Application of multi-population improved cultural genetic algorithm using fuzzy mathematics in synthesis of array radar antenna

In order to address the optimization problem of array radar antenna and obtain the optimal antenna pattern, a novel hybrid genetic algorithm is proposed. The new algorithm introduces the theory of fuzzy mathematics into acceptance function, update function and influence function of cultural algorithm. Based on multi-population genetic algorithm (MPGA), the novel hybrid algorithm suppresses the peak side lobe level to -17.43908dB through optimizing the phase of array radar antenna. Comparing with the simulation results of cultural genetic algorithm (CGA) [1] and improved cultural genetic algorithm (ICGA), multi-population improved cultural genetic algorithm (MICGA) has the strongest performance of global search and local search, and it can search the global optimum. Besides, the convergence probability of MICGA is the highest and reaches 90%. Thus MICGA has a great prospect in the optimization design of array radar antenna.