H/sub /spl infin// identification for nonlinear system based on generalized frequency response function

Wen Ou1, Chongzhao Han1, Min Chen2
1School of Electronic & Information Engineering, Xi''an Jiaotong University, China
2Department of Automation, Shanghai Jiaotong University, China

Tóm tắt

Based on the GFRF (generalized frequency response function), H/sub /spl infin// identification for nonlinear system is investigated using the set membership identification theory. We applied the three-order truncated Volterra series to describe the nonlinear system, and accomplished the model identification by the Householder transformation that is a kind of orthogonal decomposition, and then derived the GFRF of the system. Moreover, by means of the set membership identification we give a measure of the model perturbation in a form well suited for H/sub /spl infin//-control methodologies. The effectiveness of the proposed procedure is tested on the numerical simulation.

Từ khóa

#Nonlinear systems #Frequency response #Kernel #Matrices #Fourier transforms #Automation #Measurement errors #Frequency domain analysis #Transfer functions #Multidimensional systems

Tài liệu tham khảo

10.1016/0167-6911(86)90075-7 wenzheng, 1996, Set-membership identification and its application to aerodynamic parameter identification for flight vehicle 10.1109/9.554399 wen, 2001, Solution to the dimension disaster in the identification of Volterra series, Journal of Xi'an Jiaotong University, 35, 658 10.1016/S0005-1098(99)00005-9