Particle swarm optimization with external chaotic noise

A particle swarm optimization (PSO) model with an external chaotic noise input is proposed. The new PSO model has a nonlinear noise term instead of the linear inertial term of the standard PSO. Even though it is completely deterministic, the proposed PSO model gets chaotic and has ability to search globally. For solving nonlinear optimization problems, combined with the chaotic annealing (CA) method which decreases the control parameter of a chaotic system, the proposed PSO model has ability to find the globally optimal point with high probability.