Metaheuristics-Based Optimization of a Robust GAPID Adaptive Control Applied to a DC Motor-Driven Rotating Beam with
Fábio Galvão Borges1, Márcio Guerreiro2, Paulo Eduardo Sampaio Monteiro1
1Graduate Program in Electrical Engineering (PPGEE), Federal University of Technology-Paraná (UTFPR), R. Dr. Washington Subtil Chueire, 330, Jardim Carvalho, Ponta Grossa 84017-220, PR, Brazil.
This study compares metaheuristics like Genetic Algorithm (GA) and Particle Swarm Optimization (PSO) for optimizing Gaussian Adaptive PID (GAPID) controllers. The optimized GAPID controllers demonstrate superior performance and robustness in DC motor control compared to traditional PID.
Area of Science:
- Control Systems Engineering
- Computational Intelligence
- Robotics
Background:
- Traditional PID controllers struggle with robustness and performance under varying loads.
- Adaptive control methods often face challenges with abrupt transitions.
- Optimizing adaptive controller parameters lacks a standardized mathematical approach.
Purpose of the Study:
- To compare the effectiveness of two metaheuristic optimization techniques, Genetic Algorithm (GA) and Particle Swarm Optimization (PSO), in tuning Gaussian Adaptive PID (GAPID) controllers.
- To evaluate the performance, convergence, and solution quality of six variations of GA and PSO for GAPID parameter optimization.
- To demonstrate the enhanced performance and robustness of the optimized GAPID controller for a DC motor with variable load compared to a linear PID.
Main Methods:
- Utilized six variations each of Genetic Algorithm (GA) and Particle Swarm Optimization (PSO) as bio-inspired optimization algorithms.
- Applied these algorithms to optimize the parameters of a Gaussian Adaptive PID (GAPID) controller, focusing on its concavity and gain bounds.
- Tested the optimized GAPID controller on a DC motor system with a variable load, performing load and gain sweep tests.
Main Results:
- The optimized Gaussian Adaptive PID (GAPID) controllers exhibited fast response times with minimal overshoot.
- Results demonstrated significant robustness to load variations, with minimal performance degradation.
- The metaheuristic optimization techniques (GA and PSO) effectively identified optimal parameters for the GAPID controller.
Conclusions:
- Optimized GAPID controllers significantly outperform traditional linear PID controllers in terms of speed, overshoot, and robustness.
- Metaheuristic algorithms like GA and PSO are effective tools for tuning complex adaptive control systems where mathematical methods are insufficient.
- The proposed GAPID control strategy offers a robust and high-performance solution for systems with dynamic load conditions, such as DC motors.
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