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 : 1900-01-01 DOI:10.1109/ACCESS.2023.3289849
Xiaolong Wang, Keran Sun, R. 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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具有无界扰动的线性定常系统的基于de控制方法镇定
研究了具有无界扰动的线性定常系统的镇定问题。首先,设计了三个合适的滤波器来渐近估计相应的外部干扰:${w}(t)= {p}\cos (3t)+q $, $w(t)=pe^{0.1t}$和$(p\cos (3t)+q){e^{0.1t}}$,其中$p, q$为未知常数。其次,将线性反馈控制方法与得到的滤波器相结合,提出了一种基于扰动估计器的控制策略,从而实现了系统的镇定。这是首次通过设计合适的滤波器来抑制无界干扰。因此,本文的结论相对于已有的结论有一定的优势。最后,通过计算机仿真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
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
期刊介绍: IEEE Access® is a multidisciplinary, open access (OA), applications-oriented, all-electronic archival journal that continuously presents the results of original research or development across all of IEEE''s fields of interest. IEEE Access will publish articles that are of high interest to readers, original, technically correct, and clearly presented. Supported by author publication charges (APC), its hallmarks are a rapid peer review and publication process with open access to all readers. Unlike IEEE''s traditional Transactions or Journals, reviews are "binary", in that reviewers will either Accept or Reject an article in the form it is submitted in order to achieve rapid turnaround. Especially encouraged are submissions on: Multidisciplinary topics, or applications-oriented articles and negative results that do not fit within the scope of IEEE''s traditional journals. Practical articles discussing new experiments or measurement techniques, interesting solutions to engineering. Development of new or improved fabrication or manufacturing techniques. Reviews or survey articles of new or evolving fields oriented to assist others in understanding the new area.
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