摘要
为了抑制输电塔线体系的风振并考虑体系动力特性存在的不确定性,基于多目标优化理论设计了鲁棒H2/H∞控制器.运用达朗贝尔原理建立了输电塔线耦合体系平面内外振动的受控运动方程,在状态方程的摄动矩阵中引入塔线体系模型的不确定性,运用MATLAB的线性矩阵不等式(LMI)工具箱设计了鲁棒H2/H∞的输出反馈控制策略,并结合改进的限幅最优(MCO)控制算法设计了H2/H∞_MCO半主动控制器.以汶河-青云大跨越输电塔线体系为工程背景,分别对其进行在无控制、调谐质量阻尼器+黏弹性阻尼器(TMD+VED)控制、铅芯橡胶阻尼器(LRD)控制、固定增量(FI)控制和H2/H∞_MCO控制下的风振响应数值计算.结果表明:H2/H∞_MCO控制策略对输电塔的位移、加速度和塔底内力的峰值和均方差的减振效果比TMD+VED、LRD及FI控制策略的都要显著.
The robust H2/H∞controller based multi-objective optimization theory was designed in this paper to suppress the wind-induced vibration on transmission tower-line system and system with dynamic characteristic uncertainties.The controlled motion equation of the transmission tower-line coupling system with in-plane/out-plane vibration was established by using the D＇alembert principle;the uncertain parameters（mass,damping and stiffness）of the system model were introduced into perturbation matrix;the robust H2/H∞output feedback control strategy was proposed by using linear matrix inequalities（LMI）tool box of the MATLAB;and the H2/H∞_MCO（modified clipped optimal）semi-active controller was designed by introducing the MCO control algorithm into H2/H∞active controller.Taking the WenheQingyun large span transmission tower-line system as engineering background,the numerical computation on wind-induced vibration of the engineering background under non-control,combined control of both tuned mass damper（TMD）and viscoelastic damper（VED）,lead rubber damper（LRD）control,fixed increment（FI）control and H2/H∞_MCO control were conducted,respectively.The results indicate that the wind-induced vibration response（including tower displacements,accelerations and tower base internalforces）reduction effect of the H2/H∞_MCO control strategy are obviously superior to those of TMD＋VED,LRD and FI control strategies.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2014年第12期1751-1759,共9页
Journal of Shanghai Jiaotong University
基金
国家自然科学基金资助项目(51078077)
"十二五"国家科技支撑计划资助项目(2012BAJ14B00)
关键词
输电塔线体系
风致振动
鲁棒H2/H∞控制
线性矩阵不等式
半主动控制
transmission tower-line system
wind-induced vibration
robust H2/H∞control
linear matrix inequalities
semi-active control
