平流层飞艇作为一种低速飞行器对风场干扰具有很强的敏感性,它在水平面长距离逆风巡航时需要消耗较多的能量。针对此问题,提出了一种基于奇异摄动法的最小能量水平面轨迹优化方法。首先建立风场坐标系,将飞艇巡航到目标点的过程转化成类似的最优拦截问题;根据飞艇运动学、动力学状态变量变化的特点,引入比例导引法,将其进行3个快慢时间尺度的划分,建立基于奇异摄动法的数学模型;再分别求解3个不同时间尺度上的子问题,得到解析解;最后,给出了一个仿真算例,结果表明,所提方法是有效的,具有一定的工程应用前景。As a low-velocity aircraft,the stratosphere airship has a high sensibility to wind disturbance,so it costs much energy for long distance cruising horizontally against the wind.Aiming at minimum energy consumption,a trajectory optimization method for stratosphere airship is proposed by using the singular perturbation method.Firstly,the wind field coordinate system is established for converting the process of airship cruising to desired destination into a similar optimal interception problem.According to the behaviors of state variables of airship,and using proportional navigation guidance,three time-scale separations are established and the mathematical model of the singular perturbation is set up.Then,analytical solutions are derived by solving the corresponding three sub-problems.Finally,a numerical simulation is carried out.The result shows that the proposed trajectory optimization method is efficient for stratosphere airship and has some certain applications in engineering.国家自然科学基金(61273199); 高等学校博士学科点专项科研基金(20110121110017)资助课
