A Review Based on Synchronization of Fractional Order Chaotic System via Sliding Mode Controller

As fractional order chaotic system (FOCS) is the deterministic and nonlinear system which displays unpredictable, noisy and complex behavior. The vast applicability of FOCS in physics and engineering is accompanied by a problem of synchronization. The latest field of FOCS has attracted attention of researchers to design various control systems and system theory for better modeling and control enhancement. This report compares (1) the improved characteristics of the newly proposed fractional order model with a class of well-known FOCS and elaborates its capability to enhance the performance of secure communication, (2) Synchronization of the new FOCS when the master is in either chaotic mode or chaos-suppressed mode. Therefore, this report presents different schemes and methods for FOCS to improve in terms of synchronization through implementation of sliding mode controller (SMC). Among these, the best approach being introduced was use of active sliding mode for the purpose to get better synchronization of the FOCS. This report opens an avenue for further study in terms of finite time convergence for FOCS to get an efficient and effective synchronization.