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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
computer science
Backstepping controller design for the global chaos synchronization of Sprott’s jerk systems
Studies in Computational Intelligence, Volume 581, Year 2015
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Description
This research work investigates the global chaos synchronization of Sprott’s jerk chaotic system using backstepping control method. Sprott’s jerk system (1997) is algebraically the simplest dissipative chaotic system consisting of five terms and a quadratic nonlinearity. Sprott’s chaotic system involves only five terms and one quadratic nonlinearity, while Rössler’s chaotic system (1976) involves seven terms and one quadratic nonlinearity. This work first details the properties of the Sprott’s jerk chaotic system. The phase portraits of the Sprott’s jerk system are described. The Lyapunov exponents of the Sprott’s jerk system are obtained as L1= 0.0525, L2= 0 and L3= −2.0727. The Lyapunov dimension of the Sprott’s jerk system is obtained as DL= 2.0253. Next, an active backstepping controller is designed for the global chaos synchronization of identical Sprott’s jerk systems with known parameters. The backstepping control method is a recursive procedure that links the choice of a Lyapunov function with the design of a controller and guarantees global asymptotic stability of strict-feedback chaotic systems. Finally, an adaptive backstepping controller is designed for the global chaos synchronization of identical Sprott’s jerk systems with unknown parameters. MATLAB simulations are provided to validate and demonstrate the effectiveness of the proposed active and adaptive chaos synchronization schemes for the Sprott’s jerk systems. © Springer International Publishing Switzerland 2015.
Authors & Co-Authors
Vaidyanathan, Sundarapandian
Unknown Affiliation
Idowu, Babatunde A.
Nigeria, Lagos
Lagos State University
Azar, Ahmad Taher
Egypt, Benha
Benha University
Statistics
Citations: 245
Authors: 3
Affiliations: 2
Identifiers
Doi:
10.1007/978-3-319-13132-0_3
ISSN:
1860949X