研究全局收敛数值方法以此来解决机翼不对称损伤无人机的飞行配平问题。首先,提出解决此特殊构型飞机配平问题的多维牛顿迭代方法和其全局收敛性证明方法;其次,简要分析机翼损伤对质量特性和气动特性的影响,推导适合数值求解的配平方程并依其原理给出选取飞行配平初始点的方法;最后,给出了左翼损失40%面积矩某小型电动无人机(SEPUAV)的配平结果,并通过对比讨论其优劣性。仿真结果表明,当保证全局收敛时,该方法不仅解决了迭代初值点选取困难问题,而且能够快速地给出一般构型飞机(如机翼不对称损伤飞机)的纵侧向飞行配平点集,提高飞行配平的实时性和通用性。
This paper mainly presented the global-convergence numerical method for solving flight trim of Wing damaged asym- metric UAV. First, it gave multidimensional Newton iteration accompanied with the strict proof of its global convergence. Then, it briefly introduced the properties of mass and aerodynamics of damaged aircraft. Next it established the equations of flight trim for numerical solution and discussed how to choose initial points. Finally, it gave the simulation results of flight trim for discussing about the pros and cons of this method. The results show that under the global convergence, this method can on- ly resolve the problem of choosing iteration' s initial points, but also quickly work out longitudinal / lateral trim point sets of aircraft in general configuration (such as wing damaged asymmetric aircraft). So it improves versatility and real-time perform- ance of flight trim.