A Study Based Controlling Of Improved Chaotic System And Hyperchaotic System

The thesis mainly based on the control of improved chaotic system and hyperchaotic system. According to theoretical analysis in this research, the study about the control of improved chaotic system and hyperchaotic system is focused on by using the methods of numerical simulation and circuit simulation respectively. Meanwhile, the feasible of controling method is proved.Firstly, dynamic characteristic of improved chaotic system is introduced in details. According to the characteristic of this dynamics characteristic, the author made out the numerical simulation by using this method, and converted dynamics equation into state equation of circuit equivalent,designing schematic circuit diagram. Than, the results of circuit simulation by Pspice keeps in accordance with those of numerical simulation. dynamic characteristic of improved chaotic system is proved by circuit simulation from this part of work.Secondly, the methods and the principles of chaotic controlling are summarized systematicly. This part of job, which make numberial simulation and control by three contrlling methods, based on the Lyapunov stability theory. These three methods are self-feedback control law ,derivative feedback control law and linear feedback control law respectively. Moreover, the author designed controling circuit diagram of the improved chaotic system, and made circuit simulation. The results of circuit simulation keeps in accordance with those of numberial simulation. It is found that the choose of controlling methods is not only effective, but also feasible.Finally, based on Routh-Hurwitz criteria and Lyapunov stability theory, it is found that improved hyperchaotic system is controlled to the point of balance by the methods of linear feedback law and derivative feedback control law. The results of numberial simulation are proved utilization and effectiveness of controlling methods. The advantages and disadvantages are drawn conclusion by comparing the two methods.Above all, the results will provide vital experimental and theoretic basis to the study of improved chaotic system and hyperchaotic system.