航空发动机解耦PI控制器设计方法

在离散时间域下，研究了航空发动机的最优PI控制器设计问题.首先，提出一种多回路耦合的通用PI控制器设计方法，基本思想是构造Lyapunov函数以保证闭环系统稳定，且性能在给定评价指标下最优，结论转化为线性矩阵不等式（LMI，Linear Matrix Inequality）描述，用现有工具箱很容易求解.随后，在通用控制器设计方法的基础上，考虑当前国内工程应用情况，针对大推力涡扇航空发动机的模型特性和控制要求，通过构造特殊形式的PI控制器以及矩阵变量，得到其多回路解耦的PI控制器设计方法，并讨论了性能评价指标矩阵的选取对控制器设计结果的影响，给出了指标矩阵的推荐结构.最后，以某型航空发动机控制为例，验证了所提方法的有效性.

Decoupling PI controller design for aeroengine

In discrete-time domain, the optimal PI controller design problem for aeroengine was researched. Firstly, a general coupling PI controller design method was presented. The key ideas were to construct Lyapunov function to guarantee the closed-loop stability, and the performance was optimized under the given evaluation index. The controller design results can be cast as a convex optimization problem involving a set of linear matrix inequalities (LMIs), which can be solved efficiently with commercially available software. Then, considering engineering application status in China, to suit for the large thrust turbo fan aeroengine model characteristics and meet the control requirements, a decoupling PI controller design method was developed based on the general method, by constructing special PI controller and matrix variables. The influence of performance evaluation index matrix selection to controller design results was discussed, and the suggested structure of performance evaluation index matrix was presented. Finally, an example was presented to verify the proposed theoretical results.