基于LMI的航空发动机多变量H_∞固定阶控制的研究

LMI Based Multivariable H_∞Fixed-Order Control for an Aero-Engine

提供了一种新的航空发动机多变量静态输出反馈的固定阶PI控制器的设计方法。固定阶控制器的综合问题一般表征为满足双线性矩阵不等式(BMI)约束优化问题,获得BMI约束下的最优解非常困难。在航空发动机特定的控制条件下,将固定阶控制器的BMI问题转化为标准的线性矩阵不等式(LMI)问题,并推导出静态输出反馈的H∞固定阶控制器存在的条件及控制器的设计方法。使用该技术对某型涡扇发动机控制系统进行固定阶PI控制器设计,仿真结果表明,该控制系统其性能和鲁棒性满足要求。

A new design method of multivariable static output feedback H_∞fixed-order PI controller for aero-engine is presented.The synthesis of H_∞fixed-order controller can be formulated as a Bilinear Matrix Inequality (BMI) optimization problem which is hard to solve.But under certain aero-engine conditions,the BMIs raised in the H_∞fixed-order design problem can be converted into standard Linear Matrix Inequalities (LMIs).Then the existence condition of H_∞fixed-order controller is deduced and the design procedures of the controller are proposed.The approach proposed in the paper has been successfully applied to turbo-engine fixed-order PI controller design.The simulation results show that the performance and robustness of controlled system are satisfied.