Control and synchronization of chaotic systems based on a hybrid electromagnetism-like mechanism algorithm
基于混合类电磁机制算法的混沌系统控制与同步

By using optimization method, we can design the control law for controlling and synchronizing chaotic systems to operate onto the desired directional orbits of chaotic dynamical systems. The electromagnetism-like algorithm(EM) is a meta-heuristic optimization method which simulates the attraction-repulsion behavior of electrically charged particles in the process of approaching the desired points. To the best of our knowledge, there is no research work on EM for control and synchronization of chaotic systems. In this paper, an effective hybrid electromagnetism-like algorithm(HEM) is presented to solve these optimization problems. The HEM combines the revised electromagnetism-like algorithm(REM) and the differential evolutionary algorithm(DE) to strive for a well balance between the global exploration and the local exploitation. The experimental results of benchmark functions show that this hybrid configuration greatly improves both the global optimization performance and the reliability performance. The proposed HEM has been applied to guide the orbits of discrete chaotic systems towards the desired target region within a short period of time, under a small bounded perturbation. Moreover, the synchronization of chaotic systems can be considered a problem of online guiding of orbits, solved by HEM algorithm. Numerical simulation results on the Henon mapping demonstrate the effectiveness of this hybrid.