航空发动机鲁棒线性变参数滤波器设计

推进技术 ›› 2009, Vol. 30 ›› Issue (2): 209-212.

航空发动机鲁棒线性变参数滤波器设计

韩小宝,王仲生

西北工业大学航空学院;西北工业大学航空学院

发布日期:2021-08-15
基金资助:
国家自然科学基金项目(50675178)

Study of robust linear parameter varying filter design for aeroengines

School of Aeronautics,Northwestern Polytechnical Univ.,Xi′an 710072,China;School of Aeronautics,Northwestern Polytechnical Univ.,Xi′an 710072,China

Published:2021-08-15

摘要/Abstract

摘要： 针对航空发动机线性变参数(LPV)模型部件性能参数估计问题,给出了一种新的鲁棒LPV滤波器设计方法。基于参数依赖的二次Lyapunov函数及仿射二次稳定性概念得到了稳定且满足H∞性能指标滤波器存在的充分条件,利用函数多凸性概念将其转化为线性矩阵不等式(LMI)约束下的常规凸优化问题,得到了滤波器的解。针对某型退化涡扇发动机部件性能参数估计的仿真结果表明,该滤波器的精度和鲁棒性满足设计要求。

关键词: 航空发动机;参数估计;线性变参数系统;鲁棒滤波器

Abstract: According to the characters of the aeroengine parameter estimation,a new robust linear parameter varying(LPV)filter for LPV model of aeroengine is proposed.Based on the notion of affine quadratic stability and parameter-dependent quadratic Lyapunov function,the sufficient condition which guarantees the filter stability and H∞ performance target is given,and the design method is converted into a normal convex optimal problem under the constraint of linear matrix inequalities(LMI) by using the conception of multi-convexity.The accuracy and robustness of the filter design method are validated by simulation on the parameter estimation for a deteriorated turbofan engine.

Key words: Aeroengines;Parameter estimation;Linear parameter varying system;Robust filter

韩小宝,王仲生. 航空发动机鲁棒线性变参数滤波器设计[J]. 推进技术, 2009, 30(2): 209-212.