The principle resonance and singularities in hysteretic control system with pid controller

XIONG Rui;LIU Xiang-dong

Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (8) : 72-77.

PDF(1579 KB)
PDF(1579 KB)
Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (8) : 72-77.
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The principle resonance and singularities in hysteretic control system with pid controller

  • XIONG Rui, LIU Xiang-dong
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Abstract

We consider a hysteresis closed-loop control system with PID controller. A model based on Backlash neutral network is adopted to represent the hysteresis relation of the system. After dynamic model is established,nonlinear principle resonance of this control system is studied. The bifurcation equation is obtained by averaging method, and then the system’s singularity is analyzed completely, the transition sets and bifurcation plots are shown in parametric space. The corresponding relations between the unfolding parameters and the system parameters are given and the theoretical basis for analysis and control in dynamical behaviors of the system is provided.

Key words

hysteresis / nonlinear control system / Backlash neutral network model / principle resonance / singularity theory

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XIONG Rui;LIU Xiang-dong. The principle resonance and singularities in hysteretic control system with pid controller[J]. Journal of Vibration and Shock, 2014, 33(8): 72-77
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