Advances in Fractional-Order PID Controllers

Dear Colleagues,

Fractional calculus was introduced as a pure mathematical concept by Leibnitz in the 17th century, but the idea of fractional order control has been known since the end of 19th century. Nevertheless, it was not until Podlubny’s seminal paper which introduced the concept of fractional-order PID controllers that interest began to grow exponentially in the field. In recent decades, there has been a growing number of research works related to fractional control systems and specifically fractional-order PID controllers. These controllers can provide more flexibility in control loop shaping, namely in the frequency domain, and there is a clear physical interpretation of all their parameters. However, a predominant problem remains regarding their cost-effective industrial implementation, and researchers are looking for an “ideal fractional-order PID controller building block”. Indeed, research is ongoing in fractional-order PID design and optimization tools and special math libraries for numerical simulation. Based on the latest developments in embedded HW, novel architectures for fractional controller implementation have emerged, e.g., based on FPGAs. 

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

• Fractional-order PID controllers
• Fractional-order PID controller optimization
• Fractional-order PID controller tuning and autotuning
• Fractional-order PID controller implementation (continuous and discrete)
• Fractional-order PID controller industrialization
• Advanced HW architectures for fractional-order PID controllers (e.g., FPGA-based)
• Interactive design tools and SW libraries for fractional-order PID controllers
• Analogue implementation of fraction-order PID controllers
• Robust fractional-order control
• Stability of fractional-order control systems
• New application domain for fractional control and fractional PID control
• Control oriented fractional calculus and theory
• Fractional-order control systems
• Numerical simulation of fractional-order control systems
• System identification for fractional-order control
• Fractional order control performance assessment

Dr. Martin Čech
Guest Editor

Manuscript Submission Information

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• fractional-order PID controller
• fuzzy PID controller
• neural PID controller
• fractional-order control
• stability analysis
• optimization
• neural networks