Implementation of a fully analog feedback loop with a Carbon-Black-based fractional order controller

Area of Science:

• Electrical Engineering
• Control Theory
• Materials Science

Background:

• Fractional calculus offers advanced mathematical modeling capabilities.
• Fractional-order controllers can enhance system robustness in automatic control.
• Implementing fractional-order elements in analog circuits presents challenges.

Purpose of the Study:

• To physically realize a solid-state fractional-order capacitor.
• To implement a fractional-order lead compensator using the realized capacitor.
• To validate the performance of the analog fractional-order controller through simulations and experiments.

Main Methods:

• Fabrication of a solid-state capacitor utilizing a carbon black-based dielectric.
• Design and implementation of a fractional-order lead compensator circuit.
• Development of a closed-loop control system for experimental validation.
• Comparative analysis of simulation and experimental results.

Main Results:

• Successful physical realization of a solid-state fractional-order capacitor.
• Demonstration of a fully analog fractional-order lead compensator.
• Validation of controller performance through a case study, showing agreement between simulations and experiments.
• Confirmation of the feasibility of analog fractional-order controller implementation.

Conclusions:

• The physical realization of a fractional-order capacitor enables analog implementation of advanced control strategies.
• Analog fractional-order controllers offer a viable alternative for achieving robust control.
• This work paves the way for practical applications of fractional calculus in analog control systems.