Advances in Fractional-Order PID Control: Theory and Applications
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Engineering".
Deadline for manuscript submissions: 30 June 2026 | Viewed by 57
Special Issue Editors
Interests: fractional calculus; neuromorphic computing; evolutionary optimisation; applied mathematics; optimisation; artificial intelligence
Special Issues, Collections and Topics in MDPI journals
Interests: stability; fractional order systems; time delay systems; perturbation methods; bifurcation analysis; nonlinear systems
Special Issue Information
Dear Colleagues,
This Special Issue aims to compile high-quality contributions on the theoretical development, analysis, and practical implementation of Fractional-Order PID (FOPID) controllers across a broad spectrum of complex systems. Given the growing interest in fractional systems as a robust mathematical framework for describing memory and the hereditary properties of various materials and processes, this Special Issue seeks to promote innovative research in fractional-order control, encompassing both fundamental advances and real-world applications.
Particular attention is devoted to topics that bridge the gap between theoretical control formulations and their deployment in engineering systems characterized by chaotic dynamics, distributed delays, nonlinearity, or hybrid behaviors. Contributions that address emerging challenges in automatic control, optimization, robustness analysis, and signal processing through fractional-order strategies are especially welcome.
Manuscript submissions are due by 30 June 2026. This Special Issue is hosted under the section Engineering. Researchers are encouraged to submit original work that addresses, but is not limited to, the following topics of interest:
- Optimization and tuning techniques for Fractional-Order PID controllers using algorithms with data-driven, heuristic-based, or derivative-free features, to mention a few.
- Robustness analysis including iso-damping design, statistical sensitivity to gain variations, disturbance rejection, and performance under plan uncertainties.
- Hardware and real-time implementation, including analogue, FPGA-based, neuromorphic computing, or embedded system architectures, and industrial deployment challenge.
- Novel application domains include power systems, automatic generation control in hybrid power networks, temperature and thermal regulation, robotics, biomedical devices, and closed-loop deep brain stimulation.
- Formal analysis and verification methods for Fractional-Order PID controllers using theorem proving or higher-order logic to ensure correctness and safety in critical applications.
- Hybrid control schemes combining Fractional-Order PID with sliding mode control, fuzzy logic, or LQR for improved performance on oscillatory or delayed systems.
- Fractional-order system identification, numerical simulation platforms, software libraries, and control-oriented fractional calculus development.
- Stability analysis and closed-loop performance evaluation of fractional-order control systems through frequency and time-domain.
Dr. Jorge Mario Cruz-Duarte
Dr. César-Fernando Méndez-Barrios
Guest Editors
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 systems
- PID control
- control theory
- chaotic dynamics
- automatic control
- real-world applications
- time-delay systems
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