Study On Tracking Control Of Chaotic Systems

In this paper, This research mainly focused on the tracking control of chaoticsystems.Tracking control is exerted through the appropriate controller,which can make thecontrolled system with a single variable or all variables track arbitrary reference signal.Based on this method,the controlled system can be controlled fixed point, periodic stateand other chaotic system output signal.Firstly, it briefly introduces the development of chaotic theory and the current statusof the study of chaotic control. And the significance of this paper is well described whichmakes the study objective prominent and clear.Secondly, dynamic characteristics of the three systems which were selected in thispaper were discussed in detail. Through numerical calculation shows dynamics features ofchaotic systems and chaotic behavior complexity. According to theoretical analysis, therelative electronic circuit was designed by the result of the equivalent electronic circuitstate equation. The Pspice circuit simulation software was used in order to verify thefeasibility of the design circuit and complex chaotic behaviors were observed in the circuit.Again, on the basis of theoretical analysis, an in-depth study on the problem oftracking control was discussed. Based on Lyapunov stability theory, tracking controllerdesigned according to proposed strategy is proved correct and effective. It realized thechaotic systems respectively track fixed points, periodic signal and different structuredchaotic system state variables. Dislocation tracking is occurred between three dimensionalchaotic system and Lorenz system, and hyper-chaotic systems track the variables fromdifferent chaotic systems, which open up a new path for chaotic secure communication andprovid a new train of thought.Finally, the research of chaotic system tracking control with uncertain parameter isanalyzed.The target signal which contains uncertain parameter, through effective trackingcontrol strategy, tracking control is finished and the uncertain parameters are identificatedeffectively.The results of this study provide theoretical analysis and experimental evidences, andmaybe this work is a little helpful for other control researches of chaotic systems, alsomake chaotic systems in the area of secure communication get larger development space inthe future.