A new reduced-order observer for the synchronization of nonlinear chaotic systems: An application to secure communications

Journal Article · Thu Oct 15 00:00:00 EDT 2015 · Chaos (Woodbury, N. Y.)

DOI:https://doi.org/10.1063/1.4934650· OSTI ID:22482291

Castro-Ramírez, Joel ^[1]; Martínez-Guerra, Rafael ^[2]

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1. Universidad Politécnica de Tlaxcala Av. Universidad Politecnica de Tlaxcala No.1, San Pedro Xalcaltzinco, Tepeyanco, Tlaxcala, C.P. 90180 (Mexico)
2. Departamento de Control Automático CINVESTAV-IPN, A.P. 14-740, D.F., México C.P. 07360 (Mexico)

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.

• OSTI ID: 22482291
• Journal Information: Chaos (Woodbury, N. Y.), Vol. 25, Issue 10; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1054-1500
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHAOS THEORY
COMMUNICATIONS
COMPUTERIZED SIMULATION
CRYPTOGRAPHY
NONLINEAR PROBLEMS
SYNCHRONIZATION