Advances in Mathematical Model and Machine Learning-Based Control for Small-Scale Robots

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

Deadline for manuscript submissions: 10 June 2025 | Viewed by 2226

Special Issue Editor


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Guest Editor
Department of Industrial and Systems Engineering, The Hong Kong Polytechnic University, Hong Kong, China
Interests: microrobotics; control; machine learning
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Special Issue Information

Dear Colleagues,

Small-scale robotics is attracting increasing attention in both fundamental research and applications. The tiny size of such robots enables them to work in many scenarios beyond the capabilities of traditional robots, e.g., inspection in narrow regions, targeted delivery in the human body, and so on. Through mathematical modeling and control design, the working efficiency and precision of these robots are enhanced. To further elevate the levels of intelligence for small-scale robots, i.e., to be more independent of humans and able to learn advanced behaviors, advanced control methods and machine learning are required to support high-level autonomous task execution. However, the complexities of fluid and mechanism modeling at small scales lead to difficulty in controlling via rigorous mathematical methods. Thus, the design paradigm of controllers prefers model-free and direct learning. Driven by these emerging demands, novel solutions including robust control, disturbance observers, and machine learning are required to impel the level of autonomy of small-scale robots, thus enhancing their intelligence.

The aim of this Special Issue is to provide a forum for researchers to present their original contributions describing their experience and approaches towards a wide range of control and machine learning techniques applied to small-scale robotics. Research and review papers that showcase the latest developments in theoretical analysis, simulations, and experiments are welcome.

Dr. Lidong Yang
Guest Editor

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Keywords

  • small-scale robots
  • microrobots
  • control
  • machine learning
  • deep learning
  • model-free control

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Published Papers (1 paper)

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Review

19 pages, 2469 KiB  
Review
Automated Magnetic Microrobot Control: From Mathematical Modeling to Machine Learning
by Yamei Li, Yingxin Huo, Xiangyu Chu and Lidong Yang
Mathematics 2024, 12(14), 2180; https://doi.org/10.3390/math12142180 - 11 Jul 2024
Cited by 1 | Viewed by 1895
Abstract
Microscale robotics has emerged as a transformative field, offering unparalleled opportunities for innovation and advancement in various fields. Owing to the distinctive benefits of wireless operation and a heightened level of safety, magnetic actuation has emerged as a widely adopted technique in the [...] Read more.
Microscale robotics has emerged as a transformative field, offering unparalleled opportunities for innovation and advancement in various fields. Owing to the distinctive benefits of wireless operation and a heightened level of safety, magnetic actuation has emerged as a widely adopted technique in the field of microrobotics. However, factors such as Brownian motion, fluid dynamic flows, and various nonlinear forces introduce uncertainties in the motion of micro/nanoscale robots, making it challenging to achieve precise navigational control in complex environments. This paper presents an extensive review encompassing the trajectory from theoretical foundations of the generation and modeling of magnetic fields as well as magnetic field-actuation modeling to motion control methods of magnetic microrobots. We introduce traditional control methods and the learning-based control approaches for robotic systems at the micro/nanoscale, and then these methods are compared. Unlike the conventional navigation methods based on precise mathematical models, the learning-based control and navigation approaches can directly learn control signals for the actuation systems from data and without relying on precise models. This endows the micro/nanorobots with high adaptability to dynamic and complex environments whose models are difficult/impossible to obtain. We hope that this review can provide insights and guidance for researchers interested in automated magnetic microrobot control. Full article
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