基于多项式平方和规划的涡扇发动机切换控制

Switching Control for Turbofan Engine Based on Sum of Squares Programming

针对航空发动机动态特性随飞行状态和飞行条件的变化范围大,单一控制器很难保证全包线内控制效果的问题,在航空发动机LPV模型基础上提出1种平滑过渡的切换控制方法。该方法根据发动机进口条件对飞行包线区域进行划分,按照多项式平方和规划理论以及平滑过渡切换律求取各子区域的Lyapunov函数及LPV控制器。在某型涡扇发动机上进行仿真验证,结果表明:所设计的切换LPV控制器在不同高度、马赫数和转速条件下均具有良好的性能和控制精度,可以实现平滑切换。

In order to solve the problem that the dynamic characteristics of aeroengine varied with the flight state and the flightcondition,and the single controller was difficult to guarantee the control effect in full flight envelope,a smooth transition control method wasproposed on the basis of the LPV model of the aeroengine.According to the inlet conditions of the engine, this method divided the area of theflight envelope, and the Lyapunov function and the LPV controller of each subregion were obtained according to the polynomial square sumplanning theory and the smooth transition switching law. The simulation results on a turbofan engine show that the switched LPV controllerhad good performance and control precision at different heights, Maher number and rotate speed conditions, and could achieve smoothswitching.