Nonparametric identification method for frequency response function of a lightly damped multi-variable system

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (19) : 182-186.

ZHOU Yi, ZHANG Erliang

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Abstract

Aiming at the problem of frequency response function (FRF) being difficult to be modeled and estimated due to light damping, based on the local rational model,a non-parametric identification method for FRF of a lightly damped multi-variable system was proposed.To eliminate the parametric estimation deviation caused by the least-squares method, a weight function was introduced to construct a new cost function, and realize parametric consistent estimation.A numerically stable parametric optimization algorithm was established, and an uncertain interval was constructed to estimate FRF. Then, the proposed FRF non-parametric identification method was extended to the case of variable with error system.Finally, the effectiveness of the proposed method was verified with simulation and tests.

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frequency response function (FRF) / non-parametric identification / local rational model / lightly damped multi-variable system

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ZHOU Yi, ZHANG Erliang. Nonparametric identification method for frequency response function of a lightly damped multi-variable system[J]. Journal of Vibration and Shock, 2020, 39(19): 182-186

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