Fractional-variable-order digital controller design tuned with the chaotic yellow saddle goatfish algorithm for the...

Area of Science:

• Electrical Engineering
• Control Systems
• Optimization Algorithms

Background:

• Automatic Voltage Regulator (AVR) systems are critical for maintaining stable power grids.
• Traditional PID controllers face limitations in handling complex, dynamic systems.
• Variable-order control offers potential for enhanced system performance.

Purpose of the Study:

• To design novel fractional-variable-order PID (FVOPID) digital controllers for AVR systems.
• To introduce an optimization method utilizing the yellow saddle goatfish algorithm (YSGA) with a new fitness function.
• To evaluate the performance of the proposed FVOPID controllers against existing solutions.

Main Methods:

• Development of two types of FVOPID digital controllers.
• Application of the yellow saddle goatfish algorithm (YSGA) for controller optimization.
• Simulation and comparative analysis of controller performance.
• Stability analysis using the Nyquist stability criterion.

Main Results:

• The proposed FVOPID controllers designed with YSGA demonstrate superior performance for the AVR system compared to existing methods.
• Variable-order control strategies show significant advantages in AVR system regulation.
• The Nyquist stability criterion confirms the stability of the closed-loop system with the proposed controllers.

Conclusions:

• The YSGA-based FVOPID controllers offer an effective and improved solution for AVR system design.
• Variable-order control presents a promising advancement for enhancing automatic voltage regulation.
• The study validates the efficacy and stability of the proposed control approach.