基于博弈论的高空长航时无人机翼型多点优化

针对高空长航时无人机的特点和使用要求,采用多人博弈中的纳什平衡,结合下山单纯形算法,发展了一个可同时满足低速爬升的高升力和高速巡航的大升阻比要求的翼型多点设计方法。可根据设计变量对目标的影响程度,自动将设计变量动态划分给局内人,具有非常强的适应性。对NLF1015翼型的优化算例表明,可以同时改善翼型在多个设计点的性能,同时,与多目标遗传算法NSGA-II相比,此方法在计算资源和成本不大的情况下,取得较好的优化结果,可以应用在高空长航时无人机的翼型设计中。

A Multi-point Airfoil Optimization for HALE UAV Based on Game Theory

With the respect of peculiarity and application requirement of High Altitude Long Endurance(HALE) Unmanned Air Vehicle(UAV),a multi-point design method was advanced based on the combination of Nash Equilibrium of Multi Players Game Theory and Downhill Simplex algorithm with a desire to obtain high lift for low speed climbing and high lift drag ration for high speed cruising at the same time.The design variables were decomposed dynamically and automatically in a very adaptive technique,and the variables were assigned to the players in the Game based on their significance to the fitness functions.According to the optimization demonstration case of Airfoil NLF1015,this method could improve the performance of the two design point simultaneously.Compared with Multi Object Genetic Algorithm NSGA-II,this method could reach a better optimization result with a loose requirement of computational resource and cost,thus it could be implemented in the design of airfoil for HALE UAV.