平面阵列方向图优化的改进PSO算法

发布时间：2018-01-19 10:46

本文关键词： 有源相控阵平面阵列副瓣干扰方向图优化粒子群优化算法　出处：《电子与信息学报》2017年10期 　论文类型：期刊论文

【摘要】：粒子群优化算法(PSO)是合成天线阵列预期方向图的有效手段。但对于某些大型平面阵列方向图复杂的非线性优化问题,该算法收敛速度慢且最优粒子易陷入局部最优解,因而使得算法失效。针对这一问题,该文提出一种改进PSO算法来提高传统PSO算法的收敛特性。该算法在初始化最优粒子时采用解析初值而不是随机初值。对于给定的预期方向图,通过矩阵运算解析对应该方向图的阵元权系数。之后将这些权系数指定为任意一个粒子的解析初值,而种群的其他粒子仍然赋随机初值,之后再衔接标准PSO算法的寻优迭代过程。这种初始化方法使得种群粒子在寻优搜索过程开始之前,即可得到最优粒子初值的有效估计。仿真结果表明,相对于全部粒子赋随机初值的标准算法而言,这种改进算法收敛速度更快,适应度值收敛得更深,因而有效提高了算法的收敛特性,从而能够得到满足预期方向图指标要求的优化结果。
[Abstract]:Particle Swarm Optimization (PSO) is an effective method for synthesizing the expected pattern of antenna arrays, but for some complex nonlinear optimization problems of large planar arrays. The algorithm is slow to converge and the optimal particle is easily trapped in the local optimal solution, which makes the algorithm invalid. In this paper, an improved PSO algorithm is proposed to improve the convergence of the traditional PSO algorithm. The algorithm uses the analytic initial value instead of the random initial value when initializing the optimal particle. The matrix weight coefficients of the corresponding pattern graph are analyzed by matrix operation. These weights are then assigned to the analytic initial values of any particle, while the other particles of the population are still assigned random initial values. Then the optimization iterative process of the standard PSO algorithm is connected. This initialization method enables the population particle to obtain the effective estimation of the initial value of the optimal particle before the optimization search process begins. The simulation results show that the initial value of the optimal particle can be estimated effectively. Compared with the standard algorithm with all particle random initial values, the improved algorithm converges faster and the fitness value converges more deeply, thus effectively improving the convergence characteristics of the algorithm. Thus, the optimization results can be obtained to meet the requirements of the expected pattern index.
【作者单位】：空军哈尔滨飞行学院飞行仿真技术研究所;哈尔滨工业大学导航制导与控制理论中心;
【基金】：国家自然科学基金(61273095)~~
【分类号】：TN958.92;TP18
【正文快照】： (2)(哈尔滨工业大学导航制导与控制理论中心哈尔滨150001)机载有源相控阵火控雷达大多是矩形栅格或三角栅格平面阵列,阵列结构一般为不规则圆形或矩形阵列[1-3]。这种阵列孔径的不规则性会对方向图形成一种类似调制的效应,如矩形栅格圆边界阵列所形成的方向图不同于矩形阵列,

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