基于最优化模型的太阳影子定位方法

Sun Shadow Positioning Method Based on Optimization Model

针对利用太阳影子实现目标的定位问题,分析得到影响影子长度的参数,确立了影长与太阳高度角、目标物长度、经纬度等的函数关系,并结合最小二乘法思想,建立了以理论影长与实际影长之差的平方和最小为目标的优化模型。以直杆为例,运用粒子群优化算法快速求解得到目标的可能位置,并与实际地点进行了比较。

To achieve the object localization by the sun shadow,the paper analyzes the parameters which influences the length of the shadow,and establishes the function of the shadow length and the solar elevation angle,the length of the target,the latitude and longitude,etc. Combined with the leastsquare method,the optimization model is built with the minimum square sum of the difference between the theoretical shadow length and the actual shadow length as the target. Take a straight rod for example,the possible target position has been quickly solved by use the method of the particle swarm optimization algorithm,which is also compared with the physical location.