Circuit Simulation and Adaptive Sliding Mode Control of New Fractional Order Chaotic Systems
According to the typical integer order Liu chaotic system,a new fractional order chaotic system controlled by the same unknown parameter is proposed.The chaotic character-istics of the new fractional order chaotic system are fully verified by studying the equilibrium point,sensitivity of initial value,phase trajectory diagram,Lyapunov exponent diagram and bifurcation diagram of the new fractional order chaotic system;The circuit simulation of the system is realized by Multisim,and the experimental results verify the feasibility of the circuit implementation of the system;Finally,an adaptive sliding mode controller is designed to ob-tain the system synchronization under the influence of disturbance and unknown parameters.
fractional orderthe same unknown parameteradaptive sliding mode controllersystem synchronization