Fractional-Order Control Systems Under Uncertainty: Advanced Methods and Applications

Dear Colleagues,

Fractional-order control has emerged as a powerful framework for modeling and controlling complex dynamical systems exhibiting memory and hereditary properties. In addition to advanced control strategies, fractional-order extensions of classical controllers, such as fractional-order PID (FOPID), have demonstrated significant advantages in terms of flexibility and performance.

Despite these advances, real-world systems are inherently affected by various sources of uncertainty, including parameter variations, external disturbances, incomplete modeling, and measurement noise.

This Special Issue aims to bring together recent advances in fractional-order control systems operating under uncertainty, covering both classical and modern control approaches. The scope is intentionally broad and includes traditional methods such as FOPID controllers as well as advanced methodologies, including robust, adaptive, stochastic, and optimization-based control. Contributions involving Model Predictive Control (MPC), Sliding Mode Control (SMC), and data-driven or learning-based approaches in the fractional-order framework are particularly encouraged.

We invite the submission of original research articles and review papers addressing theoretical developments, computational methods, and real-world applications of fractional-order control under uncertainty.

Topics of Interest include (but are not limited to) the following:

• Fractional-order PID (FOPID) control design and tuning under uncertainty
• Classical fractional-order controllers and their practical implementation
• Fractional-order system modeling under uncertainty
• Robust fractional-order control
• Adaptive and self-tuning fractional-order controllers
• Fractional-order Model Predictive Control (MPC)
• Sliding Mode Control (SMC) in fractional-order systems
• Stochastic and probabilistic approaches to fractional-order control
• Identification and estimation of fractional-order systems
• Fractional-order observers and state estimation
• Stability and robustness analysis of fractional-order systems
• Time-delay fractional-order systems and control
• Networked and distributed fractional-order control systems
• Data-driven and learning-based fractional-order control
• Optimization and metaheuristic tuning methods for fractional-order controllers
• Numerical methods and discretization of fractional-order operators
• Implementation aspects (digital realization, embedded and FPGA-based control)
• Fault-tolerant and resilient fractional-order control
• Fractional-order control in cyber-physical systems
• Applications in engineering systems (energy, mechatronics, process control, biomedical, etc.)

Dr. Radek Matušů
Prof. Dr. Bilal Şenol
Dr. Libor Pekař
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 250 words) can be sent to the Editorial Office for assessment.

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.

• fractional-order control
• FOPID
• uncertainty
• robust control
• model predictive control
• sliding mode control
• adaptive control
• system identification
• nonlinear systems
• data-driven control
• control applications