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A Novel Gudermannian Function-Driven Controller Architecture Optimized by Starfish Optimizer for Superior Transient
Davut Izci1,2, Serdar Ekinci3, Mostafa Jabari4
1Department of Electrical and Electronic Engineering, Bursa Uludag University, 16059 Bursa, Turkey.
Biomimetics (Basel, Switzerland)
|January 27, 2026
Summary
This study introduces a novel Gudermannian function-based PID controller for automatic voltage regulators. Optimized using the starfish algorithm, it significantly improves transient performance in dynamic power systems.
Area of Science:
- Electrical Engineering
- Control Systems
Background:
- Automatic Voltage Regulator (AVR) systems are crucial for maintaining stable power grids.
- Traditional PID controllers struggle with highly dynamic conditions and large signal variations.
Purpose of the Study:
- To develop an enhanced PID controller using the Gudermannian function for improved AVR transient performance.
- To optimize the controller parameters using the Starfish Optimization Algorithm (SFOA).
Main Methods:
- The Gudermannian function was integrated into a PID controller structure (G-PID).
- The Starfish Optimization Algorithm (SFOA) was employed for optimal parameter tuning.
- Simulations were conducted to evaluate transient performance under dynamic conditions.
Main Results:
- The SFOA-optimized G-PID controller achieved a fast rise time (0.0551 s) with zero overshoot and a quick settling time (0.0830 s).
- The proposed controller demonstrated superior performance compared to various optimization algorithms and advanced control schemes.
- The G-PID controller showed enhanced adaptability to large signal variations and effective overshoot suppression.
Conclusions:
- The proposed SFOA-optimized G-PID controller offers a computationally efficient and structurally simple solution for high-performance voltage regulation.
- This approach significantly enhances the transient response of AVR systems in modern power grids.
- The Gudermannian function integration provides a robust method for improving controller adaptability and stability.
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