航空学报 > 2014, Vol. 35 Issue (9): 2615-2623   doi: 10.7527/S1000-6893.2014.0096

基于模糊机会约束规划的机会阵雷达方向图综合

龚树凤1, 贲德1,2, 潘明海1, 龙伟军2   

  1. 1. 南京航空航天大学 雷达成像与微波光子技术教育部重点实验室, 江苏 南京 210016;
    2. 南京电子技术研究所, 江苏 南京 210038
  • 收稿日期:2013-12-12 修回日期:2014-05-08 出版日期:2014-09-25 发布日期:2014-05-16
  • 通讯作者: 潘明海,Tel.:025-84896490 E-mail:panmh@nuaa.edu.cn E-mail:panmh@nuaa.edu.cn
  • 作者简介:龚树凤 女,博士研究生。主要研究方向:新体制雷达,阵列信号处理,雷达信号处理。E-mail:suffy_nuaa@163.com;贲德 男,中国工程院院士,教授,博士生导师。主要研究方向:新体制雷达,雷达系统设计开发,雷达信号处理;潘明海 男,博士,教授,博士生导师。主要研究方向:射频仿真技术,新体制雷达,雷达信号处理。Tel:025-84896490 E-mail:panmh@nuaa.edu.cn
  • 基金资助:

    国家自然科学基金(61071164,61271327);江苏优势高校学科建设工程

Pattern Synthesis for Opportunistic Array Radar Based on Fuzzy Chance-constrained Programming

GONG Shufeng1, BEN De1,2, PAN Minghai1, LONG Weijun2   

  1. 1. Key Laboratory of Radar Imaging and Microwave Photonics, Ministry of Education, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
    2. Nanjing Research Institute of Electronics Technology, Nanjing 210038, China
  • Received:2013-12-12 Revised:2014-05-08 Online:2014-09-25 Published:2014-05-16
  • Supported by:

    National Natural Science Foundation of China (61071164, 61271327); Priority Academic Program Development of Jiangsu Higher Education Institutions

摘要:

针对机会阵雷达方向图综合的不确定问题,提出了一种基于模糊机会约束规划的方向图综合规划模型。该模型基于可信性理论,综合考虑天线单元分布的随机性以及激励状态的不确定性,将参与方向图综合时激励打开的天线数目看做一个梯形模糊变量,用以描述综合时的复杂不确定环境。随后,将规划模型转化为清晰等价形式,再结合遗传算法和灰关联综合评价法则设计了一种混合智能优化算法,用于求解该模型。以一维任意非均匀线阵为例,对主瓣宽度和最大副瓣电平进行了优化。仿真表明:优化后结果的可信性高于置信水平,验证了该算法的有效性。

关键词: 机会阵雷达, 方向图综合, 可信性理论, 模糊机会约束规划, 遗传算法, 灰关联综合评价

Abstract:

A new pattern synthesis model based on fuzzy chance-constrained programming is presented, which can be used to solve the uncertain problem of pattern synthesis for opportunistic array radar. The model bases on credibility theory, takes fully into account antenna elements with random distribution and excited state of uncertainty, uses the trapezoidal fuzzy variable to describe the number of the working antenna elements and characterize the complex and uncertain environment. Then, the programming model is transformed into a crisp equivalent forms, and a hybrid intelligent optimization algorithm is designed to solve the programming model, which is combined with genetic algorithms and grey relational comprehensive evaluation. And a uniform one-dimensional array is synthesized with this model, and the main lobe width and maximum side-lobe level are optimized. Simulation results show that the credibility of optimized results is higher than the confidence level, which verify the effectiveness of the model.

Key words: opportunistic array radar, pattern synthesis, credibility theory, fuzzy chance-constrained programming, genetic algorithms, grey relational comprehensive evaluation

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