In this paper,a fractional-order adaptive sliding mode controller is designed to synchronise a fractional-order chaotic gyroscope with fractional dynamics.To this end,the error dynamic is defined first and then the ad...In this paper,a fractional-order adaptive sliding mode controller is designed to synchronise a fractional-order chaotic gyroscope with fractional dynamics.To this end,the error dynamic is defined first and then the adaptive slidingmodesynchroniser is designed using through defining a proper sliding surface and estimating uncertainty parameters of the master and slave system and its stability is proved using the Lyapunov theorem.The important point is the efficiency of the controller against input disturbance and uncertainty.Finally,the proposed controller is simulated in MATLAB and the results indicate that the introduced fractional-order chaotic system using an adaptive sliding mode controller is able to synchronise the fractional-order chaotic gyroscope.展开更多
文摘In this paper,a fractional-order adaptive sliding mode controller is designed to synchronise a fractional-order chaotic gyroscope with fractional dynamics.To this end,the error dynamic is defined first and then the adaptive slidingmodesynchroniser is designed using through defining a proper sliding surface and estimating uncertainty parameters of the master and slave system and its stability is proved using the Lyapunov theorem.The important point is the efficiency of the controller against input disturbance and uncertainty.Finally,the proposed controller is simulated in MATLAB and the results indicate that the introduced fractional-order chaotic system using an adaptive sliding mode controller is able to synchronise the fractional-order chaotic gyroscope.
