Abstract: Aeroengine operates in a broad flight envelope with a wide parameter variation range. It always needs to sacrifice the performance in some regions to guarantee the existence of a single controller for the whole region. To solve the above problem， a switching control of turbofan engine based on double-layer LPV model was proposed. According to the inlet conditions， the full envelope was firstly divided into several locally overlapped sub-regions， and the double-layer LPV model was built for each sub-region respectively and the corresponding Lyapunov functions were calculated. Then， the resulting Lyapunov functions were used to design a family of single LPV controllers for each sub-region. The combination of hysteresis switching strategy and common quadratic Lyapunov function can be used to realize the switching between each sub-region， meanwhile the stability of this closed-loop switching system was also proved. Finally， the simulation results show that this new method can improve the performance and enhance the robustness of the LPV controllers in the full envelope.

Key words: Aeroengine；Double-layer linear parameter varying model；Switching control；Hysteresis switching；Control

摘要： 航空发动机飞行包线和参数变化范围大，要想保证整个参数区间存在一个单一的LPV控制器，往往需要牺牲一些区域的性能。针对上述问题，提出一种基于双层LPV模型的切换控制方法。首先通过发动机进口条件将飞行包线划分为几个局部重叠的子区域，分别建立各个子区域的双层LPV模型并求取对应的Lyapunov函数，进而根据所得的Lyapunov函数设计各子区域的控制器，并采用滞后切换策略和共同二次Lyapunov函数相结合的方式实现各子区域间的切换，解决控制器在切换时抖振问题的同时保证切换的稳定性，最后以某型涡扇发动机为对象进行仿真，结果表明所设计的控制器在全包线内有良好的控制效果。

关键词: 航空发动机；双层线性变参数模型；切换系统；滞后切换；控制