基于LMI的航空发动机鲁棒弹性保性能控制  

Robust and Resilient Guaranteed Cost Control of Aero-Engine Based on LMI

作　　者：麻莉莉[1] 马静[1] 

机构地区：[1]西北工业大学动力与能源学院,陕西西安710072

出　　处：《测控技术》2014年第5期90-93,111,共5页Measurement & Control Technology

摘　　要：针对范数有界不确定性系统设计鲁棒弹性保性能控制器,将鲁棒弹性保性能控制器的设计问题转化为线性矩阵不等式(LMI)的可行解问题。以LMI的形式给出了鲁棒弹性保性能控制器存在的充分必要条件及控制器的设计步骤,并将该方法用于某型双转子涡喷发动机稳态双变量控制仿真,利用LMI/Matlab工具箱进行数值求解。既保持了鲁棒性也解决了传统鲁棒控制器的脆性问题,在系统和控制器增益存在摄动的情况下仍然保持稳定性和良好的性能指标。An advanced methodology,robust and resilient guaranteed cost control method for the system with norm-bounded uncertainties is presented.Firstly,the problem of the robust and resilient guaranteed cost control design is transformed into the feasibility of linear matrix inequality（LMI） and then the sufficient and necessary condition of the existence of the robust and resilient guaranteed cost controller is given in the form of a LMI.Secondly,the details of the design steps applied to a two-variable steady-state control for a dual-rotor turbojet engine are introduced.Finally,the problem is solved in LMI/Matlab Toolbox.The simulation result shows that not only the robustness is maintained but also the fragile problem of the traditional robust controller is solved,in the presence of perturbation of the system and the controller gain,the stability and the performance of the system are good.

关 键 词：航空发动机 线性矩阵不等式 鲁棒弹性控制 保性能控制 

分 类 号：V233.7[航空宇航科学与技术—航空宇航推进理论与工程]