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2012-01-12
Hybrid-Surrogate-Model-Based Efficient Global Optimization for High-Dimensional Antenna Design
By
Progress In Electromagnetics Research, Vol. 124, 85-100, 2012
Abstract
Efficient global optimization has been extensively used in problems with expensive cost functions. However, this method is not suitable for high-dimensional problems. In this paper, the radial basis function network is introduced into the efficient global optimization, to avoid local optima and achieve a fast convergence for high-dimensional optimization. Our algorithm is applied to a 12-dimensional optimization of a transmitting antenna. Compared to the genetic-algorithm-based efficient global optimization and the differential evolution strategy, our algorithm converges to the global optimal value more efficiently.
Citation
Ling-Lu Chen, Cheng Liao, Wenbin Lin, Lei Chang, and Xuan-Ming Zhong, "Hybrid-Surrogate-Model-Based Efficient Global Optimization for High-Dimensional Antenna Design," Progress In Electromagnetics Research, Vol. 124, 85-100, 2012.
doi:10.2528/PIER11121203
References

1. Jones, D. R., M. Schonlau, and W. J. Welch, "Efficient global optimization of expensive black-box functions," Journal of Global Optimization, Vol. 13, No. 4, 455-492, 1998.
doi:10.1023/A:1008306431147

2. Siakavara, K., "Novel fractal antenna arrays for satellite networks: Circular ring Sierpinski carpet arrays optimized by genetic algorithms," Progress In Electromagnetics Research, Vol. 103, 115-138, 2010.
doi:10.2528/PIER10020110

3. Reza, A. W., M. S. Sarker, and K. Dimyati, "A novel integrated mathematical approach of ray-tracing and genetic algorithm for optimizing indoor wireless coverage," Progress In Electromagnetics Research, Vol. 110, 147-162, 2010.
doi:10.2528/PIER10091701

4. Dadgarnia, A. and A. A. Heidari, "A fast systematic approach for microstrip antenna design and optimization using ANFIS and GA," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 16, 2207-2221, 2010.
doi:10.1163/156939310793699037

5. Xu, O., "Collimation lens design using AI-GA technique for gaussian radiators with arbitrary aperture field distribution," Journal of Electromagnetic Waves and Applications, Vol. 25, No. 5-6, 743-754, 2011.
doi:10.1163/156939311794827113

6. Zaharis, Z. D. and T. V. Yioultsis, "A novel adaptive beamforming technique applied on linear antenna arrays using adaptive mutated boolean PSO," Progress In Electromagnetics Research, Vol. 117, 165-179, 2011.

7. Deligkaris, K. V., Z. D. Zaharis, D. G. Kampitaki, S. K. Goudos, I. T. Rekanos, and M. N. Spasos, "Thinned planar array design using boolean PSO with velocity mutation," IEEE Transactions on Magnetics, Vol. 45, No. 3, 1490-1493, 2009.
doi:10.1109/TMAG.2009.2012687

8. Chamaani, S., S. A. Mirtaheri, M. Teshnehlab, M. A. Shooredeli, and V. Seydi, "Modified multi-objective particle swarm optimization for electromagnetic absorber design," Progress In Electromagnetics Research, Vol. 79, 353-366, 2008.
doi:10.2528/PIER07101702

9. Goudos, S. K., Z. D. Zaharis, D. G. Kampitaki, I. T. Rekanos, and C. S. Hilas, "Pareto optimal design of dual-band base station antenna arrays using multi-objective particle swarm optimization with fitness sharing," IEEE Transactions on Magnetics, Vol. 45, No. 3, 1522-1525, 2009.
doi:10.1109/TMAG.2009.2012695

10. Liu, D., Q. Feng, W.-B.Wang, and X. Yu, "Synthesis of unequally spaced antenna arrays by using inheritance learning particle swarm optimization," Progress In Electromagnetics Research, Vol. 118, 205-221, 2011.
doi:10.2528/PIER11050502

11. Wang, W.-B., Q. Feng, and D. Liu, "Application of chaotic particle swarm optimization algorithm to pattern synthesis of antenna arrays," Progress In Electromagnetics Research, Vol. 115, 173-189, 2011.

12. Goudos, S. K., et al. "Application of a comprehensive learning particle swarm optimizer to unequally spaced linear array synthesis with side lobe level suppression and null control," IEEE Antennas and Wireless Propagation Letters, Vol. 9, 125-129, 2010.
doi:10.1109/LAWP.2010.2044552

13. Carro Ceballos, P. L., J. de Mingo Sanz, and P. G. Ducar, "Radiation pattern synthesis for maximum mean effective gain with spherical wave expansions and particle swarm techniques," Progress In Electromagnetics Research, Vol. 103, 355-370, 2010.
doi:10.2528/PIER10031808

14. Zaharis, Z. D., S. K. Goudos, and T. V. Yioultsis, "Application of boolean PSO with adaptive velocity mutation to the design of optimal linear antenna arrays excited by uniform amplitude current distribution," Journal of Electromagnetic Waves and Applications, Vol. 25, No. 10, 1422-1436, 2011.

