宇航学报
宇航學報
우항학보
JOURNAL OF ASTRONAUTICS
2011年
2期
355-360
,共6页
马广富%庄宇飞%李传江%黄海滨
馬廣富%莊宇飛%李傳江%黃海濱
마엄부%장우비%리전강%황해빈
轨迹生成%欠驱动航天器%轴对称%微分平滑
軌跡生成%欠驅動航天器%軸對稱%微分平滑
궤적생성%흠구동항천기%축대칭%미분평활
Trajectory generation%Underactuated spacecraft%Axisymmetric%Differential flatness
研究了仅有两个独立控制力矩的轴对称欠驱动刚性航天器的可行轨迹生成问题.首先,由系统模型推导出轴对称欠驱动航天器可行轨迹必须满足的状态约束条件;其次,基于轴对称欠驱动航天器的微分平滑特性,提出了一种可行轨迹生成算法.该算法针对欧拉角姿态描述的系统模型,不仅能够有效地简化系统平滑变换中的奇异点避让问题,而且即使是在大角度机动的情况下,仍然能够保证轴对称欠驱动航天器的姿态角速度和相应的控制输入力矩始终保持在合理的范围内.仿真结果表明,该算法计算量小、计算速度快,这使得欠驱动航天器后续的轨迹规划和轨迹跟踪等算法的在线实际应用成为可能.
研究瞭僅有兩箇獨立控製力矩的軸對稱欠驅動剛性航天器的可行軌跡生成問題.首先,由繫統模型推導齣軸對稱欠驅動航天器可行軌跡必鬚滿足的狀態約束條件;其次,基于軸對稱欠驅動航天器的微分平滑特性,提齣瞭一種可行軌跡生成算法.該算法針對歐拉角姿態描述的繫統模型,不僅能夠有效地簡化繫統平滑變換中的奇異點避讓問題,而且即使是在大角度機動的情況下,仍然能夠保證軸對稱欠驅動航天器的姿態角速度和相應的控製輸入力矩始終保持在閤理的範圍內.倣真結果錶明,該算法計算量小、計算速度快,這使得欠驅動航天器後續的軌跡規劃和軌跡跟蹤等算法的在線實際應用成為可能.
연구료부유량개독립공제력구적축대칭흠구동강성항천기적가행궤적생성문제.수선,유계통모형추도출축대칭흠구동항천기가행궤적필수만족적상태약속조건;기차,기우축대칭흠구동항천기적미분평활특성,제출료일충가행궤적생성산법.해산법침대구랍각자태묘술적계통모형,불부능구유효지간화계통평활변환중적기이점피양문제,이차즉사시재대각도궤동적정황하,잉연능구보증축대칭흠구동항천기적자태각속도화상응적공제수입력구시종보지재합리적범위내.방진결과표명,해산법계산량소、계산속도쾌,저사득흠구동항천기후속적궤적규화화궤적근종등산법적재선실제응용성위가능.
The problem of feasible trajectory generation of an nderactuated rigid spacecraft only with two control torques acting on the plane orthogonal to the symmetric axis is dealt in this paper. Firstly, necessary conditions must be satisfied by an attitude history as a feasible trajectory. Then based on differential flatness characteristics of the axisymmetric underactuated spacecraft, a method for generating feasible attitude and control input trajectories is proposed. In terms of Euler angle parameterization, this method can not only guarantee the attitude angular velocity and control torque commands always kept in reasonable scope even under the condition of a large angle maneuver; but also simplify the singular avoidance problem in the whole fiat transformation. Simulation results demonstrate that the proposed method is efficient in computational effort, and makes the real on-line application in further trajectory planning and tracking algorithms for underactuated spaceerafts possible.