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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.
In the discrete time domain, the design of aero-engine optimal PI controller is studied.First, a multi-loop coupling general PI controller design method is proposed, the basic idea is to construct Lyapunov function to ensure the stability of the closed-loop system, and its performance in Given the optimal evaluation index, the conclusion is transformed into the description of Linear Matrix Inequality (LMI), which can be easily solved by the existing toolbox.Secondly, based on the general controller design method, considering the current domestic engineering application According to the model characteristics and control requirements of a large-thrust turbofan aero-engine, a PI controller with multi-loop decoupling method was designed by constructing special PI controllers and matrix variables. The selection of performance evaluation index matrix Controller design results, and gives the recommended structure of the index matrix.Finally, taking a certain type of aero-engine control as an example, the validity of the proposed method is verified.