AccScience Publishing / IJOCTA / Online First / DOI: 10.36922/IJOCTA026040014
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RESEARCH ARTICLE

Effective suppression of broadband disturbances using a dual-loop stabilization system

Vadim Zhmud1,2* ,  Lubomir Dimitrov3,4
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1 Department of Electronic Laser Systems, Institute of Laser Physics of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
2 Department of Monitoring of Crustal Deformations, Altai-Sayan branch of the Federal State Budgetary Institution of Science Geophysical Service of the Russian Academy of Sciences, Novosibirsk, Russia
3 Faculty of Mechanical Engineering, Technical University of Sofia, Sofia, Bulgaria
4 Laboratory Mechatronic Systems for Discrete Manufacturing Processes, Centre of Competence MIRACle, Sofia, Bulgaria
IJOCTA, 026040014 https://doi.org/10.36922/IJOCTA026040014
Received: 24 January 2026 | Revised: 6 March 2026 | Accepted: 12 March 2026 | Published online: 6 May 2026
© 2026 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
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Abstract

This article proposes a solution to the problem of suppressing broadband disturbances acting on a controlled object. These disturbances include large low-frequency components and small to medium-frequency components. The paper presents the development of an existing approach that uses two methods to influence the output variable. It is proven that a fundamental property of different control loops is the mandatory intersection of their logarithmic amplitude–frequency characteristics at the frequency corresponding to the boundary between the influence ranges of these loops. This is achieved only if these characteristics have different slopes in this region. Consequently, the slow loop must take the form of a higher-order filter than the fast loop. On this basis, it is demonstrated that the order of the slow loop should be second or higher, while the order of the fast loop is preferably first order. The effectiveness of the method is demonstrated, for the first time, through simulation, including cases with third- and fifth-order transfer functions for the slow loop.

Keywords
Proportional–integral–derivative
Frequency stabilization
Motion separation
Numerical optimization
Mathematical modelling
Funding
This work was accomplished by the Center of Competence for Mechatronics and Clean Technologies ``Mechatronics, Innovation, Robotics, Automation and Clean Technologies''–MIRACle, with the financial support of contract no. BG16RFPR002-1.014-0019-C01, funded by the European Regional Development Fund (ERDF) through the Program ``Research, Innovation and Digitalization for Smart Transformation'' (PRIDST) 2021–2027.
Conflict of interest
The authors declare that they have no conflict of interest in the publication of this article.
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An International Journal of Optimization and Control: Theories & Applications, Electronic ISSN: 2146-5703 Print ISSN: 2146-0957, Published by AccScience Publishing
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