数学建模 飞机管理型数学建模 飞机管理模型.doc

Air Traffic Control Abstract 本文讨论了如何对新进入区域内的飞机是否会与区域内原有的飞机碰撞的问题，和如若碰撞，调整各架飞机方向角，使得飞机均能安全飞出正方形区域的问题。 针对判断飞行的飞机之间是否发生碰撞亦即可碰撞问题，把各架飞机的运动轨迹端点坐标用时间表示后，就可以写出第六架飞机与其它五架飞机的距离表达式，判断这个最小距离是否小于8km，如果小于，则碰撞，否则不碰撞。这一过程的实现可通过MATLAB编程动态模拟飞机在区域内的飞行过程。在时间轴上连续取样，最后得出第六架飞机和第五架相碰，碰撞时事件飞机的坐标位（），相碰时刻为？ 针对检测到碰撞的存在并采取措施进行规避，即碰撞规避问题。需要对各架飞机的方向角进行调整，并且使得飞机方向角调整幅度最小。建立非线性规划模型，利用MATLAB求得第架飞机调整的角度分别为： 关键字:飞机碰撞 方向角 最优解 非线性规划 Contents I. Introduction Grow inside 160 kilometers of exact square districts in the about 10,000 meters high empty some side, usually how many the airplane make level flight.Position and speed vector of each airplane inside the district are recorded its data by the calculator, so that they carry on a flight management.When desire gets into the airplane of the district to arrive a district edge, after recording its data, immediately compute and judge whether meeting and airplane occurrence in the district collision.If will collide, then should compute how to adjust each(including is lately ingoing) direction Cape that the airplane flies.To avoid collision.Now suppose a condition as follows: 1)The standard that dont collide is more than 8 kilometers for the distance of arbitrarily two airplanes. 2)The airplane flies the range that the direction Cape adjusts to be higher than 30 degrees. 3)All airplane airspeeds are all per hours are 800 kilometers. 4)The airplane that gets into the district while arriving a district edge, with the distance of airplane inside the district in response to above 60 kilometers. 5)At most need to consider 6 airplanes. 6)Need not consider that the airplane leaves the condition of this empress in the district. Please to the problem establishment mathematics model of the flight management that avoid collision.List to compute a step, carry on a calculation to the following data.(direction Cape the error margin isnt higher than 0.01 degrees)Requesting airplane to fly the range that the direction Cape