航空发动机鲁棒线性变参数滤波器设计

Study of robust linear parameter varying filter design for aeroengines

关键词:  航空发动机  参数估计  线性变参数系统  鲁棒滤波器

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

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。

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.