Optimal H ∞ $$ {\mathcal{H}}_{\infty } $$ Problem and Application to Controlled Asymptotic Filtering

IF 3.2 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS International Journal of Robust and Nonlinear Control Pub Date : 2025-02-10 DOI:10.1002/rnc.7835

Jovan Stefanovski

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Abstract

The optimal variant of one-sided $H_{\infty}$ -problem is elaborated, and an LMI-based algorithm is presented, which works in the generic case. An application in controlled asymptotic filtering is presented, in which the matrices of the $H_{\infty}$ -problem are affine functions of controller coefficients. These two results are illustrated with examples.

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最优 H ∞ $$ {mathcal{H}}_{\infty }$$ 问题及其在受控渐近滤波中的应用

阐述了单边 H ∞ $$ {\mathcal{H}}_{\infty }$ 问题的最优变体，并提出了一种基于 LMI 的算法，该算法适用于一般情况。$$ 问题进行了详细阐述，并提出了一种基于 LMI 的算法，该算法适用于一般情况。介绍了受控渐近滤波中的应用，其中 H ∞ $$ {\mathcal{H}}_{\infty }$ - 问题的矩阵是仿射的。$$ 问题的矩阵是控制器系数的仿射函数。这两个结果将通过实例加以说明。

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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来源期刊

International Journal of Robust and Nonlinear Control 工程技术-工程：电子与电气

CiteScore

6.70

自引率

20.50%

发文量

505

审稿时长

2.7 months

期刊介绍： Papers that do not include an element of robust or nonlinear control and estimation theory will not be considered by the journal, and all papers will be expected to include significant novel content. The focus of the journal is on model based control design approaches rather than heuristic or rule based methods. Papers on neural networks will have to be of exceptional novelty to be considered for the journal.

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