Study For Nonlinear Systems Chaotic Anti-control

With the enrichment and development of the theory of chaos and chaotic control, people can already use the existing method for chaotic suppression and exploit. However, further studies have shown that chaos would also be useful in some ways, the need to artificially produce chaos, which leads to the issue of chaotic anti-control. But how should we through anti-control to make a system be the chaos is one thing worth studying. Existing methods are generally reset Lyapunov exponents of the system to implement, but the amount of computation is large, and even some systems cannot be applied. Over a period, there had been a number of methods proposed, for example, the method based on nonlinear feedback controller to achieve the chaotic anti-control and so on, but which structures is complex and requires is strict, there are some problems in the practical application. Therefore, looking for simple, practical and universal features of chaotic anti-control method is of great significance.This article is in connection with nonlinear chaos anti-control study, the main work is as follows:1. Use chaotic theory and chaotic control as the starting point, and give a simple review of that, then give the significance of chaotic anti-control, and its research status, in the end lay the foundation to carry out anti-chaotic system control.2. With the method of nonlinear state observer, chaotic anti-control based on Lyapunov stability theory, to design a simple controller, then make the known non-chaotic system to be chaos, and the method should not be done by calculating the Lyapunov exponent, but directly be chaos, the design used in the controller has a simple structure, easy to implement, the theoretical proof and simulation example show that the effectiveness and feasibility of the proposed method.3. Through the chaotic anti-control study of a new hyper-chaotic system, by using a nonlinear feedback controller and adaptive controller design method, respectively, for the parameters are known and unknown, to chaotic anti-control, and two controllers control the effects, given the respective application of occasions, through the simulation experiments to prove the effectiveness and feasibility of the method.The chaotic anti-control method presented in this paper has a certain reference value for chaotic anti-control study of the nonlinear systems.