Analysis And Control Of The Chaotic Systems

The nonlinearity control theory always receives the control educational world to take seriously, but the chaos control itself has contained many theories and the application question, if puts it to the nonlinear system control big background, then may regard as the chaos control the nonlinearity control theory a special application area.Undergoes near ten year research, the people had already found some control chaotic system's methods, such as OGY method, stepless control method, auto-adapted control method, nerve network method and so on. This article in the Lyapunov stability theory foundation, through the design control quantity, the change control system's Lyapunov index, changes system's state of motion correspondingly, thus has realized to the chaotic state system's control.This article first introduced in the first chapter the chaos research's history and the significance, and the overall introduced about chaos control some methods; The second chapter elaborated the chaos dynamics system's related concept, emphasized the seeking system Lyapunov index important meaning specially; The third chapter based on the split-ring proportion theory and the orbital calm theory, unifies the Lyapunov stability analyses, carries on the control to the Duffing-equation, and has confirmed these two kind of control method feasibility through the simulation analysis; The fourth chapter through carries on the analysis to the Chen system, proposed the parameter drive and the variable differential two kind of control thought that obtain the good simulation result finally, has confirmed these two kind of control method feasibility separately; The fifth chapter carries on the analysis and the control to the Lorenz system, proposed the LE disposition control method, obtains the good simulation result finally, confirmed has carried on the control to it the feasibility; Finally makes the summary to the full text, and has made the forecast to the chaos theory this new research direction, simultaneously proposed myself work some ideas which must carry on to the future.