title: Runge-Kutta model-based nonlinear observer for synchronization and control of chaotic systems.
abstract: This paper proposes a novel nonlinear gradient-based observer for synchronization and observer-based control of chaotic systems. The model is based on a Runge-Kutta model of the chaotic system where the evolution of the states or parameters is derived based on the error-square minimization. The stability and convergence conditions of observer and control methods are analyzed using a Lyapunov stability approach. In numerical simulations, the proposed observer and well-known sliding-mode observer are compared for the synchronization of a Lü chaotic system and observer-based stabilization of a Chen chaotic system. The noisy case for synchronization and parameter uncertainty case for stabilization are also considered for both observer-based methods.
authors.affiliation: Department of Electrical and Electronics Engineering, Pamukkale University, Kinikli Campus, 20070 Denizli, Turkey. sbeyhan@pau.edu.tr
authors.forename: Selami
authors.initials: S
authors.lastname: Beyhan
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D005246:Feedback; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D009716:Numerical Analysis, Computer-Assisted