The Research On Methods For Chaos System Control

Chaos motion is a complex nonlinear motion, whose trajectory of the orbits in the phase plane is very complex but not stochastic. We can observe the chaos phenomenon in a lot of systems, chaos is often harmful or unwanted, and must be controlled. It is not only having theoretical academic value but also have practical applications. In recent years, chaos is developed rapidly under the incessant efforts of scholars over the world, and the research areas of chaology are also expanded thoroughly. People have found some way to control chaos systems, such as: OGY method, external force feedback control method, adaptive control method, fuzzy control method and so on.The traditional control method is based on unstable equilibrium point to control the system. which lead to the control target is too narrow. To solve this problem, this paper base on feedback method and Lyapunov stability theory, research a new control strategy, so that it can effective control most chaos system, and is capable control the system to any our desired goals.Main contents of this article are as follows:1. Look back the history of dynamic chaos, and three definitions on chaos are introduced. Fundamental properties of chaos are detailed as well as the typical chaos system model and control methods.2. Studied the chaos behavior of PMSM. The study indicates that PMSM will happen chaos phenomena. Because of this chaos is very harmful for the PMSM, and should be given to suppress. For the nature of PMSM, this paper researches a new control strategy and designs the corresponding controller to make the speed of PMSM to the desired state.3. Analysis and control the unified chaos system. For such a system, we design a corresponding universal nonlinear feedback controller, so that a unified chaos system can be controlled effectively.4. Using pole assignment to study the stabilization of R(o|¨)ssler system.5. Base on Lyapunov stability theory, a nonlinear feedback controller is designed to study synchronization of R(o|¨)ssler system and Lorenz systems.