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基于LMI的压电陶瓷执行器H∞状态反馈控制

发表时间:2013-08-31  浏览量:1036  下载量:482
全部作者: 刘向东,蔡春霞
作者单位: 北京理工大学自动化学院
摘 要: 为补偿压电陶瓷执行器Bouc-Wen模型的迟滞特性,建立迟滞观测器进行前馈补偿,将迟滞观测的误差和参考输入作为系统扰动,基于线性矩阵不等式(linear matrix inequality, LMI)设计H∞状态反馈控制器,进行闭环控制。基于具有典型迟滞非线性的压电陶瓷执行器纳米定位平台,进行前馈补偿开环控制以及基于迟滞观测器补偿的H∞控制仿真。仿真结果表明:状态反馈闭环控制的控制精度显著提高,且鲁棒性较好。
关 键 词: 控制理论;压电陶瓷执行器;Bouc-Wen模型;前馈补偿;H∞控制
Title: H∞ state feedback control of piezoelectric actuator based on LMI
Author: LIU Xiangdong, CAI Chunxia
Organization: School of Automation, Beijing Institute of Technology
Abstract: In this paper, a hysteresis observer was established to compensate the hysteresis of Bouc-Wen model of the piezoelectric actuators. Then regarding the observation error and reference input as system disturbance, the H∞ state feedback controller was devised to achieve closed-loop control of the piezoelectric actuators based on linear matrix inequality (LMI). The feedforward compensation opened-loop control and H∞ control simulation were conducted in the piezoelectric actuator nano positioning platform. The simulation results showed that the state feedback closed-loop control could achevie high precision and good robustness.
Key words: control theory; piezoelectric actuator; Bouc-Wen model; feedforward compensation; H∞ control
发表期数: 2013年8月第16期
引用格式: 刘向东,蔡春霞. 基于LMI的压电陶瓷执行器H∞状态反馈控制[J]. 中国科技论文在线精品论文,2013,6(16):1569-1575.
 
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