A Novel Algebraic Saturation-Based PID Controller Optimized by Animated Oat Algorithm for Ultra-Fast Dynamic Response...

Area of Science:

• Control Systems Engineering
• Electrical Engineering
• Applied Mathematics

Background:

• Automatic Voltage Regulator (AVR) systems require precise control for stable power generation.
• Conventional Proportional-Integral-Derivative (PID) controllers face limitations in balancing response speed and overshoot.
• Nonlinear control strategies are explored to overcome these inherent trade-offs.

Purpose of the Study:

• To introduce a novel Algebraic Saturation-based Proportional-Integral-Derivative (ASB-PID) controller.
• To enhance dynamic response, speed, and damping in AVR systems.
• To optimize controller parameters using a robust metaheuristic algorithm.

Main Methods:

• Development of an ASB-PID controller featuring an algebraic nonlinear transformation for adaptive sensitivity.
• Optimization of ASB-PID controller parameters using the Animated Oat Optimization Algorithm (AOOA).
• Benchmarking against metaheuristic algorithms (PSO, GWO, WOA, SCA) and advanced AVR controllers (G-PID, FOPID).

Main Results:

• The AOOA-optimized ASB-PID controller achieved a 0.0215 s rise time and 0.0383 s settling time.
• Demonstrated zero overshoot and negligible steady-state error.
• Significantly outperformed competing optimization algorithms and state-of-the-art control designs in simulations.

Conclusions:

• The proposed ASB-PID controller offers a computationally efficient and scalable solution for high-performance AVR systems.
• The algebraic saturation mechanism provides superior transient speed and overshoot suppression compared to conventional nonlinear designs.
• The AOOA algorithm proves effective for optimizing complex, nonlinear control tuning problems.