Proposal of Updating Method for the Response Surface Approximation Based on Kalman Filter and Multiplex Hypothetical Official Approval
Kenji Hirohata, Minoru MUKAI, Noriyasu Kawamura, Takashi KAWAKAMI, Qiang Yu, Masaki Shiratori · TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A · 2003
Response surface methodology has been used in the optimum design and reliability design. However, the response surface approximation may have uncertainty in the case when the reasonable interactive terms are not taken into account. In this paper, a new updating method for the response surface approximation is proposed. This method is based on Kalman filter and multiplex hypothetical official approval. The response surface approximation with uncertainty can be updated using a new method. From the application to examples, it is indicated that in the case that some response surface approximations for design space were stored and many sampling data from these approximations can be generated easily, the information of the design variables such as interaction among variables can be extracted and the reasonable response surface models can be identified by applying various response surface models with many interactive terms actively.