Synchronization of chaotic Akgul system by means of feedback linearization and pole placement

In this paper, the synchronization of two identical Akgul systems in configuration master-slave is considered. Since the states and the parameters of these two systems are assumed to be known, the nonlinearities can be compensated in order to obtain the linearization of the corresponding synchronization error dynamics. Next, the pole placement technique is employed to achieve a desired performance with guaranteed stability. The strategy is tested by numerical simulation providing satisfactory results. This is the first time that the synchronization problem for Akgul system is tried to be solved.