TY - JOUR
T1 - System identification using associated linear equations
AU - Vazquez Feijoo, J. A.
AU - Worden, K.
AU - Stanway, R.
PY - 2004/5
Y1 - 2004/5
N2 - In this paper, analytical models of non-linear systems are obtained by identifying the frequency response functions (FRFs) of their associated linear equations (ALEs). This allows the use of several methods of identification in the frequency domain usually applicable to linear systems. Among other advantages, the cumbersome multidimensional Fourier Transformation required in higher-order frequency response functions (HFRFs) analysis is eliminated. Two theoretical systems are used here as examples, an electrostrictive actuator and a Duffing oscillator. The concept of the non-linear gain constant arises as a simple means of identification.
AB - In this paper, analytical models of non-linear systems are obtained by identifying the frequency response functions (FRFs) of their associated linear equations (ALEs). This allows the use of several methods of identification in the frequency domain usually applicable to linear systems. Among other advantages, the cumbersome multidimensional Fourier Transformation required in higher-order frequency response functions (HFRFs) analysis is eliminated. Two theoretical systems are used here as examples, an electrostrictive actuator and a Duffing oscillator. The concept of the non-linear gain constant arises as a simple means of identification.
KW - Associated linear equations
KW - Higher-order frequency response function
KW - Non-linear systems
KW - System identification
KW - Volterra series
UR - http://www.scopus.com/inward/record.url?scp=0942278606&partnerID=8YFLogxK
U2 - 10.1016/S0888-3270(03)00078-5
DO - 10.1016/S0888-3270(03)00078-5
M3 - Artículo
SN - 0888-3270
VL - 18
SP - 431
EP - 455
JO - Mechanical Systems and Signal Processing
JF - Mechanical Systems and Signal Processing
IS - 3
ER -