In allusion to the identification problem of nonlinear systems with multiple outputs, a new algorithm of nonlinear systems' dynamic parametrical modeling method, called the redundant extended forward orthogonal regression (REFOR) is proposed in this study, which aims to avoid the missing of some significant model terms when using extended forward orthogonal regression (EFOR) algorithm. Firstly, based on non-linear autoregressive with exogenous inputs (NARX) model, which correspond to different cases of parameter properties, a common-structured model is built via REFOR, and a functional relationship between the coefficients of unified model term and the design parameters is established. A dynamic parametrical model of nonlinear systems with multiple outputs is constructed as a consequence. Further, a 4th degree of freedom (4DOF) nonlinear system is taken as a case study to clarify the advantage of REFOR and its application in modeling. Finally, a dynamic parametrical model of cantilever beam is established via REFOR, and a contrast between REFOR's output and corresponding real measurement is given. The results indicate that the REFOR based dynamic parametrical model can accurately predict output response of nonlinear systems, which provide a theoretical basis for the optimal design of nonlinear systems' modeling methods.
LUO Zhong
,
LIU Haopeng
,
ZHU Yunpeng
,
WANG Fei
,
HAN Qingkai
. Dynamic Parametrical Modeling Method of Nonlinear Systems with Multiple Outputs Based on REFOR Algorithm[J]. Journal of Mechanical Engineering, 2018
, 54(23)
: 73
-81
.
DOI: 10.3901/JME.2018.23.073
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