Abstract: In order to improve the precision of modal parameter identification for large close mode satellite antenna reflector, the genetic algorithm based on uniform design method was proposed to optimize the numbers and locations of sensors. The order of observed modal shape was selected by the energy criterion based on H₂ norm in modal space. According to the largest orthogonality and the highest energy of measured information as the optimal objectives respectively, the uniform design method was introduced to optimize the four compounding parameters in genetic algorithm, including: sensor number, population size, probability of crossover and mutation. The eigensystem realization algorithm (ERA) was utilized in on-orbit modal identification. The numerical simulation results show that the proposed method can solve the problem of optimizing the numbers and locations of the sensors effectively, and avoid the blindness in parameters selection.

Key words: H₂ norm, Uniform design, Modal parameter identification, Optimal sensor deployment, Satellite antenna