Advances in Fractional Order Systems and Robust Control, 2nd Edition

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

Deadline for manuscript submissions: 21 May 2024 | Viewed by 484

Special Issue Editor


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Guest Editor
School of Automation, China University of Geosciences, Wuhan 430074, China
Interests: complex network system analysis and control; nonlinear system dynamics analysis and control; intelligent control
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Special Issue Information

Dear Colleagues,

Nowadays, fractional differential calculus has been applied to the study of dynamic systems. Fractional  calculus  is  a  generalization  of  the  classical  integration  and  differentiation operators to non-integer order. Because of the unique characteristics of historical memory,  the dynamic process of a real problem can be described more accurately using fractional order systems. Meanwhile, most systems in reality are highly coupled linear or nonlinear systems and there are always dynamic uncertainties  in  the  modeling. These uncertainties reduce the performance of controllers designed based on accurate mathematical models. Therefore, it is necessary to study the robust control of the uncertain linear or nonlinear fractional order 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 robust control. Topics of interest include, but are not limited to, the following:

  • Stability analysis and robust control of linear fractional order systems;
  • Stability analysis and robust control of the linear time-varying periodic fractional order systems;
  • Stability and robust control of fractional order T-S fuzzy systems;
  • Robust control method for interval uncertain fractional order systems;
  • Robust control for uncertain linear fractional order systems with external uncertain perturbations;  
  • Robust controller design method for nonlinear uncertain fractional order systems;
  • Robust control for nonlinear fractional order systems with parametric uncertainties;
  • Robust control for uncertain nonlinear fractional order systems with time-varying uncertainties;
  • Robust control method for uncertain nonlinear fractional order systems with stochastic perturbations. 

Please feel free to read and download all publications in our first volume via:
https://www.mdpi.com/journal/fractalfract/special_issues/frac_robust_control

Prof. Dr. Feng Liu
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

  • fractional order systems
  • fractional differential equations
  • robust control
  • fractional controllers
  • stability analysis
  • modeling

Published Papers (1 paper)

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Research

16 pages, 758 KiB  
Article
Finite-Time Adaptive Event-Triggered Control for Full States Constrained FONSs with Uncertain Parameters and Disturbances
by Changhui Wang, Wencheng Li and Mei Liang
Fractal Fract. 2024, 8(5), 249; https://doi.org/10.3390/fractalfract8050249 - 25 Apr 2024
Viewed by 350
Abstract
This article focuses the event-triggered adaptive finite-time control scheme for the states constrained fractional-order nonlinear systems (FONSs) under uncertain parameters and external disturbances. The backstepping scheme is employed to construct the finite-time controller via a series of barrier Lyapunov function (BLF) to solve [...] Read more.
This article focuses the event-triggered adaptive finite-time control scheme for the states constrained fractional-order nonlinear systems (FONSs) under uncertain parameters and external disturbances. The backstepping scheme is employed to construct the finite-time controller via a series of barrier Lyapunov function (BLF) to solve that all the state constraints are not violated. Different from the trigger condition with fixed value, the event-triggered strategy is applied to overcome the communication burden of controller caused by the limited communication resources. By utilizing fractional-order Lyapunov analysis, all variables in the resulted system are proven to be bounded, and the tracking error converges to the small neighborhood around origin in finite time and without the Zeno behavior. Finally, the effectiveness of the proposed control scheme is verified by the simulation analysis of a bus power system. Full article
(This article belongs to the Special Issue Advances in Fractional Order Systems and Robust Control, 2nd Edition)
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