论文部分内容阅读
针对涡扇发动机线性变参数(Linear parameter varying,LPV)模型,给出了一种新的早期退化航空发动机部件性能LPV滤波器设计方法.该方法采用仿射依赖于参数的二次Lyapunov函数,在仿射二次稳定性的基础上,引入多凸性引理将滤波器求解问题转化为线性矩阵不等式(Linear matrix inequalities,LMI)约束下的凸优化问题,避免了求解参数化线性矩阵不等式(Parameterized linear matrix inequalities,PLMI)约束下的优化问题.针对某型早期退化涡扇发动机的仿真表明,该方法能以较高精度估计性能退化参数,且鲁棒性强,增益调度简单,具有一定的工程意义.
Aiming at the LPV model of turbofan engine, a new LPV filter design method for degraded aeroengine components performance is given. The method uses affine parameter-dependent quadratic Lyapunov function On the basis of affine quadratic stability, the introduction of convexity lexicon transforms the problem of the filter into a convex optimization problem under the constraints of linear matrix inequalities (LMI), which avoids the problem of solving parameterized linear matrix inequalities linear matrix inequalities (PLMI) .Aim at a certain type of early degenerative turbofan engine simulation results show that this method can estimate the performance degradation parameters with high accuracy, strong robustness, simple gain scheduling and a certain degree of engineering significance.