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A synchronization scheme for R?ssler system based on Dynamic Surface Control (DSC) is proposed in this paper. The DSC method is a recursive design procedure like conventional backstepping methods. Different from the backstepping design, a first-order filter is introduced in every DSC design step. For this introduced filter, the derivative of the selected virtual control is avoided and then the drawback of “explosion of complexity” existing in backstepping design is overcome. Moreover, adaptive method is used for controller design when the system parameters are unknown. Finally, a numerical example is given to illustrate the effectiveness and performance of the proposed method.
A synchronization scheme for Rössler system based on Dynamic Surface Control (DSC) is proposed in this paper. The DSC method is a recursive design procedure like conventional backstepping methods. Different from the backstepping design, a first-order filter is introduced in every DSC design step. For this introduced filter, the derivative of the selected virtual control is avoided and then the drawback of “explosion of complexity” existing in backstepping design is overcome. Moreover, adaptive method is used for controller design when the system parameters are unknown . Finally, a numerical example is given to illustrate the effectiveness and performance of the proposed method.