基于切换多胞LPV的涡扇发动机全包线中间状态控制

针对航空发动机全包线内参数变化范围较大，单一控制器很难保证全包线内的控制效果的问题，提出了基于切换多胞线性变参数（LPV）的发动机全包线中间状态控制方法.根据发动机的进口条件将飞行包线分为相互重叠的子区域，将多胞理论及状态重置切换方法引入控制器求解，给出了能够保证切换多胞LPV系统鲁棒稳定的线性矩阵不等式（LMI）条件；利用求解出的Lyapunov矩阵设计各子区域的LPV控制器，并结合几何位置调度策略实现子区域LPV控制；利用局部重叠的滞后切换策略和状态重置切换律实现全包线内各控制器的切换，并证明了该闭环切换系统的稳定性.最终以某型涡扇发动机为研究对象进行仿真验证，结果表明:采用该控制方法稳态误差能够控制在0.1%以内，超调量不大于0.5%. 

Intermediate state control of turbofan engine in full envelope based on switched polytopic LPV approach

The parameter range of aeroengine in full flight envelope is so wide that a single controller is difficult to ensure the performance. To avoid this problem, a switched polytopic linear parameter varying (LPV) approach was proposed for the turbofan engine intermediate state control. The full envelope was firstly divided into several locally overlapped sub-regions according to the inlet conditions. The state reset method and the polytopic gain scheduling technique were used to derive the robust stability conditions of this switched LPV system, which was depicted as linear matrix inequality (LMI). Then, the resulting Lyapunov matrices were used to design a family of single LPV controllers which can be applied in the sub-region control combined with the scheduling strategy based on geometric position; Hysteresis switching strategy based on the overlapped sub-regions was used for switching, meanwhile the stability of this closed-loop switching system was also proved. Simulation results with a turbofan engine model show that the steady state error is less than 0.1 percent, and the maximum overshoot is less than 0.5 percent.