基于LMI的不确定线性系统观测器设计

推进技术 ›› 2000, Vol. 21 ›› Issue (2): 45-47.

基于LMI的不确定线性系统观测器设计

范训礼,谢振华,戴航,张新家,戴冠中

西北工业大学控制与网络研究所!陕西西安710072;西北工业大学控制与网络研究所!陕西西安710072;西北工业大学控制与网络研究所!陕西西安710072;西北工业大学控制与网络研究所!陕西西安710072;西北工业大学控制与网络研究所!陕西西安710072

发布日期:2021-08-15
基金资助:
国家自然科学基金资助项目! (698740 32 )

LMI-based observer design for uncertain linear systems

Control and Network Inst.,Northwestern Polytechnical Univ.,Xi′an 710072,China;Control and Network Inst.,Northwestern Polytechnical Univ.,Xi′an 710072,China;Control and Network Inst.,Northwestern Polytechnical Univ.,Xi′an 710072,China;Control and Network Inst.,Northwestern Polytechnical Univ.,Xi′an 710072,China;Control and Network Inst.,Northwestern Polytechnical Univ.,Xi′an 710072,China

Published:2021-08-15

摘要/Abstract

摘要： 研究了不确定线性系统的观测器设计问题。利用凸优化理论将基于线性矩阵不等式 (LMI)的观测器设计转换为鲁棒控制器设计 ,给出了标准的 LMI形式。采用该方法的设计过程只需求解三个线性矩阵不等式就可得到鲁棒控制器。在航空发动机控制应用中表明 ,基于 LMI的观测器对于具有干扰的系统仍然能保持系统稳定 ,数值仿真表明控制效果优于文献 [1 ]的结果

关键词: 航空发动机;线性系统;矩阵算法;鲁棒控制;观测器设计

Abstract: The problem of observer design for uncertain linear systems was presented.The LMI based observer design was trarsformed into robust controller design and the form of standard LMI was given.One got the robust controller through the given approach by solving only three linear matrix inequalities.As an example,a robust controller was designed to the twin spool turbojet engine system.The result shows that even if there exists uncertain disturbance the system is absolutely stable,and is better than that of reference[1]

Key words: Aircraft engine;Linear system;Matrix algorithm;Robost control;Observer design~+

范训礼,谢振华,戴航,张新家,戴冠中. 基于LMI的不确定线性系统观测器设计[J]. 推进技术, 2000, 21(2): 45-47.