Mathematical Methods on Control Engineering in Mechatronics: Advances and Challenges

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: 31 October 2024 | Viewed by 1040

Special Issue Editor


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Guest Editor
School of Engineering, Computing and Mathematics, Oxford Brookes University, Wheatley Campus, Wheatley, Oxford OX33 1HX, UK
Interests: mechatronics; control & automation; artificial intelligence
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Mechatronics is a multidisciplinary field that combines mechanical engineering, electrical engineering, and computer science to design, control, and optimize advanced systems. Control engineering plays a crucial role in the design and operation of mechatronic systems, as it enables the precise and efficient control of their various components. However, the application of control engineering in mechatronics is still an active research area, with many challenges and opportunities yet to be explored.

The proposed Special Issue aims to highlight the latest advances and challenges in the application of control engineering in mechatronics. The Special Issue will focus on the following topics:

  • Advanced control algorithms for mechatronic systems, including model predictive control, adaptive control, and nonlinear control;
  • The control of multi-domain systems, such as systems with mechanical, electrical, and thermal domains;
  • The control of uncertain systems, including systems with parametric uncertainty, unmodeled dynamics, and nonlinearities;
  • The control of networked mechatronic systems, including distributed control, cooperative control, and communication networks;
  • Applications of control engineering in mechatronics, including robotics, autonomous systems, and smart manufacturing;
  • Applications of control engineering in stationary energy storage systems.

The Special Issue will be of interest to researchers and practitioners in the fields of control engineering, mechatronics, robotics, and related fields. The Special Issue will provide a comprehensive overview of the latest advances and challenges in the application of control engineering in mechatronics. It will also serve as a valuable resource for researchers and practitioners in the field, and will promote further research and development in this area.

The Special Issue invites original research articles, review articles, and case studies. All submissions will be subject to a peer-review process. Submissions should be made through the journal's online submission system.

Dr. Aydin Azizi
Guest Editor

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. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

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Keywords

  • mechatronics
  • controller design
  • optimization
  • AI techniques
  • dynamic systems
  • stability
  • controllability
  • observability
  • energy storage systems

Published Papers (1 paper)

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21 pages, 5078 KiB  
Article
The Robust Adaptive Control of Leader–Follower Formation in Mobile Robots with Dynamic Obstacle Avoidance
by Amirreza Parvareh, Mojtaba Naderi Soorki and Aydin Azizi
Mathematics 2023, 11(20), 4267; https://doi.org/10.3390/math11204267 - 12 Oct 2023
Viewed by 720
Abstract
In this paper, the problem of formation control with regard to leader–follower mobile robots in the presence of disturbances and model uncertainties, without needing to know the velocity of the leader robot, is presented. For this purpose, at first, a first-order kinematic model [...] Read more.
In this paper, the problem of formation control with regard to leader–follower mobile robots in the presence of disturbances and model uncertainties, without needing to know the velocity of the leader robot, is presented. For this purpose, at first, a first-order kinematic model of leader–follower and leader–leader formations is obtained, and considering the absolute velocity of the leader robots as an uncertainty, a robust adaptive controller is designed to keep the desired formation. In this case, the upper bound of uncertainty is unknown and is obtained via stable adaptive laws. Afterwards, in order to deal with the accelerated robots and obstacles, second-order leader–follower and leader–leader formation models are obtained from the previous models. A robust adaptive controller is then designed to stabilize the entire system in the presence of disturbances and modeling uncertainties, without needing to know the parameters or matrices of the formation models. In addition, by considering one of the leaders in the leader–leader model as a virtual obstacle, the challenge of avoiding moving obstacles is also addressed in the presence of uncertainties. The simulation results show the effect of the presented controllers in effectively keeping the desired leader–follower formations. Full article
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