基于保护映射理论的航空发动机LPV/PI控制

LPV/PI Control of Aeroengine Based on Guardian Maps Theory

针对具有强非线性特性的航空发动机控制问题,将基于保护映射(Guardian Maps,GM)理论的控制方法应用于航空发动机控制系统设计中。基于某型涡扇发动机非线性模型建立了线性变参数(Linear Parameter Varying,LPV)模型;根据保护映射理论设计不同调度参数下的PI(Proportion Integration)控制器,在设计过程中,只需通过给定的初始控制器就可以自动得到满足性能要求的控制器参数集合,避免了在多个平衡点进行控制器设计;以非线性模型为被控对象,采用积分分离PI控制,在飞行包线内的不同工作点进行仿真验证。结果表明:基于保护映射理论的控制方法在解决航空发动机控制系统的非线性问题时具有显著效果。

The control method based on the Guardian Maps（GM）theory was applied to the design of aeroengine control system for theaeroengine control problem with strong nonlinear characteristics. A linear parameter varying （LPV）model was established based on thenonlinear model of a turbofan engine. The PI （Proportion Integration） controller with different scheduling parameters was designed based onGM theory. In the design process,a set of controller parameters could be automatically obtained to meet the performance requirements by agiven initial controller,so that the design of the controller at multiple balanced points was avoided. Taking the nonlinear model as thecontrolled object,the simulation was carried out at different working points in the flight envelope using the integral separated PI control. Theresults show that the control method based on GM theory is effective in solving the nonlinear problem of aeroengine control system.