A HYBRID OPTIMIZED ALGORITHM BASED ON EGO AND TAGUCHI'S METHOD FOR SOLVING EXPENSIVE EVALUATION PROBLEMS OF ANTENNA DESIGN

In this paper, we propose a hybrid optimization approach that combines the E-cient Global Optimization (EGO) algorithm with Taguchi's method. This hybrid optimized algorithm is suited for problems with expensive cost functions. As a Bayesian analysis optimization algorithm, EGO algorithm begins with fltting the Kriging model with n sample points and flnds the (n + 1)th point where the expected improvement is maximized to update the model. We employ Taguchi's method in EGO to obtain the (n + 1)th point in this paper. A numerical simulation demonstrates that our algorithm has advantage over the original EGO. Finally, we apply this hybrid optimized algorithm to optimize an ultra-wide band (UWB) transverse electromagnetic (TEM) horn antenna and a linear antenna array. Compared to Taguchi's method and the Integer Coded Difierential Evolution Strategy, our algorithm converges to the global optimal value more e-ciently.

[1]  Korany R. Mahmoud,et al.  DESIGN OPTIMIZATION OF A BOW-TIE ANTENNA FOR 2.45 GHz RFID READERS USING A HYBRID BSO- NM ALGORITHM , 2010 .

[2]  Joshua D. Knowles,et al.  ParEGO: a hybrid algorithm with on-line landscape approximation for expensive multiobjective optimization problems , 2006, IEEE Transactions on Evolutionary Computation.

[3]  Donald R. Jones,et al.  A Data-Analytic Approach to Bayesian Global Optimization , 1997 .

[4]  Richard J. Beckman,et al.  A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code , 2000, Technometrics.

[5]  M. D. McKay,et al.  A comparison of three methods for selecting values of input variables in the analysis of output from a computer code , 2000 .

[6]  Hao Ling,et al.  Design of a Band-Notched Planar Monopole Antenna Using Genetic Algorithm Optimization , 2007, IEEE Transactions on Antennas and Propagation.

[7]  Genichi Taguchi,et al.  Taguchi's Quality Engineering Handbook , 2004 .

[8]  Hugh L. Southall,et al.  Efficient global optimization of a limited parameter antenna design , 2008, SPIE Defense + Commercial Sensing.

[9]  M. J. Inman,et al.  BAYESIAN OPTIMIZATION TECHNIQUES FOR ANTENNA DESIGN , 2004 .

[10]  E. E. Altshuler,et al.  Wire-antenna designs using genetic algorithms , 1997 .

[11]  Fan Yang,et al.  Linear Antenna Array Synthesis Using Taguchi's Method: A Novel Optimization Technique in Electromagnetics , 2007, IEEE Transactions on Antennas and Propagation.

[12]  John A. Nelder,et al.  A Simplex Method for Function Minimization , 1965, Comput. J..

[13]  Donald R. Jones,et al.  Efficient Global Optimization of Expensive Black-Box Functions , 1998, J. Glob. Optim..

[14]  D. Krige.  A statistical approach to some basic mine valuation problems on the Witwatersrand, by D.G. Krige, published in the Journal, December 1951 : introduction by the author , 1951 .

[15]  Sotirios K. Goudos,et al.  Application of Taguchi's Optimization Method and Self-Adaptive Differential Evolution to the Synthesis of Linear Antenna Arrays , 2010 .

[16]  Y. Rahmat-Samii,et al.  Particle swarm optimization in electromagnetics , 2004, IEEE Transactions on Antennas and Propagation.

[17]  Liao Cheng,et al.  Application of parallel integer coded differential evolution strategy on ultra-wide band TEM horn antenna , 2010, 2010 International Conference on Microwave and Millimeter Wave Technology.