Fractional Order Chaotic Secure Communication And Synchronization Module Design

Chaos is a special kind of nonlinear phenomenon,showing the global convergence and local divergence.Chaos is the organic combination of certainty and randomness.Due to three features of chaotic characteristic,the initial value sensitivity,uncertainty and unpredictability for a long time,chaos showed differences from the traditional behavior of the regular movement and random motion,and the beauty of the chaotic attractor exists.Compared with chaotic model in integer order,fractional order chaotic models have stronger objectivity and complexity and become chaotic encryption module of communication;so far confidential level would be significantly improved.Fractional order chaotic encryption needs the first condition of the synchronization on fractional order chaotic systems.The synchronization is the core technology of fractional order chaotic secure communication.In order to ensure the fractional order chaotic encryption being successful,this thesis will focus on the synchronization calculation of fractional order chaotic systems,searching for specific controller that could satisfy the requirement of fractional order chaotic synchronization.The last chapter,I will use calculation example,let the simulation results showing high quality effects of encryption and decryption on the fractional order chaotic systems.Innovation of this thesis includes the following aspects:(1)Fractional order system analysis with parameter perturbation and external noise.Strategy based on adaptive controller is put forward a new model,making theoretical explanation and experimental verification of fractional order chaotic systems synchronization(FOCSS).By using estimate-correction method,I do firstly fractional order chaotic phase diagram;Secondly,based on the score level of Lyapunov stability theorem II,in the adaptive control strategy general controller structure model is built,and then I prove the rationality of the proposed controller in theory;In my example written in MATLAB simulation environment,investigation of the FOCSS effect.The simulation results show that the adaptive controller had successfully realized the synchronization of FOCSS.(2)Compared with two sub-models: mutual coupling controller and adaptive controller.There was no damage from our chaotic equation,synchronization effect,comparison and analysis of synchronization time,etc.MATLAB codes contain the parameter perturbation and external noise based the simulation work on FOCSS,the simulation results show that the adaptive controller was better than that of mutual coupling in view of practical and operational.(3)Adaptive control for identifying parameter perturbation and external noise.Adaptive control strategies are adopted meeting the smallest errors.Through the mathematical proof,I verify the rationality of this designer,then to form the validation with an example,and the simulation results show that the adaptive controller succeeded in identifying the parameters of the system.(4)Sliding mode method aiming at identifying parameter perturbation and external noise.The sliding mode control is intrinsic of high robustness;it optimized the parameter perturbation and external noise of FOCSS on jitter problem.Instance simulation results show that the FOCSS based on sliding mode control gained the characters of stability and antijamming,in superior state to the pure effect of adaptive controller.(5)FOCSS based on sliding mode control.This encryption module use chaotic mask form,realized in MATLAB codes during the chaotic communication encryption and decryption process.Calculation results show that FOCSS controller based on sliding mode control can be successfully implemented the chaotic communication and encryption.