基于鞍点规划理论的机翼水平位姿评估方法

摘要

在飞机机翼水平位姿调整过程中,需要通过激光跟踪仪系统测量机翼上特征点的坐标位置,以及用直线位移传感器测量机翼水平测量点的高度来对机翼位姿进行评估.为此,借鉴形状与位置误差评定理论中的"最小条件"原则,建立基于鞍点规划理论的位姿评估模型,并运用奇异值分解法和单纯形法对其进行了求解.该模型同时考虑特征点的位置精度要求和水平测量点的高度精度要求,其中水平测量点的高度精度由直线位移传感器实际测量的伪水平测量点的高度精度间接得以保证.仿真算例表明,该模型的位姿评估结果具有较高的精度,能很好地表征机翼的位姿.%During the level-posture alignment for the aircraft wings, it is required to evaluate the posture through measuring the coordinates of the feature points with a laser-tracking system and measuring the heights of the level-measuring points with a linear displacement transducer. An evaluation model based on the saddle point programming was proposed according to the minimum condition principle in the geometric error evaluation theory, and the model was solved with the singular value decomposition (SVD) and the simplex method. Both the precision requirements for the positions of the feature points and the heights of the level-measuring points were considered in the model. The precision of the level-measuring points heights was indirectly guaranteed by that of the pseudo level-measuring points, which were actually measured by the linear displacement transducer. Simulation shows that the evaluated posture using the model reaches high precision and can well represent the posture of the wings.