Optimal PID control design for synchronization of delayed discrete chaotic systems

This paper is concerned with the design of a proportional-integral-derivative (PID) controller for synchronization of delayed discrete chaotic models. The evolutionary programming algorithm (EPA) has been considered as a useful technique for finding global optimization solutions for certain complicated functions in recent years. Therefore, in this paper, we attempt to use the EP algorithm in PID control design for deriving optimal or near optimal PID control gains such that a performance index between the master and slave chaotic systems is minimized. A numerical result exemplifies the synchronization procedure.