| As an important dynamic system,chaotic switched system has relatively complex nonlinear dynamic behavior compared with classical chaotic system due to its own switched characteristics.Therefore,it has a wider potential application in the field of chaotic secure communication.Synchronization is the most basic premise for the application of chaos system.The research on the synchronization control of general chaos system has made great progress,but the research on the synchronization of switched system is relatively less.In addition,circuit simulation is an effective means to verify the dynamic behavior of chaotic system,and it is also the basis of chaos application in engineering practice.Therefore,the research on the generation,synchronization and circuit realization of switched system has not only profound theoretical significance,but also wide application value.In this thesis,we propose a switched system which can generate multi-scroll chaotic attractors by adjusting the threshold.This method does not generate multi-scroll chaotic attractors by increasing the system dimension or designing complex nonlinear functions.At last,through the hardware design,the circuit simulation of the switched system and its synchronization control is realized.The main contents of this paper are as follows:(1)A state dependent switched system which can generate multi-scroll chaotic attractors is constructed.First,based on the classical Lu chaotic system,two chaotic subsystems are selected by reselecting two sets of system parameters.Then,a state dependent switched rule is designed to construct the switched system.By adjusting the threshold value,the number and position of the saddle focal equilibrium point can be changed,so that the switched system can generate 2-3-4 multi-scroll chaotic attractors.Finally,the dynamic behavior of the switched system is verified by phase orbit diagram,Poincare section,bifurcation diagram and Lyapunov exponent spectrum.It is proved that the switched system designed in this paper has relatively more abundant dynamic behavior than that of a single subsystem.(2)The synchronization of switched systems is studied.Firstly,the synchronization between the two subsystems of the switched system is studied.By designing state feedback controller,adaptive controller and parameter adaptive law,the complete synchronization and adaptive synchronization between the two subsystems are studied.Then,the synchronization problem of the switched system is studied.By designing a reasonable controller,the synchronization control problem between two drive response switched systems under different threshold parameters is studied.(3)With the help of multisim circuit simulation software,the simulation of single system and switched system is realized from the aspect of circuit simulation.According to the state equations of single system and switched system,the simulation circuit is designed.It is proved that the circuit simulation results are consistent with the numerical simulation results,and the correctness of the analysis and numerical simulation results in Chapter 3 is verified.In addition,the circuit simulation of the synchronization problem of the switched system is realized.The driving system circuit,the response system circuit and the controller function are designed respectively.The consistency between the simulation results and the theoretical results is proved,thus the correctness of the theoretical derivation in Chapter 4 is verified. |
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