基于H∞回路成形的变循环发动机多变量控制  

Multivariable Control of Variable Cycle Engine Based on H∞-Infinity Loop Shaping

作　　者：刘露杨 郭迎清[1] 杨闻浩 刘严严 LIU Lu-yang;GUO Ying-qing;YANG Wen-hao;LIU Yan-yan(School of Power and Energy,Northwestern Polytechnical University,Xi’an 710129,China;AECC Shenyang Engine Research Institute,Shenyang 110015,China)

机构地区：[1]西北工业大学动力与能源学院,西安710129 [2]中国航发沈阳发动机研究所,沈阳110015

出　　处：《航空发动机》2023年第1期139-144,共6页Aeroengine

基　　金：国家科技重大专项(J2019V-0003)资助。

摘　　要：为了进一步提升变循环发动机的性能,针对3输入3输出变循环发动机模型,利用相对增益矩阵(RGA)分析了发动机内部的耦合性;采用基于目标函数的2自由度H∞回路成形法设计了多变量控制器,并与传统单变量PI方法做了对比。仿真结果表明:多变量控制系统具有良好的扰动抑制能力和跟踪性能,且能够顺利实现模态转换;与单变量方法相比,在同等的穿越频率及相位裕度约束下,n1回路阶跃响应的超调量减小了95.3%、调节时间缩短了51.5%;πe回路的最大偏移量减小了89.69%、调节时间缩短了27.4%。表明多变量方法可以对变循环发动机进行有效控制且在跟踪控制过程中的性能更优,可以显著提升变循环发动机的性能。In order to further improve the performance of the variable cycle engine,the relative gain matrix(RGA)was used to analyze the internal coupling of the 3-input 3-output variable cycle engine model.The multivariable controller was designed by using the two-degrees-of-freedom H∞-infinity loop shaping method based on the objective function and compared with the traditional single variable PI method.The simulation results show that the multivariable control system has good disturbance rejection ability and tracking performance,and can successfully realize modal transition.Compared with the single variable method,under the same crossover frequency and phase margin constraints,the overshoot of the n1 loop step response is reduced by 95.3%and the settling time is shortened by 51.5%.The maximum offset ofπe loop is reduced by 89.69%and the settling time is shortened by 27.4%.It shows that the multivariable method can effectively control the variable cycle engine and performs better in the tracking control process,which can significantly improve the performance of the variable cycle engine.

关 键 词：变循环发动机 多变量控制 H∞回路成形法 相对增益矩阵 

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]