Optimal Frequency-Domain System Realization with Weighting

Several approaches are presented to identify an experimental system model directly from frequency response data. The formulation uses a matrix-fraction description as the model structure. Frequency weighting such as exponential weighting is introduced to solve a weighted least-squares problem to obtain the coefficient matrices for the matrix-fraction description. A multi-variable state-space model can then be formed using the coefficient matrices of the matrix-fraction description. Three different approaches are introduced to fine-tune the model using nonlinear programming methods to minimize the desired cost function. The first method uses an eigenvalue assignment technique to reassign a subset of system poles to improve the identified model. The second method deals with the model in the real Schur or modal form, reassigns a subset of system poles, and adjusts the columns (rows) of the input (output) influence matrix using a nonlinear optimizer. The third method also optimizes a subset of poles, but the input and output influence matrices are refined at every optimization step through least-squares procedures.

[1]  P. Gill,et al.  Practical optimization , 2019 .

[2]  L G Horta,et al.  Frequency Domain Identification Toolbox , 1996 .

[3]  Anna-Maria Rivas McGowan,et al.  Results of wind-tunnel testing from the piezoelectric aerostatic response tailoring investigation , 1996 .

[4]  B. Pasik-Duncan,et al.  Adaptive Control , 1996, IEEE Control Systems.

[5]  J. Juang,et al.  Stable State-Space System Identification from Frequency Domain Data , 1993, Proceedings. The First IEEE Regional Conference on Aerospace Control Systems,.

[6]  D. S. Bayard,et al.  An algorithm for state-space frequency domain identification without windowing distortions , 1992, [1992] Proceedings of the 31st IEEE Conference on Decision and Control.

[7]  Gordon K. F. Lee,et al.  Frequency Domain State-Space System Identification , 1992, 1993 American Control Conference.

[8]  John L. Junkins,et al.  Robust eigensystem assignment for flexible structures , 1987 .

[9]  Jer-Nan Juang,et al.  An Eigensystem Realization Algorithm in Frequency Domain for Modal Parameter Identification , 1986 .

[10]  G. N. Vanderplaats,et al.  ADS: A FORTRAN program for automated design synthesis: Version 1.10 , 1984 .

[11]  J. P. Cleave,et al.  Numerical Optimization Techniques for Engineering Design: with Applications. G. N. Vanderplaats. McGraw-Hill Book Company, New York. 1984. 333 pp. Illustrated. £31.75. , 1984, The Aeronautical Journal (1968).

[12]  F. Yuan,et al.  SPONSORING / MONITORING AGENCY NAME(S) AND ADDRESS(ES) , 1999 .

[13]  Oddvar O. Bendiksen,et al.  Structures, Structural Dynamics and Materials Conference , 1998 .

[14]  莊哲男.  Applied System Identification , 1994 .

[15]  Jer-Nan Juang,et al.  Robust eigensystem assignment for second-order dynamic systems , 1990 .