Controlling chaos based on an adaptive nonlinear compensator mechanism

作     者：田玲玲 李东海 孙先仿 

作者机构：School of Automation Science and Electrical EngineeringBeijing University of Aeronautics & Astronautics Department of Thermal EngineeringTsinghua University 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2008年第17卷第2期

页      面：507-519页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：Project supported by the National Natural Science Foundation of China (Grant No 50376029) 

主　　题：chaotic system nonlinear compensator mechanism Lorenz chaotic system 

摘      要：The control problems of chaotic systems are investigated in the presence of parametric uncertainty and persistent external disturbances based on nonlinear control theory. By using a designed nonlinear compensator mechanism, the system deterministic nonlinearity, parametric uncertainty and disturbance effect can be compensated effectively. The renowned chaotic Lorenz system subjected to parametric variations and external disturbances is studied as an illustrative example. From the Lyapunov stability theory, sufficient conditions for choosing control parameters to guarantee chaos control are derived. Several experiments are carried out, including parameter change experiments, set-point change experiments and disturbance experiments. Simulation results indicate that the chaotic motion can be regulated not only to steady states but also to any desired periodic orbits with great immunity to parametric variations and external disturbances.