论文:2020,Vol:38,Issue(5):1018-1024
引用本文:
孙翠珍, 丁君, 郭陈江. 改进的引力搜索算法及在面阵综合中的应用[J]. 西北工业大学学报
SUN Cuizhen, DING Jun, GUO Chenjiang. An Improved Gravity Search Algorithm and Its Application in Planar Array Synthesis[J]. Northwestern polytechnical university

改进的引力搜索算法及在面阵综合中的应用
孙翠珍1, 丁君2, 郭陈江2
1. 西安科技大学 通信与信息工程学院, 陕西 西安 710054;
2. 西北工业大学 电子信息学院, 陕西 西安 710072
摘要:
针对引力搜索算法在迭代过程中粒子惯性质量的累积效应造成的引力中和对优化性能的影响问题,提出了一种改进算法:自适应引力搜索算法。设计了一种随迭代次数自适应调整的衰减因子,提高了迭代后期算法的开采能力;在速度的计算过程中加入精英粒子,增强了粒子的记忆能力,算法的探索能力得以提高。将改进算法用于均匀同心圆环阵中,和文献中的算法相比,自适应引力搜索算法优化的主瓣宽度窄了6.7°、旁瓣电平分别低了5.1 dB和1.8 dB,更接近期望的方向图;平均收敛曲线的结果中,在迭代次数为2 000时,算法的适应度值提高了30%,收敛速度更快,优化精度更高;稀布同心圆环阵列也具有同样的优化效果,证明了所提改进算法在解决面阵方向图综合时的有效性。
关键词:    引力搜索算法    自适应衰减因子    精英粒子    均匀同心圆环阵    稀布同心圆环阵   
An Improved Gravity Search Algorithm and Its Application in Planar Array Synthesis
SUN Cuizhen1, DING Jun2, GUO Chenjiang2
1. School of Communication and Information Engineering, Xi'an University of Science and Technology, Xi'an 710054, China;
2. School of Electronics and Information, Northwestern Polytechnical University, Xi'an 710072, China
Abstract:
An improved gravity search algorithm, adaptive gravity search algorithm (AGSA), is proposed to solve the problem that the gravity neutralization caused by the cumulative effect of particle inertia mass at the end of iteration, which will affect the optimization performance. An adaptive decay factor is designed, which can produce different gravitation values at different iteration stages of the algorithm and accelerate the mining ability of the algorithm at the later iteration stage. In order to enhance the memory ability of the algorithm, the influence of elite particles is added to the realization of the speed to expand the exploration ability. The improved algorithm is used to optimize uniform concentric ring array, the main lobe width optimized by the AGSA is 6.7°narrower and the side lobe level is 5.1 dB and 1.8 dB lower than the algorithm in the literature. It is clear that the pattern obtained by AGSA meets the desired pattern very well. Moreover, when the number of iterations is 2 000, the fitness value of the improved algorithm is increased by 30%. It can be seen that AGSA outperforms the algorithm in the literature in evolutionary speed and accuracy. Sparse concentric ring array also has the same optimization results. The effectiveness of the proposed improved algorithm in solving the array pattern synthesis is proved.
Key words:    gravitational search algorithm    adaptive attenuation factor    elite particles    uniform concentric ring array    sparse concentric ring array   
收稿日期: 2019-09-20     修回日期:
DOI: 10.1051/jnwpu/20203851018
基金项目: 国家自然科学基金青年科学基金(61701392)与陕西省科技厅工业攻关项目(2017GY-073)资助
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作者简介: 孙翠珍(1981-),女,西安科技大学讲师,主要从事天线算法及微波技术研究。
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参考文献:
[1] ESMAT R, HOSSEIN N, SAEID S. GSA:a Gravitational Search Algorithm[J]. Information Sciences, 2009, 179(13):2232-2248
[2] 孙翠珍, 丁君, 兰建锋, 等. 改进的引力搜索算法用于阵列天线方向图综合[J]. 西北工业大学学报, 2017, 35(5):780-785 SUN Cuizhen, DING Jun, LAN Jianfeng, et al. Application of the Improved Gravitational Search Algorithm for the Pattern Synthesis of Array Antennas[J]. Journal of Northwestern Polytechnical Unviersity, 2017, 35(5):780-785(in Chinese)
[3] CUI C, LI W T, YE X T, et al. Hybrid Genetic Algorithm and Modified Iterative Fourier Transform Algorithm for Large Thinned Array Synthesis[J]. IEEE Antennas and Wireless Propagation Letters, 2017, 16:2150-2154
[4] GENG S, YANHENG L, HAN L, et al. An Antenna Array Sidelobe Level Reduction Approach through Invasive Weed Optimization[J]. International Journal of Antennas and Propagation, 2018, 2018:1-16
[5] 刘燕, 焦永昌, 张亚明,等. 基于分解的多目标入侵杂草算法用于阵列天线方向图综合[J]. 西北工业大学学报, 2014, 32(6):981-986 LIU Yan, JIAO Yongchang, ZHANG Yaming, et al. Pattern Synthesis of Array Antennas Using Multi-Objection Invasive Weed Optimization Based on Decomposition[J]. Journal of Northwestern Polytechnical University, 2014, 32(6):981-986(in Chinese)
[6] DAS A, MANDAL D, GHOSHAL S P, et al. Moth Flame Optimization Based Design of Linear and Circular Antenna Array for Side Lobe Reduction[J]. International Journal of Numerical Modelling:Electronic Networks, Devices and Fields, 2019, 32(1):1-15
[7] MOHANTY S K, MANGARAJ B B. An Optimal Design of Super-Directive Dipole Linear Antenna Array Using Gravitational Search Algorithm and Large Perfect Reflecting Surface[J].Recent Advances in Electrical and Electronic Engineering, 2018, 11(2):227-238
[8] SHARMA A, MATHUR S. A Novel Adaptive Beamforming with Reduced Side Lobe Level Using GSA[J]. The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2018, 37(6):2263-2278
[9] CHATTERJEE A, MAHANTI G K, PATHAK N N. Gravitational Search Algorithm for Synthesis of Selectively Thinned Concentric Ring Array Antenna with Minimum Sidelobe Level and with Fixed and Variable First Null Beamwidth[J]. International Journal of Microwave and Wireless Technologies, 2015, 7(6):775-781
[10] RAM G, MANDAL D, KAR R, et al. Opposition-Based Gravitational Search Algorithm for Synthesis Circular and Concentric Circular Antenna Arrays[J]. Scientia Iranica, 2015, 22(6):2457-2471
[11] MIRJALILI S, LEWIS A. Adaptive Gbest-Guided Gravitational Search Algorithm[J]. Neural Computing and Applications, 2015, 25(7/8):1569-1584
[12] 薛正辉,李伟明,任武. 阵列天线分析与综合[M]. 北京:北京航空航天大学出版社,2011 XUE Zhenghui, LI Weiming, REN Wu. Array Antenna Analysis and Synthesis[M]. Beijing:Beihang University Press, 2011(in Chinese)
[13] ZHANG A, SUN G, REN J, et al. A Dynamic Neighborhood Learning-Based Gravitational Search Algorithm[J]. IEEE Trans on Cybernetics, 2018,48(1):436-446
相关文献:
1.孙翠珍, 丁君, 兰建锋, 郭陈江, 袁建涛.改进的引力搜索算法用于阵列天线方向图综合[J]. 西北工业大学学报, 2017,35(5): 780-785