基于模糊机会约束规划的机会阵雷达方向图综合
收稿日期: 2013-12-12
修回日期: 2014-05-08
网络出版日期: 2014-05-16
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
Received date: 2013-12-12
Revised date: 2014-05-08
Online published: 2014-05-16
Supported by
National Natural Science Foundation of China (61071164, 61271327); Priority Academic Program Development of Jiangsu Higher Education Institutions
龚树凤 , 贲德 , 潘明海 , 龙伟军 . 基于模糊机会约束规划的机会阵雷达方向图综合[J]. 航空学报, 2014 , 35(9) : 2615 -2623 . DOI: 10.7527/S1000-6893.2014.0096
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.
[1] Jon A B. Genetic algorithms as a tool for opportunistic phased array radar design[D]. Monterey: Naval Postgraduate School, 2002.
[2] Lance C E. Genetic algorithm design and testing of a random element 3-D 2.4 GHz phased array transmit antenna constructed of commercial RF microchips[D]. Monterey: Naval Postgraduate School, 2003.
[3] Ibrahim K. Distributed beam forming in a swarm UAV network[D]. Monterey: Naval Postgraduate School, 2008.
[4] Long W J, Ben D, Pan M H. Opportunistic digital array radar and its technical characteristic analysis[C]//IET International Radar Conference, 2009: 724-727.
[5] Long W J, Ben D, Pan M H. Pattern synthesis for OAR using LSFE-GA method[J]. International Journal of RF and Microwave Computer-Aided Engineering, 2011, 21(5): 584-588.
[6] Gong S F, Long W J, Huang H, et al. Polyphase orthogonal sequences design for opportunistic array radar via HGA[J]. Journal of Systems Engineering and Electronics, 2013, 24(1): 60-67.
[7] Ling C, Zhu L Y, Wee S. Linear aperiodic array synthesis using an improved genetic algorithm[J]. IEEE Transactions on Antennas and Propagation, 2012, 60(2): 895-892.
[8] Wang W B, Feng Q Y, Liu D. Application of chaotic particle swarm optimization algorithm to pattern synthesis of antenna arrays[J]. Progress in Electromagnetics Research, 2011, 115: 173-189.
[9] Randy L P. Thinned arrays using genetic algorithms[J]. IEEE Transactions on Antennas and Propagation, 1994, 42(7): 993-999.
[10] Olen C A, Compton R T. A numerical pattern synthesis algorithm for arrays[J]. IEEE Transaction on Antenna and Propagation, 1990, 38(10): 1666-1676.
[11] Zhou P Y, Ingram M A. Pattern synthesis for arbitrary arrays using an adaptive array method[J]. IEEE Transaction on Antenna and Propagation, 1998, 46(11): 1759-1760.
[12] Zhan S, Feng Z H. A new array pattern synthesis algorithm using the two-step least-squares method[J]. IEEE Signal Processing Letters, 2005, 12(3): 250-253.
[13] Yan S F, Ma Y L, Sun C. Optimal beamforming for arbitrary arrays using second-order cone programming[J]. Chinese Journal of Acoustics, 2005, 24(1): 1-9.
[14] Zadeh L A. Fuzzy sets[J]. Information and Control, 1965, 8: 338-353.
[15] Zadeh L A. Fuzzy sets as a basis for a theory of possibility[J]. Fuzzy Sets and Systems, 1999, 100(S1): 9-34.
[16] Liu B D, Liu Y K. Expected value of fuzzy variable and fuzzy expected value models[J]. IEEE Transaction on Fuzzy Systems, 2002, 10(4): 445-450.
[17] Liu B D. Uncertainty theory: an introduction to its axiomatic foundations[M]. Berlin: Spring-Verlag, 2004: 109-128.
[18] Liu B D, Zhao R Q. Stochastic programming and fuzzy programming[M]. Beijing: Tsinghua University Press, 1998: 164-183. (in Chinese) 刘宝碇, 赵瑞清. 随机规划与模糊规划[M]. 北京: 清华大学出版社, 1998: 164-183.
[19] Liu B D. Fuzzy random chance-constrained programming[J]. IEEE Transaction on Fuzzy Systems, 2001, 9(5): 713-720.
[20] Liu B D. Fuzzy random depent-chance programming[J]. IEEE Transaction on Fuzzy Systems, 2001, 9(5): 721-726.
[21] Chen G Z, Liu X W, Xiong J. Application of fuzzy chance constrained programming in optimal distribution of radar jamming resource[J]. Modern Defence Technology, 2010, 38(6): 128-133.(in Chinese) 陈根宗, 刘湘伟, 雄杰. 模糊机会约束规划在雷达干扰资优化分配中的应用[J]. 现代防御技术, 2010, 38(6): 128-133.
[22] Wu J K, Tang L. Multi-objective stochastic scheduling models for hydrothermal plants on fuzzy chance constrained programming[J]. Proceedings of the CSEE, 2011, 31(25): 26-34.(in Chinese) 吴杰康, 唐力. 基于模糊机会约束规划的水火电力系统多目标随机调度模型[J]. 中国电机工程学报, 2011, 31(25): 26-34.
[23] Zhao T, Wang X. A fuzzy chance-constrained programming model for liquid chlorine downstream products selection problem in environmental services[C]//2011 Annual SRⅡ Global Conference, 2011: 630-635.
[24] Deng J L. The primary method of grey system theory[M]. Wuhan: Huazhong University of Science and Technology Press, 2005: 74-106.(in Chinese) 邓聚龙. 灰色系统基本方法[M]. 武汉:华中科技大学出版社, 2005: 74-106.
[25] Ke H F, Chen Y G, Xia B. An algorithm of multiple criteria decision-making based on similarity to ideal grey relational projection[J]. Acta Electronica Sinica, 2007, 35(9): 1757-1761.(in Chinese) 柯红发, 陈永光, 夏斌. 一种基于逼近于理想灰关联投影的多目标决策算法[J]. 电子学报, 2007, 35(9): 1757-1761.
[26] Tsai M S, Hsu F Y. Application of grey correlation analysis in evolutionary programming for distribut-ion system feeder reconfiguration[J]. IEEE Transactions on Power Systems, 2010, 25(2): 1126-1133.
[27] You S M, Xiong J J, Yan Q, et al. Novel grey model to evaluate aerodynamic and stealth combination property[J]. Acta Aeronautica et Astronautica Sinca, 2010, 31(7): 1338-1350.(in Chinese) 游思明. 熊峻江. 晏青, 等. 飞行器气动—隐身综合性能评估的灰关联度分析模型[J]. 航空学报, 2010, 31(7): 1338-1350.
/
〈 | 〉 |