Experimental research on rate-dependent vibration control of giant magnetostrictive actuators

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (12) : 51-57.

GUO Yongxin 1 ZHANG Zhen 1 WANG Zhenyan 1 ZHOU Kemin 2,3 MAO Jianqin 1

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Abstract

A Hammerstein model is used to describe the rate-dependent hysteresis nonlinearity of giant magnetostrictive actuators (GMA). A modified Prandtl-Ishlinskii (MPI) model and an Autoregressive Model with Exogenous Input (ARX) represent respectively the static nonlinear part and the linear dynamic part of the Hammerstein model. Based on the proposed model, a new H∞ robust control method is proposed for vibration control. Experimental results on a one degree-of-freedom vibration isolation platform with a GMA demonstrate that the H∞ robust control method can attenuate 88%-92% of the vibration coming from the base in the frequency range of 1-100Hz in 1 vibration cycle, while the dual-filter-based adaptive filter x-LMS algorithm converges to the steady state in about 1 second, it can attenuate 90%-92% of the vibration in the frequency range of 40-100Hz and 43%-74% in the frequency range of 10-30Hz. Hence the proposed H∞ robust vibration control method has a wider control band and a faster convergence rate compared to the dual-filter-based adaptive filter x-LMS algorithm, and does not require re-modeling the control channels under the excitation of different frequencies.

Key words

giant magnetostrictive actuator / rate-dependent hysteresis nonlinearity / Hammerstein model / active vibration control / H&infin / robust control / adaptive filter

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GUO Yongxin 1 ZHANG Zhen 1 WANG Zhenyan 1 ZHOU Kemin 2,3 MAO Jianqin 1 . Experimental research on rate-dependent vibration control of giant magnetostrictive actuators[J]. Journal of Vibration and Shock, 2015, 34(12): 51-57

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