含PID控制器的迟滞非线性控制系统的主共振及奇异性

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (8) : 72-77.

论文

含PID控制器的迟滞非线性控制系统的主共振及奇异性

熊蕊，刘向东

作者信息 +

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

XIONG Rui， LIU Xiang-dong

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文章历史 +

摘要

针对含PID控制器的迟滞非线性闭环控制系统，用Backlash神经网络模型逼近系统迟滞非线性部分，建立动力学模型。研究了系统在简谐激励下的主共振，利用平均法得到了系统的分岔方程，并用奇异性理论进行了分析，得到了转迁集和分岔图。另外还研究了系统参数对开折参数和分岔参数的影响，从而为系统参数的选择提供理论指导。

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.

导出引用

熊蕊;刘向东. 含PID控制器的迟滞非线性控制系统的主共振及奇异性[J]. 振动与冲击, 2014, 33(8): 72-77

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