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Recent Developments in Disturbance Rejection Control Theory and Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E2: Control Theory and Mechanics".

Deadline for manuscript submissions: closed (30 September 2025) | Viewed by 2445

Special Issue Editors


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Guest Editor
College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
Interests: disturbances estimation and attenuation theory; advanced control theory and its applications on flight control systems; control design of autonomous system

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Guest Editor
School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, China
Interests: nonlinear control systems; active disturbance rejection control; adaptive control

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Guest Editor
Chongqing Key Laboratory of Complex Systems and Bionic Control, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Interests: robot control systems; sliding mode control; active disturbance rejection control
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Special Issue Information

Dear Colleagues,

We are pleased to announce a Special Issue of Mathematics titled "Recent Developments in Disturbance Rejection Control Theory and Applications". We invite you to submit your latest research in the disturbance rejection control field, such as papers on the latest theory analysis methods and their applications in engineering systems.

There are disturbances and uncertainties in the majority of engineering control systems, and they generally adversely affect the performances of closed-loop systems. Control design for nonlinear systems with disturbances is a hot topic in the control field. In recent years, disturbance rejection control has received considerable attention from researchers and engineers. In this field, many disturbance rejection control techniques have been developed by introducing new mathematical analysis tools, and the developed methods are used to handle the effects of various disturbances and system uncertainties, such as sliding-mode control, non-smooth control, H∞ control, output regulation, disturbance observer-based control, active disturbance rejection control, etc. These disturbance rejection control techniques provide many efficient solutions to improve the control performance of complex nonlinear systems, and many of them have also been used in the control of practical systems, such as mechatronic systems, flight control systems, power electric systems, mobile robots, industrial manipulators, and other engineering control systems. Topics of interest include but are not limited to the following:

  • Advanced disturbance rejection Strategies: Novel disturbance estimation method for more general disturbances, as well as new disturbance attenuation or compensation strategies;
  • Stability Analysis: New techniques for the analysis of closed-loop system stability;
  • Practical Applications: Implementations in mechatronic systems, flight control systems, power electric systems, mobile robots, and other nonlinear systems;
  • Simulation Results: Studies showcasing simulation outcomes that validate new control approaches.

Dr. Zhenhua Zhao
Dr. Ting Li
Dr. Huiming Wang
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • disturbance rejection control
  • active disturbance rejection control
  • robust control
  • nonlinear control
  • mechatronic systems
  • flight control systems
  • power electric systems
  • mobile robots
  • nonlinear control system

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Published Papers (2 papers)

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Research

21 pages, 4972 KB  
Article
State of Charge Estimation of Lithium-Ion Batteries Based on Hidden Markov Factor Graphs
by Wei Fang, Zhi-Jian Su, Yu-Tong Shao, Guang-Ping Wu and Peng Liu
Mathematics 2025, 13(18), 2922; https://doi.org/10.3390/math13182922 - 10 Sep 2025
Viewed by 1150
Abstract
Lithium-ion batteries serve as critical energy storage devices and are extensively utilized across diverse applications. The accurate estimation of State of Charge (SOC) is critically important for Battery Management Systems. Traditional SOC estimation methods have achieved progress, such as the Extended Kalman Filter [...] Read more.
Lithium-ion batteries serve as critical energy storage devices and are extensively utilized across diverse applications. The accurate estimation of State of Charge (SOC) is critically important for Battery Management Systems. Traditional SOC estimation methods have achieved progress, such as the Extended Kalman Filter (EKF) and particle filter. However, when there exist uncertainties in battery model parameters and the parameters change dynamically with operating conditions, the EKF tends to produce accumulated errors, which leads to a decline in estimation accuracy. This paper proposes a hybrid approach integrating the EKF with a Hidden Markov Factor Graph (HMM-FG). First, this method uses the EKF to achieve a real-time estimation of the SOC. Then, it treats the EKF-estimated value as an observation through the HMM-FG and combines current and voltage measurement data. It also introduces a factor function to describe the temporal correlation of the SOC and the uncertainty of EKF modeling errors, thereby performing Maximum A Posteriori (MAP) estimation correction on the SOC. Different from the traditional EKF, this method can use future observation information to suppress the error accumulation of the EKF under dynamic parameter changes. Experiments were conducted under different temperatures (0 °C, 25 °C, 45 °C), and a variety of different dynamic operating conditions (FUDS, DST), and comparisons were made with the EKF, Extended Kalman Smoother (EKS), and data-driven method based on LSTM. Full article
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14 pages, 1346 KB  
Article
Composite Continuous High-Order Nonsingular Terminal Sliding Mode Control for Flying Wing UAVs with Disturbances and Actuator Faults
by Hao Wang and Zhenhua Zhao
Mathematics 2025, 13(15), 2375; https://doi.org/10.3390/math13152375 - 24 Jul 2025
Cited by 2 | Viewed by 726
Abstract
Flying wing UAVs are widely used in both civil and military areas and they are vulnerable to being affected by multi-source disturbances and actuator faults due to their unique aerodynamic configuration. This paper proposes composite continuous high-order nonsingular terminal sliding mode control controllers [...] Read more.
Flying wing UAVs are widely used in both civil and military areas and they are vulnerable to being affected by multi-source disturbances and actuator faults due to their unique aerodynamic configuration. This paper proposes composite continuous high-order nonsingular terminal sliding mode control controllers for the longitudinal command tracking control of flying wing UAVs. The proposed method guarantees not only the finite-time convergence of command tracking errors, but also the continuity of control actions. Simulation results validate the effectiveness of the proposed method. Full article
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