基于LMI的结构摄动系统二次稳定裕度分析

推进技术 ›› 2000, Vol. 21 ›› Issue (2): 41-44.

基于LMI的结构摄动系统二次稳定裕度分析

谢光华,曾庆福

西北工业大学数据处理中心!陕西西安710072;西北工业大学数据处理中心!陕西西安710072

发布日期:2021-08-15
基金资助:
航空科学基金资助项目 !(960 530 4 0 )

Quadratic stability margin for systems with structured perturbations based on LMI

Data Processing Center,Northwestern Polytechnical Univ.,Xi′an 710072,China;Data Processing Center,Northwestern Polytechnical Univ.,Xi′an 710072,China

Published:2021-08-15

摘要/Abstract

摘要： 研究了结构摄动系统满足指定性能的稳定裕度问题。从系统完全二次稳定性出发 ,给出了结构摄动系统满足 H∞ 性能指标的二次稳定半径定义 ,并且转化为基于线性矩阵不等式 (LMI)的极值问题进行计算。对于广义参数不确定性系统 ,基于 L MI给出了使二次稳定裕度尽可能大的 H∞ 控制器设计方法。该方法应用于某型双转子涡喷发动机稳态控制器的设计 ,拓宽了系统的鲁棒稳定界

关键词: 航空发动机;控制系统;鲁棒控制;稳定性分析;矩阵算法

Abstract: The stability margin satisfied the performance for systems with structured perturbation was investligated.Based on the completely quadratic stability,a definition of the quadratic stability radius was given which satisfied the H ∞ performance target for the systems.And the calculation of radius was transformed to solve the extremum problem based on LMI.For generalized systems with parameter uncertainty,a approach was presented for a H ∞ controller design to make the quadratic stability radius as big as possible and used to design a steady static controller of a certain twin spools turbojet engine.The robust stability margin of system was extended.

Key words: Aircraft engine;Control system;Robost control;Stability analysis;Matrix algorithm

谢光华,曾庆福. 基于LMI的结构摄动系统二次稳定裕度分析[J]. 推进技术, 2000, 21(2): 41-44.