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具有状态观测器的鲁棒重复控制系统设计
引用本文:周兰,吴敏,佘锦华,何勇.具有状态观测器的鲁棒重复控制系统设计[J].控制理论与应用,2009,26(9):942-948.
作者姓名:周兰  吴敏  佘锦华  何勇
作者单位:周兰,吴敏,何勇(中南大学,信息科学与工程学院,湖南,长沙,410083);余锦华(东京工科大学,计算机科学学部,日本,东京,192-0928) 
基金项目:国家自然科学基金资助项目,国家杰出青年基金资助项目 
摘    要:针对一类时变不确定系统,研究基于状态观测器的鲁棒重复控制系统设计问题.通过状态观测器重构系统状态,利用重构状态进行状态反馈.基丁2维系统稳定性理论,应川线性矩阵不等式(LMI)方法,推导出了重复控制系统存在状态观测器和重复控制器的一个LMI条件,并用LMI的町行解给出了状态观测器和重复控制器参数的具体形式.最后用数值仿真验证了本文所提方法的有效性.

关 键 词:不确定系统  状态观测器  鲁棒蘑复控制  线性矩阵不等式
收稿时间:5/6/2008 12:00:00 AM
修稿时间:2008/11/28 0:00:00

Design of robust repetitive control system with a state observer
ZHOU Lan,WU Min,SHE Jin-hua and HE Yong.Design of robust repetitive control system with a state observer[J].Control Theory & Applications,2009,26(9):942-948.
Authors:ZHOU Lan  WU Min  SHE Jin-hua and HE Yong
Affiliation:School of Information Science and Engineering, Central South University,School of Information Science and Engineering, Central South University,School of Bionics, Tokyo University of Technology,School of Information Science and Engineering, Central South University
Abstract:The problem of designing a robust repetitive-control system is studied based on a state observer for a classof plants with structural time-varying uncertainties. The reconstructed states from the state observer are employed in the state-feedback controller design. Based on the stability theory of two-dimensional (2D) systems, a sufficient condition for the existence of the state observer and the repetitive controller for the repetitive control system are presented in terms of a linear matrix inequality (LMI) whose feasible solutions are utilized to determine the parameters of the state observer and the repetitive controller. A numerical example demonstrates the effectiveness of the method.
Keywords:uncertain  systems    state observer  robust repetitive control  linear matrix inequality
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