一种前飞状态直升机可达区域快速计算方法

直升机可达区域可用于生成空域安全态势，提高直升机在低空复杂环境中的飞行安全水平.为了满足求解可达区域的实时性和准确性要求，提出了一种快速计算方法.根据能量机动性求解了直升机控制域，结合运动学方程建立了可达区域数学模型.基于最优控制原理，实现了边界点快速计算；提出了基本可达区域的概念，将实时可达区域构造问题转化为少量边界点的计算问题.以AH-1G直升机为对象进行了二维和三维的算例分析，并与微分包含法计算结果进行了对比.算例结果表明，直升机控制域是时变的，需根据实时飞行状态进行计算；该算法能实时计算前飞状态直升机的可达区域，有较高的计算精度.

Fast calculation method for helicopter reachable domain in forward flight

Helicopter reachable domain can be used to generate airspace security situation and improve the helicopter safety level in a low-altitude complex environment. In order to meet the demand on real-time performance and accuracy, a fast calculation method was proposed. The helicopter control zone was computed through energy method and the helicopter reachable domain mathematical model was established by combining kinematical equation with control zone. Based on optimal control theory, the boundary points of reachable domain were solved. The problem of constructing reachable domain in real time was transformed into the problem of calculating the boundary points. Two-dimensional and three-dimensional examples of AH-1G helicopter were analyzed and the results of the proposed algorithm were compared with differential inclusion method. The numerical results show that the control zone is time varying and should be computed on the basis of real-time flight status. Helicopter reachable domain in forward flight can be calculated in real time using the proposed algorithm and has high precision.