title: A new reduced-order observer for the synchronization of nonlinear chaotic systems: An application to secure communications.
abstract: This paper deals with the master-slave synchronization scheme for partially known nonlinear chaotic systems, where the unknown dynamics is considered as the master system and we propose the slave system structure which estimates the unknown states. It introduced a new reduced order observer, using the concept of Algebraic Observability; we applied the results to a Sundarapandian chaotic system, and by means of some numerical simulations we show the effectiveness of the suggested approach. Finally, the proposed observer is utilized for encryption, where encryption key is the master system and decryption key is the slave system.
authors.affiliation: Universidad Politécnica de Tlaxcala Av. Universidad Polit́ecnica de Tlaxcala No.1, San Pedro Xalcaltzinco, Tepeyanco, Tlaxcala, C.P. 90180, Mexico.
authors.forename: Joel
authors.initials: J
authors.lastname: Castro-Ramírez
authors.affiliation: Departamento de Control Automático CINVESTAV-IPN, A.P. 14-740, D.F., México C.P. 07360, Mexico.
authors.forename: Rafael
authors.initials: R
authors.lastname: Martínez-Guerra
authors.affiliation: Universidad Politécnica de Tlaxcala Av. Universidad Politécnica de Tlaxcala No.1, San Pedro Xalcaltzinco, Tepeyanco, Tlaxcala, C.P. 90180, Mexico.
authors.forename: Juan Crescenciano
authors.initials: JC
authors.lastname: Cruz-Victoria