振动鲁棒控制研究Ⅰ—不确定性结构动力学建模

王 锋;李道奎;雷勇军

振动与冲击 ›› 2009, Vol. 28 ›› Issue (10) : 126-131.

PDF(1457 KB)
PDF(1457 KB)
振动与冲击 ›› 2009, Vol. 28 ›› Issue (10) : 126-131.
论文

振动鲁棒控制研究Ⅰ—不确定性结构动力学建模

  • 王 锋1;李道奎2;雷勇军2
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Uncertainty Modeling of Structural Dynamics for Robust Vibration Control

  • WANG Feng1;LI Dao-kui2;LEI Yong-jun2
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摘要

建立了结构振动鲁棒控制的一般性综合框架。首先介绍了线性鲁棒控制的原理和控制系统框架,然后分析了结构动力学系统的模型不确定性来源,将其分为高阶未建模动态特性、模态参数不确定性和作动器/传感器模型误差,通过用适当地数学形式表示这些不确定性,将动力学模型的确定性部分和不确定性部分分离开来,有效地纳入鲁棒控制的系统框架,进而可以运用鲁棒控制理论求解控制器用于结构的振动控制,从理论上保证闭环系统的稳定性和性能。

Abstract

A general synthesis frame for the design of robust controller for structural vibration is developed. Robust control theory of uncertain linear systems is introduced firstly. Uncertainty modeling of structural dynamics is then analyzed. The uncertainties include unmodeled high order dynamics, modal parameter error and modeling error of actuators and sensors. And mathematical model of these uncertainties are formulated properly. Finally, the vibration control problem is brought into the framework of robust control theory, and the stability and performance of the closed system are insured as long as the model errors fall into the prescribed bounds.

关键词

振动控制 / 鲁棒控制 / 不确定性建模

Key words

vibration control / robust control / uncertainty modeling

引用本文

导出引用
王 锋;李道奎;雷勇军. 振动鲁棒控制研究Ⅰ—不确定性结构动力学建模[J]. 振动与冲击, 2009, 28(10): 126-131
WANG Feng;LI Dao-kui;LEI Yong-jun. Uncertainty Modeling of Structural Dynamics for Robust Vibration Control[J]. Journal of Vibration and Shock, 2009, 28(10): 126-131
中图分类号: V214   

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