Research of nonlinear dynamical system identification based on Volterra series model

At present, people have paid more attention to research nonlinear dynamical system, and have gotten important improving on nonlinear dynamical system analysis, identification, signal process, and fault diagnosis, etc. In this paper, we uses Matlab to identify nonlinear dynamical system 3 order Volterra series kernel coefficient by truncation model, and adopts a group of experiment input/output data to simulate, which obtaining nonlinear dynamical system 1 order and 2 order amplitude-frequency response. From simulating diagram we can see system character of different frequency, which can help us to analyze nonlinear dynamical system function and find equipment´s fault point appearance when output signal is different in same input signal. In addition, reconstruction output signal wave of nonlinear dynamical system matches to experiment wave, which representing identification accuracy in Volterra series to nonlinear dynamical system.