Abstract
In this paper, a chatter free sliding mode control (SMC) strategy for chaos control is introduced to the nonlinear uncertain chaotic systems in the presence of unknown bounded uncertainties and external disturbances. The sliding mode surface with differential operators is proposed to divert the discontinuous gian function swith term into only one control input, and the control input is smooth and differentiable with respect to time. Based on the Lyapunov stability theory, SMC stability analysis is performed and a theorem serving as designing a chatter free sliding mode control input is also introduced. Finally, numerical simulations are presented to verify the usefulness of the proposed control strategy.
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