航天器姿态机动的非线性鲁棒H_∞控制方法

Nonlinear robust H_∞ control for spacecraft attitude maneuver

针对存在动力学参数摄动及外部干扰的航天器姿态机动问题,给出一种新的非线性鲁棒H_∞控制方法.通过适当处理和假设,将航天器姿态模型表示为具有凸多面体不确定性的多项式型状态空间方程,并基于Lyapunov稳定性和平方和(SOS)理论,建立非线性状态反馈H_∞控制设计的可解性条件.最后,通过数值仿真实例验证了所提出方法的有效性.

A new nonlinear robust H∞ control approach is proposed for the problem of the spacecraft attitude maneuver with dynamic parameter perturbation and external disturbance.By the appropriate treatment and assumption,the spacecraft attitude model is expressed as a polynomial state space equation with polytopic uncertainty,and the solvable conditions of the nonlinear state feedback H∞ control is established based on the Lyapunov stability and the sum of squares（SOS） theories.Finally,a numerical example is given to illustrate the effectiveness of the obtained results.