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Nonlinear Dynamics and Control in Electromechanical Systems

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Mechanical Engineering".

Deadline for manuscript submissions: 20 December 2026 | Viewed by 1453

Special Issue Editors


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Guest Editor
School of Aerospace Engineering, Xi’an Jiaotong University, Xi’an 710049, China
Interests: vibration; nonlinear dynamics; rotor dynamics
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Department of Mechatronics Engineering, Harbin Institute of Technology, Harbin 150001, China
Interests: rotor dynamics; control; mechanical dynamics; vibration
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Department of Engineering Mechanics, School of Aerospace Engineering, Xi'an Jiaotong University, Xi'an 710049, China
Interests: nonlinear dynamics; neural dynamics; control; stability

Special Issue Information

Dear Colleagues,

The application of nonlinear dynamics and control theory in electromechanical systems such as high-performance motors, flexible robots, and micro-electromechanical systems (MEMS) is currently a popular topic for research. The key for these applications lies in exploring and utilizing nonlinear behaviors, including chaos, bifurcations, stability, and limit cycles, to overcome the limitations of traditional linear control methods and achieve control with higher precision, greater efficiency and enhanced robustness. However, challenges exist for this approach. The multi-variable, strongly coupled, and time-varying nature of electromechanical systems make accurate modeling difficult. The design of nonlinear controllers faces substantial real-time computational burdens, and requires a balance between theoretical rigor and practical implementability. Effort can be made in the in depth integration of intrinsic nonlinear properties and high-performance computational technologies with advanced nonlinear control strategies. Alternatively, the neural network could be combined with the nonlinear solver or with the control algorithm to achieve optimized nonlinear solutions or optimal control in electromechanical systems. Therefore, this Special Issue aims to gather recent advances in nonlinear dynamics and the control of electromechanical systems to drive research and design of the next generation of products, with a focus on greater efficiency, autonomy, and reliability. The main topics include, but are not limited to, the following:

  • Nonlinear dynamics of electromechanical systems;
  • Stability and bifurcation theory for electromechanical systems;
  • Advanced analysis or computing methods in dynamic systems;
  • Dynamic modeling for complex nonlinear systems;
  • Data-driven methods for analysis or control;
  • Stability control methods for strong nonlinear systems;
  • Nonlinear controller for electromechanical systems;
  • Intelligent control of electromechanical systems;
  • Electromechanical control systems based on reinforcement learning.

Dr. Yeyin Xu
Prof. Dr. Zhaobo Chen
Prof. Dr. Yong Xie
Guest Editors

Manuscript Submission Information

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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. Applied Sciences 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 2400 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

  • nonlinear dynamics
  • vibrations
  • electromechanical systems
  • intelligent control
  • data-driven
  • system modeling
  • computing method

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Published Papers (1 paper)

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Research

23 pages, 7892 KB  
Article
Semi-Analytical Nonlinear Solutions and Stabilities in a Brushless Electric Motor System
by Xinya Wang, Chengfei Li, Yeyin Xu, Jianfeng Jiang, Hao Wang and Zhaobo Chen
Appl. Sci. 2026, 16(7), 3342; https://doi.org/10.3390/app16073342 - 30 Mar 2026
Viewed by 262
Abstract
Brushless motors are characterized by extreme power density, thermal management and steady dynamic performance which are commonly utilized in aerospace, high-end robotics and precision medical equipment. The nonlinear solutions and the corresponding stabilities in the brushless DC motor system reveal the inherent current-speed [...] Read more.
Brushless motors are characterized by extreme power density, thermal management and steady dynamic performance which are commonly utilized in aerospace, high-end robotics and precision medical equipment. The nonlinear solutions and the corresponding stabilities in the brushless DC motor system reveal the inherent current-speed properties. In this study, the semi-analytical solutions and the corresponding stabilities in the brushless DC motor system are obtained via a discretized mapping method. The governing equations are discretized into nonlinear polynomials through an implicit mid-point scheme. The semi-analytical solution trees from period-1 to period-2 and period-1 to period-4 are obtained. Some independent periodic solutions are observed. The stability and bifurcations are obtained quantitatively where the period-doubling bifurcations trigger the bifurcation trees and saddle-node bifurcations bound the independent solutions. Interestingly, unstable bifurcation trees are also observed. For verification, numerical simulation is conducted. The stable and unstable properties of current–velocity coupling dynamics are discussed finally. Full article
(This article belongs to the Special Issue Nonlinear Dynamics and Control in Electromechanical Systems)
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