Strategic iniitialization of a hybrid particle swarm optimization-simullated annealing algorithm (HPSOSA) for PID controller design for a nonlinear system

There exist some variations of the particle swarm optimization - simulated annealing optimization technique (PSOSA) hybrid algorithm for solving the PID control design problem, however most of these algorithms use the simulated annealing as a tool to escape local minimums that the PSO algorithm may get trapped in and also these algorithms initialize the particles within the solution space randomly. In this paper, the effects of initializing the particles strategically within the solution space along with the application of the SA algorithm to the hybrid algorithm at each iteration are explored. To test the effectiveness of the proposed modifications the algorithms are compared on common benchmark functions before the modified hybrid algorithm (MPSOSA) is used to design a PID controller for the inverted Pendulum problem.