摘要
针对压电加筋壁板结构多模态主动控制时存在振动模型和外界干扰难以确定等问题,提出一种不依赖结构数学模型的多模态自抗扰振动控制方法.首先,采用多回路的扩张状态观测器实时估计其他模态的输出叠加、输入耦合、高次谐波以及外界激励等组成的集总干扰,并将估计值通过前馈补偿的方式消除干扰对整个控制系统的影响.然后,针对每个控制模态设计独立的PD反馈控制器.为了提高整个控制系统的振动抑制性能,结合多模态振动控制的特点,引入一种具有实际意义的性能指标函数.并基于此性能函数,提出基于logistic映射的自抗扰振动控制器参数自动优化方法.最后,利用dSPACE半实物仿真平台,搭建了四面固支壁板结构的压电振动控制实验系统.最后,多模态干扰激励的实验结果表明了所提的多模态自抗扰振动主动控制方法的有效性.
Considering the problems of model uncertainty and various unknown disturbances in the multi-modal active vibration system,we propose a multi-modal active disturbance rejection vibration control （ADRVC） scheme which is independent of the accurate mathematical model of the structure.The output superposition,the control input coupling of other modes,the harmonic effect and external excitations are considered as lumped disturbances,which are estimated by the multi-loop extended state observer （multi-loop ESO） and compensated via the feed-forward part.Then,an independent PD feedback controller is designed for each vibration mode.In order to improve the vibration control performances,we introduce a practical performance index function based on the characteristics of multi-modal structural vibration,which is optimized by self-tuning the parameters of ADRVC based on the logistic mapping.The experimental vibration control system for an all-clamped stiffened plate （ACSP） is conducted by using dSPACE semi-physical simulation platform.Results show that the multi-modal ADRVC is effective in the suppression of multi-mode structural vibrations.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2013年第12期1573-1579,共7页
Control Theory & Applications
基金
国家自然科学基金资助项目(51275447)
江苏省高校自然科学基金资助项目(13KJB460015)
安徽省自然科学基金资助项目(1308085ME79)
扬州大学科技创新培育基金资助项目(2012CXJ050)
关键词
振动控制
加筋壁板
压电元件
自抗扰控制器
vibration control
stiffened plate
piezoelectric element
active disturbance rejection controller
