Design of fractional order PID controller by hybrid adaptive particle swarm optimization based on the average velocity

A novel approach of tuning PID controller is proposed by the improved particle swarm optimization (PSO). The adaptive laws of adjusting the inertia factor and acceleration coefficients according to the definition of the average velocity of particle swarm optimization are designed to increase the convergence rate. A hybrid particle swarm optimization with simulated annealing is presented to prevent particles from converging into the local optimum. This strategy is applied to optimize the parameters of fractional order PID controller, and reduces the steps of iterations. The fractional order PID controller for Buck converter is designed and the simulation results demonstrate that this approach work well. The proposed method enhances the system response and improves the dynamic performance compared with the standard particle swarm optimization.