柔性结构振动跟踪控制H_∞混合灵敏度法  

H_∞ Mixed Sensitivity Method for Vibration Tracking Control on Flexible Structures

作　　者：游伟倩[1] 陈怀海[1] 贺旭东[1] 姜双燕[1] 

机构地区：[1]南京航空航天大学飞行器结构力学与控制教育部重点实验室,南京210016

出　　处：《振动．测试与诊断》2011年第5期562-565,661-662,共4页Journal of Vibration,Measurement & Diagnosis

基　　金：国家自然科学基金资助项目(编号:10672078);江苏省研究生科研创新计划资助项目(编号:CX07B-062z)

摘　　要：基于H∞混合灵敏度控制算法,提出了一种将H∞混合灵敏度控制应用于高阶柔性结构振动跟踪控制的加权函数选择方法。该方法能够快速地使输出信号跟踪到参考信号。首先,建立了振动系统的多输入多输出跟踪控制模型;然后选择合适的性能加权函数和限幅加权函数,引入了模型的不确定性扰动,给出了一种针对高阶柔性控制系统的加权函数选择方法,利用混合灵敏度H∞控制设计方法,将鲁棒反馈控制器设计转化为标准H∞控制问题求解;最后,以一悬臂梁为研究对象,完成了两输入两输出结构振动控制的控制器设计和算法仿真。仿真结果表明,针对高阶柔性结构系统设计的控制器,在保证稳定性的前提下,输出信号对参考信号的跟踪结果满足了预定指标要求。The algorithm of H∞ mixed sensitivity control is summarized and is applied to the vibration control of high order flexible structures,and a method for the choice of the mixed sensitivity weighting matrix is put forward.The algorithm can make the control output signals converge to the reference ones quickly and stably.A multi-input multi-output(MIMO) tracking control model of a vibration system is established via the H∞ control theory and the mixed sensitivity design method is used to design the robust H∞ controller. An augment plant for the vibration system is presented by introducing the performance weighting function matrix and the controlled signal weighting function matrix,including model uncertainties.A MIMO control model with two inputs and two outputs is set up by a cantilever beam.Results show that the controller for the high order flexible structure can meet the requirements of the internal stability of the control system and the tracking specifications.

关 键 词：跟踪控制 振动控制 H∞控制 混合灵敏度 多输入多输出系统 

分 类 号：O324[理学—一般力学与力学基础] TB535[理学—力学]