Sincronización del sistema caótico de Akgul mediante linealización por retroalimentación y asignación de polos (Synchronization of chaotic Akgul system by means of feedback linearization and pole placement)

José Humberto Pérez Cruz (jose_humberto_perez@yahoo.com)1, Maricela Figueroa (mfigueroag@ipn.mx)1, Salvador Antonio Rodríguez Paredes (sarodriguezp@ipn.mx)1, Abel López Villa (ablopezv@ipn.mx)1


1Instituto Politécnico Nacional

This paper appears in: Revista IEEE América Latina

Publication Date: Feb. 2017
Volume: 15,   Issue: 2 
ISSN: 1548-0992


Abstract:
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.

Index Terms:
Akgul system, master-slave configuration, chaos synchronization, feedback linearization, pole placement   


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