Research On Chaotic Systems And Its Control Of Digital Circuits Implementation

As we all know that the characteristics of chaotic signals are non-periodic,bounded and very sensitive to initial conditions,which determine the chaotic system can be better used in secure communication.Then, complex systems such as complex variable chaos and the fractional order chaotic are more universal in nature.In recent years,there appears a wave of calculus theory research at home and abroad,but the vast majority of the literature only describes use analog circuit to generate chaotic attractor. However, analog circuits have significant limitations, it does not have the advantages of a digital circuit.In this thesis, we emphatically introduced the digital circuit design method for attractor generated of three types of complex chaotic systems respectively. The specific method is designing the digital circuit of the hyper chaotic and complex variable chaos systems respectively by using the DSP Builder module based on EDA development tools. Next we introduced the passive control theory of chaotic system, used the passive control theory to control the hyper chaotic and complex variable chaos systems respectively, final designed the digital control circuits of these two chaotic systems. The obtained simulation results are consistent to the prediction. The main innovation point is propose a method of discrete continuous chaotic system, design methods based on DSP Builder which make the realization of chaotic system and its control much convenient, providing strong technical support for FPGA technology. In the controlling of chaos, we achieved the control of hyper chaotic and complex variable chaos systems and finally realized the digital circuits design of these two chaos control systems.In addition, The fractional chaotic simulation results show that the results proves the effectiveness of DSP Builder design method of fractional order chaotic system and provides a new idea for FPGA realizing of fractional order chaotic system.