Chaos Synchronization of a New Hyperchaotic Finance System Via a Novel Chatter Free Sliding Mode Control Strategy
نویسندگان
چکیده
Abstract: In this paper, a chatter free sliding mode control(SMC) strategy for chaos synchronization is proposed to the nonlinear uncertain chaotic systems in the presence of unknown bounded uncertainties and external disturbances. The sliding mode surface with differential operators is introduced to divert the discontinuous function swith term into the first derivative of the control input, and the control input is obtained for the chaotic systems with uncertainties. Based on the Lyapunov stability theory, stability analysis is performed and a theorem serving as designing a chatter free sliding mode control input is also introduced. Finally, numerical simulations results indicate the strategy is very effective to chaos synchronization.
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