受扰航天器姿态动力学中参数未知的混沌运动控制

研究了扰动力矩作用下航天器姿态运动的欧拉动力学方程. 讨论了当选取扰动力矩中不同的参数矩阵, 欧拉方程可产生一大类混沌系统. 设计了基于Lyapunov方法的自适应控制律, 完成了该类系统中参数未知的混沌运动的控制, 并且能够将系统状态变量稳定于指定平衡点, 同时实现了对未知参数的实时辨识. 以Newton-Leipnik系统为例, 进行了数值仿真, 仿真结果表明了该方法的有效性. 关键词： 姿态运动 混沌控制 参数未知 Newton-Leipnik 系统

Chaos control with unknown parameter of attitude motion of perturbed spacecraft

The Euler's dynamical equation which describes the attitude motion of a perturbed rigid spacecraft is studied. A series of chaos systems is found from Euler's dynamical equation by selecting different parameter matrixes of perturbed torque. Based on the Lyapunov function, adaptive controller is designed such that the chaos control of unknown parameters of this system is accomplished, the state variables go to any appointed equilibrium points, and the unknown parameters are estimated simultaneously. Finally, the Newton-Leipnik system as an example is considered here to demonstrate the proposing technique. Simulation results show the feasibility and efficiency of this method.
Keywords： attitude motion chaos control unknown parameter Newton-Leipnik system