应用数学和力学2017，Vol.38Issue(12)：1319-1330,12.DOI:10.21656/1000-0887.380013
基于Gauss伪谱法的欠驱动航天器姿态优化控制
Optimal Attitude Control of Underactuated Spacecrafts With the Gauss Pseudospectral Method
摘要
Abstract
The attitude and orientation of modern spacecrafts generally can be controlled by 3 orthogonal reaction momentum wheels.The attitude control of underactuated spacecrafts with only 2 momentum wheels and failed out of complete 3-axis controlling torques,was investigated.The control problem was converted to a nonholonomic motion planning problem of a driftfree system with zero angular momentum.The attitude motion planning problem of a spacecraft with 2 momentum wheels was converted to a nonlinear programming problem (NLP) with the Gauss pseudospectral method,and then solved with the SQP algorithm.Through numerical simulation the optimal control met the design requirements of zero boundaries,so the wheels can be controlled easily by servomotors;the planned attitude curves were almost identical to the numerically integrated solutions;the number of suitable collocation points was found through balancing among 3 factors:the target function value,the running time and the solution error.The results show that the proposed method is effective for the optimal attitude control of underactuated spacecrafts.关键词
欠驱动航天器/Gauss伪谱法/姿态优化控制/非完整运动规划/非线性规划Key words
underactuated spacecraft/Gauss pseudospectral method/optimal attitude control/nonholonomic motion planning/nonlinear programming分类
航空航天引用本文复制引用
易中贵,戈新生..基于Gauss伪谱法的欠驱动航天器姿态优化控制[J].应用数学和力学,2017,38(12):1319-1330,12.基金项目
国家自然科学基金(11472058)The National Natural Science Foundation of China(11472058) （11472058）
