飞行器姿态角解算的全角度双欧法  

Improvement of dual-Euler method for full scale Eulerian angles solution of aircraft

作　　者：李跃军[1] 阎超[1] 

机构地区：[1]北京航空航天大学航空科学与工程学院,北京100083

出　　处：《北京航空航天大学学报》2007年第5期505-508,共4页Journal of Beijing University of Aeronautics and Astronautics

摘　　要：为了实现飞行器超机动飞行情况下姿态角的连续解算,将传统双欧法进行了改进.通过引入判别函数使得数值模拟过程中正反欧拉角能一一对应,克服了欧拉方程的奇异性,消除了传统双欧法须限定俯仰为[-90,°+90°]的限制,从而将正反欧拉角取值范围扩展到了全角度,实现了飞行器的任意姿态角连续解算.采用改进的双欧法数值模拟了飞机斤斗飞行动作,时间积分采用了变步长龙格库塔方法,结果表明该方法简单有效,能得到连续的高精度解.To overcome the shortcoming of the original dual-Euler method, i. e. , it presumes that the range of pitching angle was limited to [ - 90 ° ＋ 90 ° ] and it can＇t be used for continuous solution of super-maneuvering flight when the pitching angle was beyond this limited range, improvement was made to solve Eulerian angles for full scale continuously by introducing a discriminant function that can obtain the only one corresponding solution for both positive Eulerian system and negative Eulerian system. To validate the new method, a simple model of super-maneuvering was numerically simulated with the improved Dual-Euler method, and R- K algorithm with variant time steps was used for time integration. Results showed that the numerical solution was in perferct agreement with the theoretical solution.

关 键 词：双欧法 全角度 姿态角解算 欧拉角 

分 类 号：V448.22[航空宇航科学与技术—飞行器设计]