高线性n阶系统的频域反馈控制器设计

IF 2.6 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2025-09-10 DOI:10.1016/j.cam.2025.117052

Guang-Da Hu

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引用次数: 0

摘要

研究了线性高阶系统的反馈镇定问题。利用基本矩阵的分块矩阵表达式，导出了系统的稳定性判据。我们还给出了基本矩阵的分块矩阵表达式中第一行的傅里叶变换公式。基于稳定性准则和第一行的傅里叶变换公式，提出了一种频域方法来设计系统的稳定控制器。我们强调，本文中所有的计算只涉及较小大小的矩阵。给出了数值算例来说明主要结果。

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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Feedback controller design in the frequency domain for high linear n− order systems

We investigate feedback stabilization of linear high-order systems. Using a block matrix expression of the fundamental matrix, stability criteria of the systems are derived. We also present the Fourier transform formulas of the first row in the block matrix expression of the fundamental matrix. Based on the stability criteria and the Fourier transform formulas of the first row, a frequency-domain method is presented to design a stabilizing controller of the systems. We emphasize that all the computations in this paper involve only matrices with lower size. Numerical examples are given to illustrate the main results.

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来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.