Design And Implementation Of A Memristor-Based Chaotic Synchronization System Under Single Input Feedback Controller

Chaotic system is an important part of nonlinear dynamics and has been widely available in different industries.As a novel electronic component of nonlinear with memory function,memristor can be used to construct chaotic system,which will improve the unpredictability and complexity of system effectively.It also can realize the secure communication based on memristor chaotic system through the chaotic synchronization control technique.At present,design of novel chaotic systems with memristor has become a research hotspot.However,the designs and hardware implementations of novel chaotic circuit are relatively few.Meanwhile,there are a lot of studies on the chaotic synchronization control technique,most of them are complex and carried out in theoretical research.Only a small part of the researches is aimed at the fast response novel chaotic synchronization control circuit.Therefore,the design and circuit implementation of memristor-based chaotic synchronization system have certain theoretical significance and research value.The details are shown below:Firstly,this paper proposes a single-input feedback controller,which is based on chaotic synchronization theory,minimum phase theory and Hurwitz stability theorem.At the same time,a memristor-based chaotic synchronization single-input feedback control system is designed.The chaotic dynamics characteristics of the system are analyzed by bifurcation diagram and Lyapunov exponent.In addition,the correlation simulation results show that the proposed chaotic synchronization controller has many advantages,such as simple structure,fast response speed and good waveform.Secondly,this paper proposes a design and implementation of the novel memristor-based chaotic synchronization control analog circuit.It realize a non-inductive chaotic oscillation circuit based on third-order voltage-controlled memristor,which is considered as the chaotic drive and response circuits of the system.Meanwhile,a single-input chaotic synchronization controller circuit implemented in the memristor chaotic synchronization circuit is designed according to the error system of them.Through the experimental analysis,the feasibility of analog memristor-based chaotic synchronous control circuit design is proved.Then,this paper proposes a design and implementation of the novel memristor-based chaotic synchronization control FPGA circuit.It presents a design method of FPGA circuit based on DSP Builder.On this basis,according a single-input chaotic synchronization controller DSP model and a memristor chaotic synchronization system DSP model under its control,the FPGA circuit is designed and implemented.Through experimental analysis,the feasibility and stability of memristor-based chaotic synchronous control FPGA circuit design is proved.Finally,this paper proposes two secure communication methods based on memristor chaotic synchronous control circuit.Furthermore,there are two implementations of analog circuit design and FPGA circuit design,which are compared and analyzed in this paper.The experimental results show that the analog circuit realization has many advantages,such as cheaper price,simple structure,fast response time and which can expediently realize the analog signal secure communication based on masking encryption.The FPGA circuit realization also has many advantages,such as stable performance,smaller error and stronger portability.Which also can expediently generate chaotic pseudo sequence for secure communication.