挠性卫星姿态非线性局部镇定控制

Nonlinear local stabilization control of flexible satellite attitude system

中文关键词  挠性卫星  姿态控制  非线性控制  降维观测器  平方和

英文关键词  flexible satellite  attitude control  nonlinear control  reduced-order observer  sum of squares

中文摘要

      本文针对挠性卫星姿态机动和振动抑制问题, 给出一种基于多项式平方和(sum of squares, SOS)的非线性 局部镇定控制方法. 根据姿态系统结构特征, 在此基础上, 采用SOS结合S-procedure理论, 得出相应的非线性局部可 镇定条件. 该条件可借助有效凸优化工具进行检验, 当优化问题可解时, 可构造非线性姿态控制器的解析解. 最后, 将文中方法应用于某型挠性卫星姿态控制. 仿真结果表明, 在实现大角度姿态快速机动的同时, 有效抑制了挠性附 件振动.

英文摘要

      Based on the polynomial sum of squares (SOS) techniques, a nonlinear local stabilization control approach is designed for the problem of flexible satellite attitude maneuver and Based on the polynomial sum of squares (SOS) techniques, a nonlinear local stabilization control approach is proposed for the problem of flexible satellite attitude maneuver and vibration suppression. According to the structural features of attitude system, a nonlinear local stabilization controller is developed and the complexity of attitude control design is reduced effectively by employing a separation principle for the reduced-order observer and state feedback. On this basis, the corresponding conditions of nonlinear local stabilization, which can be checked through convex optimization algorithms, are presented by using the SOS and S-procedure theory, and the analytical solution of nonlinear attitude controller can be constructed if the optimization problem is solvable. Finally, this method is applied to the attitude control of a flexible satellite and the simulation results show that both the fast large angle attitude maneuver and the vibration suppression are well realized.