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~+

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