基于Lyapunov最小-最大方法的卫星编队飞行队形保持  

Satellite Formation Flying Keeping Based on Lyapunov Min-Max Approach

作　　者：卢山[1] 徐世杰[1] 

机构地区：[1]北京航空航天大学宇航学院,北京100191

出　　处：《航天控制》2009年第2期30-35,共6页Aerospace Control

基　　金：国家自然科学基金资助(60535010)

摘　　要：提出一种卫星编队飞行队形保持的鲁棒控制方法。将环境摄动、推力误差等因素作为干扰项加到相对动力学方程中。然后对于该不确定系统,采用Lyapunov最小-最大方法设计相应的控制律,在存在干扰的情况下,采用该控制律仍然能保证系统渐近稳定。同时针对经典的Lyapunov最小-最大方法导致的控制颤振问题,进行了改进,证明了改进后的控制律能够实现系统的一致终极有界,同时消除颤振。通过仿真,验证了采用Lyapunov最小-最大方法在系统存在干扰的情况下,比一般控制方法具有更强的鲁棒性。A robust control method for satellite formation keeping is presented in this paper. The environmental perturbations and impulse error are taken as the disturbances in the relative dynamics. For the uncertain system, a control law based on the Lyapunov min-max approach is designed. The system is guaranteed to be asymptotically stable with this control law. Further, the control law is modified to avoid chattering, and the system becomes uniformly ultimately bounded. The simulation results show that the Lyapunov minmax approach has stronger robustness than that of other control method in the presence of disturbance.

关 键 词：卫星编队飞行 不确定系统 Lyapunov最小-最大方法 鲁棒性 渐近稳定 

分 类 号：V448.2[航空宇航科学与技术—飞行器设计]