Stabilization of Linear Time-Invariant Systems With Unbounded Disturbances via DE-Based Control Method

IF 3.6 3区计算机科学 Q2 COMPUTER SCIENCE, INFORMATION SYSTEMS IEEE Access Pub Date : 2023-01-01 DOI:10.1109/ACCESS.2023.3289849

Xiaolong Wang;Keran Sun;Rongwei Guo

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Abstract

This paper investigates the stabilization problem of linear time-invariant (LTI) systems with unbounded disturbances. Firstly, three suitable filters are designed to asymptotically estimate the corresponding external disturbances:

${w}(t)= {p}\cos (3t) + q$

$w(t)=pe^{0.1t}$

, and

$(p\cos (3t)+q){e^{0.1t}}$

, where

$p, q$

are unknown constants. Secondly, a disturbance estimator (DE)-based control strategy is proposed by combining the linear feedback control method with the obtained filters, and thus the stabilization of such systems is realized. It is the first time to suppress the unbounded disturbances by designing suitable filters. Thus, the presented conclusions have some advantages over the existing ones. Finally, illustrative examples with computer simulation verify the effectiveness and correctness of the proposed results.

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基于DE的无边界扰动线性时不变系统的镇定控制方法

研究了具有无界扰动的线性时不变（LTI）系统的镇定问题。首先，设计了三个合适的滤波器来渐近估计相应的外部扰动：${w}（t）={p}\cos（3t）+q$，$w（t）=pe^{0.1t}$和$（p\cos（3t）+q）{e^{0.1t}}$，其中$p，q$是未知常数。其次，将线性反馈控制方法与所获得的滤波器相结合，提出了一种基于扰动估计器的控制策略，从而实现了系统的稳定。首次通过设计合适的滤波器来抑制无边界扰动。因此，所提出的结论与现有结论相比具有一定的优势。最后，通过计算机仿真实例验证了所提结果的有效性和正确性。

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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来源期刊

IEEE Access COMPUTER SCIENCE, INFORMATION SYSTEMSENGIN-ENGINEERING, ELECTRICAL & ELECTRONIC

CiteScore

9.80

自引率

7.70%

发文量

6673

审稿时长

6 weeks

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