Applications of Fractional-Order Calculus in Robotics, 2nd Edition

A special issue of Fractal and Fractional (ISSN 2504-3110).

Deadline for manuscript submissions: 31 December 2025 | Viewed by 871

Special Issue Editors


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Guest Editor
Department of Mechanical Engineering and Technology Management, Faculty of Science and Technology, Norwegian University of Life Sciences (NMBU), 1430 Ås, Norway
Interests: fractional calculus; fractional control; fractional modeling; robotics; manipulators
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Guest Editor
Department of Electrical and Electronic Engineering, Universiti Teknologi PETRONAS, Seri Iskandar 32610, Malaysia
Interests: fractional calculus; fractional-order neural networks; forecasting and prediction
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

In the last few decades, fractional calculus has frequently been chosen by researchers as an alternative method for modeling and controlling dynamical systems. The fractional-order approach could provide a more precise analysis of a robotic system than its integer counterpart. This Special Issue is devoted to advancements in the modeling and control of robotic systems utilizing fractional calculus.

This Special Issue aims to introduce new concepts into the field of fractional-order modeling and control and provide a platform for researchers to report these concepts. This Special Issue welcomes contributions from fellow researchers, academics, industry experts, and engineering students working on a similar topic.

The following are examples of possible areas of interest, but they are not exhaustive:

  • Fractional-order control;
  • Developments in the tuning of fractional controllers applied to robotics;
  • Fractional control strategies for different robotic systems;
  • Fractional calculus applied to UAVs;
  • Adaptive fractional-order control of robotic systems;
  • Developments of optimized control algorithms for modeling fractional-order control;
  • Modeling of fractional-order behavior of robotic systems;
  • Fractional calculus applied to underactuated robotic systems;
  • Developments of optimized algorithms for fractional modeling.

Dr. Abhaya Pal Singh
Dr. Kishore Bingi
Guest Editors

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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2700 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

  • fractional calculus
  • fractional control
  • fractional modeling
  • robotics
  • fractal manipulators

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Published Papers (1 paper)

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Research

26 pages, 6168 KB  
Article
Integrated Analysis of Mapping, Path Planning, and Advanced Motion Control for Autonomous Robotic Navigation
by Kishore Bingi, Abhaya Pal Singh, Rosdiazli Ibrahim, Anugula Rajamallaiah and Nagoor Basha Shaik
Fractal Fract. 2025, 9(10), 640; https://doi.org/10.3390/fractalfract9100640 - 30 Sep 2025
Viewed by 347
Abstract
Autonomous robotic navigation is essential in modern systems for revolutionising various industries that operate in both static and dynamic environments. To achieve this autonomous navigation, various conventional techniques that handle environment mapping, path planning, and motion control as individual modules often face challenges [...] Read more.
Autonomous robotic navigation is essential in modern systems for revolutionising various industries that operate in both static and dynamic environments. To achieve this autonomous navigation, various conventional techniques that handle environment mapping, path planning, and motion control as individual modules often face challenges in addressing the complexities of autonomous navigation. Therefore, this paper presents an integrated technique that combines three essential components, such as environment mapping, path planning, and motion control, to enhance autonomous navigation performance. The first component, i.e., the mapping, utilises both binary and probabilistic occupancy maps to represent the environment. The second component is path planning, which incorporates various graph- and sampling-based algorithms such as PRM, A*, Hybrid A*, RRT, RRT*, and BiRRT, which are evaluated in terms of path length, computational time, and safety margin on various maps. The final component, i.e., motion control, utilises both conventional and advanced controller strategies such as PID, FOPID, SFC, and MPC, for better sinusoidal trajectory tracking. The four case studies for path planning and one case study on trajectory tracking on various occupancy maps demonstrated that the A* algorithm and MPC outperformed all the compared techniques in terms of optimal path length, computational time, safety margin, and trajectory tracking error. Thus, the proposed integrated approach reveals that the interplay between mapping fidelity, planning efficiency, and control robustness is vital for reliable autonomous navigation. Full article
(This article belongs to the Special Issue Applications of Fractional-Order Calculus in Robotics, 2nd Edition)
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