Recent Advances in Adaptive Fractional Sliding Mode Control

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".

Deadline for manuscript submissions: 1 June 2024 | Viewed by 1466

Special Issue Editor


E-Mail Website
Guest Editor
The Polytechnic School, Ira Fulton School of Engineering, Arizona State University, Mesa, AZ 85212, USA
Interests: data-driven control; fractional robust control; robotics

Special Issue Information

Dear Colleagues,

Sliding mode control is one of the most important nonlinear robust control methods. The main part of designing sliding mode control is how to generate the sliding mode surface. Fractional calculus extends the traditional integer-order calculus by allowing the consideration of non-integer orders of differentiation and integration. This capability enables us to design an effective fractional sliding mode surface to more effectively model and control systems with fractional dynamics. This flexibility in designing an adaptive fractional sliding mode control leads to improved precision in tracking desired trajectories, robustness against external disturbances, reduced chattering phenomena, improved transient response, and reduced control effort. This method is highly encouraged for application in robotics and dynamic systems.

The focus of this Special Issue is to continue to advance research on topics relating to the theory, design, implementation, and application of fractional order systems and adaptive sliding mode control; contributions should fit the scope of the journal Fractal and Fractional, and topics of interest include (but are not limited to):

  • Fractional-order behavior modeling of robotic systems;
  • Fractional calculus applied to robotic systems;
  • Fractional-order control systems and implementation;
  • Adaptive fractional sliding mode control.

Dr. Mehran Rahmani
Guest Editor

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 100 words) can be sent to the Editorial Office for announcement on this website.

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. Fractal and Fractional is an international peer-reviewed open access monthly 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 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

  • sliding mode control
  • fractional calculus
  • robustness
  • chattering phenomena

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

14 pages, 4800 KiB  
Article
Robot Manipulator Control Using a Robust Data-Driven Method
by Mehran Rahmani and Sangram Redkar
Fractal Fract. 2023, 7(9), 692; https://doi.org/10.3390/fractalfract7090692 - 18 Sep 2023
Viewed by 1178
Abstract
Robotic manipulators with diverse structures find widespread use in both industrial and medical applications. Therefore, designing an appropriate controller is of utmost importance when utilizing such robots. In this research, we present a robust data-driven control method for the regulation of a 2-degree-of-freedom [...] Read more.
Robotic manipulators with diverse structures find widespread use in both industrial and medical applications. Therefore, designing an appropriate controller is of utmost importance when utilizing such robots. In this research, we present a robust data-driven control method for the regulation of a 2-degree-of-freedom (2-DoF) robot manipulator. The nonlinear dynamic model of the 2-DoF robot arm is linearized using Koopman theory. The data mode decomposition (DMD) method is applied to generate the Koopman operator. A fractional sliding mode control (FOSMC) is employed to govern the data-driven linearized dynamic model. We compare the performance of Koopman fractional sliding mode control (KFOSMC) with conventional proportional integral derivative (PID) control and FOSMC prior to linearization by Koopman theory. The results demonstrate that KFOSMC outperforms PID and FOSMC in terms of high tracking performance, low tracking error, and minimal control signals. Full article
(This article belongs to the Special Issue Recent Advances in Adaptive Fractional Sliding Mode Control)
Show Figures

Figure 1

Back to TopTop