基于广义DF法的参数可调二阶滑模抖振特性分析

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振动与冲击 ›› 2014, Vol. 33 ›› Issue (15) : 102-107.

论文

基于广义DF法的参数可调二阶滑模抖振特性分析

申宇1，仇原鹰2

作者信息 +

Chattering Characteristic Analyzing for Second-order Sliding-mode Control with Adjustable Parameters Based on the Generalized DF Approach

SHEN Yu1, QIU Yuan-ying2

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文章历史 +

摘要

为研究一类参数可调二阶滑模控制(2-SMC)抖振特性的估算和调节方法，在经典描述函数(DF)法基础上提出了一种广义DF法。通过计算2-SMC的频率无关基波分量，推导其负倒描述函数曲线旋转角与控制参数的关系式，得出系统输出量抖振特性的调节方法；接着利用广义DF法估算复杂非线性环节的抖振特性，并分析其稳定性；最后利用广义DF法分析频率相关基波分量，得到状态变量抖振特性的估算方法。在验证实验中，基于经典和广义DF法的抖振特性估算结果与仿真实验结果吻合，并具有较高的角频率估计精度，表明了抖振特性分析方法的正确性。

Abstract

For estimate and adjusting the chattering characteristic of a second-order sliding-mode control (2-SMC) with adjustable parameters, a generalized describing function (DF) approach is proposed on the basis of the classical DF approach. By means of calculating the frequency-independent fundamental component of the 2-SMC, the relationship between the rotation angle of negative reciprocal function curves and the control parameters is investigated. And then, a generalized DF approach is considered to estimate the chattering characteristic and deduce the chattering stability condition of the system with complicated nonlinear. Finally, the frequency-dependent fundamental component is analyzed by means of the generalized DF approach, and the method for estimate the states variable chattering characteristic is given. The simulation examples show that the chattering characteristic as estimated by classical and generalized DF approach are found to be in good agreement with the actual ones, and have high angular frequency estimation precision. These results show the correctness and applicability of the proposed methods.

导出引用

申宇;仇原鹰. 基于广义DF法的参数可调二阶滑模抖振特性分析[J]. 振动与冲击, 2014, 33(15): 102-107

SHEN Yu;QIU Yuan-ying. Chattering Characteristic Analyzing for Second-order Sliding-mode Control with Adjustable Parameters Based on the Generalized DF Approach[J]. Journal of Vibration and Shock, 2014, 33(15): 102-107