A Functional Series Model of Multi-input/Multi-output Nonlinear System
X.N.Zhang, J.H.Zhang
(Xi'an Jiaotong University, 710049)

Abstract: A functional series model to represent the multi-input/multi-output(MIMO) relationship of nonlinear systems with multi-digree of freedom is proposed and analysed. It is proved that the single-input/single-output(SISO) Volterra series model is a special case of the functional series model. Using this model to analyze the nonlinear polynomial stiffness system with multi-degree of freedom, the higher order kernels and a multi-demensional frequency response function(MRF) of the system are derived. The model lays foundation for response prediction and spectral analysis for multi-input/multi-output nonlinear systems.
Keywords: Nonlinear, Multi-input/multi-output, Spectral analysis.