飞行器姿态运动系统的控制--噪声方法

摘要

研究了空间飞行器姿态主动控制系统的混沌控制，在非线性系统中加入Gauss白噪声以实现对该混沌系统的控制，对系统的混沌行为加以抑制，使系统稳定化。采用最大Lyapunov指数法，通过Matlab数值仿真技术，对原系统以及随机相位控制后的系统Lyapunov指数随时间的变化趋势进行观察，可以看到原系统为混沌状态，而随机相位控制后的系统混沌已被控制住。在计算最大Lyapunov指数的过程中采用了线性随机系统的Khasminskii球面坐标变换方法。此外，针对所研究的系统给出了相图，时间历程图和Pioncar e′截面图来验证所得到的结论，证实所用方法是有效的。%This paper studied the chaos control of the spacecraft attitude active control sys-tem.The method used in this paper was to add the Gaussian white noise to the system in or-der to control this chaotic system.Suppressed the chaotic behavior to make stabilization.The largest Lyapunov exponent was adopted, and got the data through the numerical simulation technology of Matlab.Through the trending of the Lyapunov exponent changing with the time of the original system and the random phase control system, found that the original behavior was chaotic, and the controlled system was stable.The method for computing the top Lya-punov exponent was based on the Khasminskii’ s formulation for linear stochastic systems.In addition, phase portraits, time evolution and Poincar e′map were plotted to confirm the ob-tained results which confirm the method was effective.