航空发动机多变量变增益控制器设计及仿真

针对航空发动机全包线工作下的多变量变增益控制器设计问题，给出了一种改进的埃德蒙德算法（以下简称KQ算法）并进行了仿真应用。首先，阐明了多变量KQ算法的控制原理与优化算法，进而通过闭环期望函数选择、控制器结构选择以及控制器参数优化进行了KQ控制器设计，并针对所设计的KQ控制器，给出了稳定性证明和系统奇异值分析。分析表明所设计KQ控制器能够使系统闭环稳定，且具有满意的低频指令跟踪、干扰抑制能力、传感器噪声的抑制、高频未建模动态的鲁棒稳定性和低频发动机建模误差不敏感等性能，满足发动机控制要求。其次，通过调度变量选择、设计点KQ控制器设计以及采用插值方法的非设计点KQ控制器设计等过程实现某型涡扇发动机的多变量KQ变增益控制器设计研究，并进行仿真验证。仿真结果表明，设计点条件下，当涡轮后温度和增压比参考输入均为阶跃信号时，其被控参数响应速度很快，且上升时间均小于1 s，耦合影响小于6%，设计点KQ控制器满足控制要求；非设计点条件下，利用插值方法建立的KQ变增益控制器具有较好的性能，能够实现该型涡扇发动机全包线控制性能要求。

Multi-variable variable gain controller design and simulation based on aero engine

Aimed at multi-variable variable gain controller design of aero engine in full envelope work, an improved KQ algorithm and its simulation applications are presented. First, we clarified the control theory and optimization algorithm of multi-variable KQ algorithms, and designed KQ controller via closed-loop desired function selection, controller structure selection and controller parameter optimization. Then we gave the stability proof and singular value analysis based on the designed KQ controller. Analysis shows that the designed KQ controller can make the system closed-loop stability, and has satisfactory low frequency instruction track, interference suppression, sensor noise suppression, high frequency unmodeled dynamic robust stability and non-sensitive low frequency engine modeling error, which can meet the control requirements of engine. Then, we designed a turbofan engine multi-variable KQ gain scheduling controller through scheduling variable selection, designed-point's KQ controller design and undersigned-points' KQ controller design by interpolation, and carried out a simulation to verify it. The results show that at the designed point, the controlled parameters have a fast response, the rise time is less than 1 s, and the coupling effect is less than 6% when the turbine temperatures and pressure ratios are step reference input signals. The KQ variable gain controller by interpolation method has better performance at the undersigned-points, and can achieve the turbofan engine full envelope control performance requirements.