Finite Time Synchronization Of Fractional-Order Chaotic Systems And Its Application

Fractional calculus theory came into being very early.Because of its pivotal position in practical engineering and science and technology,its theoretical research has been effectively developed.In addition,as a special form of motion,chaos has been widely and deeply studied in many fields.The fractal-order chaotic control system combined with the two systems is widely used in the field of secure communication due to its high control precision and good synchronization control reproducibility.With the rapid development of computer technology,researchers have been enthusiastic about the synchronization and control of fractional chaotic systems.At present,the research on the synchronization strategy of fractal-order chaotic system is not perfect,so it is very meaningful to study the established to ensure the a symptotic stability of fractional-order chaotic systems.In this paper,the control of two kinds of fractional-order chaotic systems,the self-structure synchronization and heterostructure synchronization of fractional-order chaotic systemsare studied.The main contents are as follows:Firstly,the control of two kinds of fractional-order chaotic systems is discussed.Firstly,the non-fragile fuzzy control of fractional-order chaotic systems is discussed.Another kind of adaptive fuzzy terminal sliding mode control for fractional order.The established to ensure the a symptotic stability of fractional-order chaotic systems.Secondly,the self-structure synchronization and heterostructure synchronization of fractional-order chaotic systems are studied.In the first step,an adaptive controller is established to ensure the a symptotic stability of fractional-order chaotic systems.The second step,according to the active control strategy and adaptive control strategy to obtain a hybrid control strategy through the control effect the designed controller is demonstrated by the control effect diagram.Finally,the designed control method is applied to communication security.The synchronization control method of confidential communication is designed to effectively realize the secure transmission of confidential signals.Using sinusoidal signal as input signal,the security of the communication system is verified and the feasibility of the method is proved.