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

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