Particle Swarm Optimization for Control of Nonlinear Dynamics

Chaos control refers to any form of manipulation of chaotic dynamical behavior exhibited by complex nonlinear systems. A chaotic system in general cannot be made to converge to a freely evolving desired trajectory, whether periodic or chaotic, because of the inherent unpredictability of the system. The control of chaos in this context consists of forcing the system to evolve along the desired trajectory. Control of these systems is difficult because in these systems the natural tendency of nearby trajectories is to diverge exponentially in phase space, due to the sensitive dependence on initial conditions. A new approach to particle motion in swarm optimization is developed for control of chaotic systems