine equation

The H2 norm is a widely used metric for characterising and optimising system performance for a wide variety of applications. This article presents an alternative method for calculating the H2 norm which is more computationally efficient than existing methods, and delivers greater numerical precision, while also allowing for the H2 norm to be calculated numerically or symbolically. A stability test of the system can be performed at no added computational cost.

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2022 UKACC 13th International Conference on Control (CONTROL)

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