15. Storn, R. and K. Price, "Differential evolution --- A simple and e±cient heuristic for global optimization over continuous spaces," Journal of Global Optimization, Vol. 11, No. 4, 341-359, 1997.
doi:10.1023/A:1008202821328

16. Goudos, S. K., Z. D. Zaharis, and T. V. Yioultsis, "Application of a differential evolution algorithm with strategy adaptation to the design of muti-band microwave filters for wireless communications," Progress In Electromagnetics Research, Vol. 109, 123-137, 2010.
doi:10.2528/PIER10081704

17. Goudos, S. K., K. Siakavara, E. Vafiadis, and J. N. Sahalos, "Pareto optimal Yagi-Uda antenna design using multi-objective differential evolution," Progress In Electromagnetics Research, Vol. 105, 231-251, 2010.
doi:10.2528/PIER10052302

18. Xie, L., Y. C. Jiao, Y. Q. Wei, and G. Zhao, "A compact band-notched UWB antenna optimized by a novel self-adaptive differential evolution algorithm," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 17-18, 2353-2361, 2010.
doi:10.1163/156939310793675817

19. Dib, N. I., S. K. Goudos, and H. Muhsen, "Application of Taguchi's optimization method and self-adaptive differential evolution to the synthesis of linear antenna arrays," Progress In Electromagnetics Research, Vol. 102, 159-180, 2010.
doi:10.2528/PIER09122306

20. Li, R., L. Xu, X. W. Shi, N. Zhang, and Z. Q. Lv, "Improved differential evolution strategy for antenna array pattern synthesis problems," Progress In Electromagnetics Research, Vol. 113, 429-441, 2011.

21. Li, F., Y. C. Jiao, L. S. Ren, Y. Y. Chen, and L. Zhang, "Pattern synthesis of concentric ring array antennas by differential evolution algorithm," Journal of Electromagnetic Waves and Applications, Vol. 25, No. 2-3, 421-430, 2011.
doi:10.1163/156939311794362777

22. Southall, H. L., T. H. O'Donnell, and B. Kaanta, "Endgame implementations for the efficient global optimization (EGO) algorithm," Proceedings of SPIE--- The International Society for Optical Engineering: Evolutionary and Bio-Inspired Computation: Theory and Applications III, Vol. 7347, 73470Q, 2009.

23. Southall, H. L., T. H. O'Donnell, and J. S. Derov, "Optimum design of antennas using metamaterials with the efficient global optimization (EGO) algorithm," Proceedings of SPIE--- The International Society for Optical Engineering: Evolutionary and Bio-Inspired Computation: Theory and Applications IV, Vol. 7704, 770408, 2010.

24. Southall, H. L., T. H. O'Donnell, and B. Kaanta, "Efficient global optimization for antenna design," Proceedings of the 2008 Antenna Applications Symposium, 250-269, 2008.

25. O'Donnell, T. H., H. L. Southall, and B. Kaanta, "Efficient global optimization for a limited parameter antenna design," Proceedings of SPIE | The International Society for Optical Engineering: Evolutionary and Bio-Inspired Computation: Theory and Applications II, Vol. 6964, 69640J, 2008.
doi:10.2528/PIERC10091303

26. Sheng, N., C. Liao, W. Lin, L. Chang, Q. Zhang, and H. Zhou, "A hybrid optimized algorithm based on ego and Taguchi's method for solving expensive evaluation problems of antenna design," Progress In Electromagnetics Research C, Vol. 17, 181-192, 2010.

27. O'Donnell, T. H., H. Southall, S. Santarelli, and H. Steyskal, "Applying EGO to large dimensional optimizations: A wideband fragmented patch example," Proceedings of SPIE --- The International Society for Optical Engineering: Evolutionary and Bio-Inspired Computation: Theory and Applications IV, Vol. 7704, 770407, 2010.
doi:10.1007/s10898-005-2454-3

28. Huang, D., T. T. Allen, W. I. Notz, and N. Zeng, "Global optimization of stochastic black-box systems via sequential Kriging meta-models," Journal of Global Optimization, Vol. 34, No. 3, 441-466, 2006.
doi:10.1115/1.2803251

29. Sharif, B., G. G. Wang, and T. Y. Elmekkawy, "Mode pursuing sampling method for discrete variable optimization on expensive black-box functions," Journal of Mechanical Design, Transactions of the ASME, Vol. 130, No. 2, 021402, 2008.
doi:10.1007/s11081-010-9118-y

30. Kitayama, S., M. Arakawa, and K. Yamazaki, "Sequential approximate optimization using radial basis function network for engineering optimization," Optimization and Engineering, Vol. 12, No. 4, 535-557, 2011.

31. Wang, J. G., C. M. Tian, H. F. Xia, and D. B. Ge, "Numerical simulations on radiation properties of combined-oscillator antenna," High Power Laser and Particle Beams, Vol. 17, No. 4, 581-585, 2005.
doi:10.1007/PL00007198

32. Simpson, T. W., J. D. Poplinski, P. N. Koch, and J. K. Allen, "Metamodels for computer-based engineering design: Survey and recommendations," Engineering with Computers, Vol. 17, No. 2, 129-150, 2001.
doi:10.1109/72.80341

33. Chen, S., C. F. N. Cowan, and P. M. Grant, "Orthogonal least squares learning algorithm for radial basis function networks," IEEE Transactions on Neural Networks, Vol. 2, No. 2, 302-309, 1991.

34. Wang, J. G., C. M. Tian, H. F. Xia, and D. B. Ge, "Numerical simulation of combined oscillator antenna array," High Power Laser and Particle Beams, Vol. 18, No. 7, 1144-1148, 2006.
doi:10.1109/15.277308

35. Allen, O. E., D. A. Hill, and A. R. Ondrejka, "Time-domain antenna characterizations," IEEE Transactions on Electromagnetic Compatibility, Vol. 35, No. 3, 339-345, 1993.
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