基于奇异摄动法的平流层飞艇水平面轨迹优化  

Trajectory optimization of stratosphere airship in horizontal based on singular perturbation method

作　　者：洪陆合[1] 林献武[1] 兰维瑶[1] 

机构地区：[1]厦门大学信息科学与技术学院,福建厦门361005

出　　处：《系统工程与电子技术》2014年第4期728-733,共6页Systems Engineering and Electronics

基　　金：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)资助课题

摘　　要：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 con sumption, a trajectory optimization method for stratosphere airship is proposed by using the singular perturba tion method. Firstly, the wind field coordinate system is established for converting the process of airship crui- sing to desired destination into a similar optimal interception problem. According to the behaviors of state varia- bles 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 bv 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.

关 键 词：轨迹优化 奇异摄动法 平流层飞艇 风场干扰 

分 类 号：V219[航空宇航科学与技术—航空宇航推进理论与工程]