航空发动机鲁棒线性变参数滤波器设计

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。

Study of robust linear parameter varying filter design for aeroengines

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.