Advances in Fractional-Order Control with Special Focus to Power Systems

Dear Colleagues,

Fractional calculus, initially introduced by Leibniz in the 17th century as a purely mathematical concept, has evolved over the years. The notion of fractional-order control emerged toward the end of the 19th century, and the control community witnessed a surge of interest triggered by a highly cited paper from Podlubny, which introduced the revolutionary concept of fractional-order PID controllers.

In recent decades, there has been a notable increase in research dedicated to fractional control systems, with a specific focus on fractional-order PID controllers. These controllers offer enhanced flexibility in shaping control loops, particularly in the frequency domain, all while maintaining a clear physical interpretation of each parameter.

Despite these advancements, challenges persist in achieving cost-effective industrial implementation, prompting researchers to actively seek the elusive "ideal fractional-order PID controller building block". Ongoing efforts in fractional-order PID design and optimization tools, along with the development of specialized mathematical libraries for numerical simulation, are indicative of the commitment to overcoming these challenges.

The latest strides in embedded hardware have given rise to novel architectures for fractional controller implementation, leveraging technologies such as FPGAs. This highlights a dynamic landscape of exploration and innovation within the realm of fractional calculus and control systems.

The fractional control of power systems and electronics is an emerging application domain highly addressed in the control community (e.g., boost converters). Process control (e.g., liquid-level control) is another important application domain. However, further advancement in fractional system implementation and analysis is still needed.

Contributions should fit the scope of the journal Fractal and Fractional, and topics of interest include (but are not limited to) the following:

1. Fractional-order PID controllers;
2. Fractional-order PID controllers optimization and tuning;
3. Fractional-order PID controllers implementation (continuous and discrete);
4. Fractional-order PID controllers industrialization;
5. Advanced edge HW architectures for fractional-order PID controllers (e.g. FPGA-based);
6. Interactive design tools and SW libraries for fractional-order PID controllers;
7. Analogue implementation of fraction-order PID controllers;
8. Robust and adaptive fractional-order control;
9. Stability of fractional-order control systems;
10. New application domain for fractional control and fractional PID control;
11. Control oriented fractional calculus and theory;
12. Fractional-order control systems;
13. Numerical simulation of fractional-order control systems;
14. System identification for fractional-order control;
15. Fractional order control performance assessment;
16. Fractional control in power systems and electronics;
17. Fractional systems in advanced process control.

Dr. Martin Čech
Guest Editor

Manuscript Submission Information

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• fractional-order controllers
• fractional-order PID controllers
• fractional-order systems
• adaptive fractional-order control
• robust control
• advanced process control
• power systems
• control performance assessment
• system identification