地磁系统的动力学仿真及同步控制  

Dynamic Simulation and Synchronization Control of Earth’s Magnetic Field System

作　　者：王全宇 王贺元[1] 孙伟鹏 WANG Quan-yu;WANG He-yuan;SUN Wei-peng(College of Sciences,Liaoning University of Technology,Jinzhou 121001,China)

机构地区：[1]辽宁工业大学理学院,辽宁锦州121001

出　　处：《控制工程》2020年第8期1406-1411,共6页Control Engineering of China

基　　金：国家自然科学基金资助(11572146,11526105)。

摘　　要：研究了三模地磁系统的基本动力学行为及其数值仿真,数值模拟了系统混沌发生的全过程,最大Lyapunov指数、分岔图、庞加莱截面以及功率谱的仿真结果揭示此系统混沌行为的普适性。基于Lyapunov稳定性理论,通过设计有效的线性反馈控制器,实现带有不确定参数和时滞的混沌地磁系统的自适应同步以及分数阶地磁系统的同步控制,数值仿真结果验证了该方法的有效性和可行性。The dynamical behavior and numerical simulation of a three-mode system of earth’s magnetic field problem are studied.The whole process of chaotic system is simulated numerically,simulation results of the largest Lyapunov exponent,bifurcation diagram,Poincare section and power spectrum reveal the universality of chaotic behavior of the system.Based on the Lyapunov stability theory,by designing an effective linear feedback controller,the adaptive synchronization of earth’s magnetic field system with uncertain parameters and time-delay,synchronization control of fractional-order system are realized.Numerical simulations are presented to verify the effectiveness and the feasibility of the synchronization scheme.

关 键 词：地磁系统 数值仿真 时滞 分数阶 同步控制 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]