涡扇发动机极点配置圆的多变量PI控制设计

Multivariable PI Control Design for Pole Placing Circle of Turbofan Engine

为了实现对涡扇发动机高精准稳态控制,在静态输出反馈渐近稳定条件的基础上,考虑控制系统的鲁棒稳定裕度,推导了闭环极点配置圆的条件,提出了 1 种多变量控制系统闭环极点配置圆的线性矩阵不等式 LMI 设计方法。在双转子涡扇发动机上进行了仿真验证,双回路控制仿真表明:控制系统对于高压转子转速和涡轮落压比回路具有伺服跟踪和抗回路耦合干扰性能;单回路控制仿真表明:在不考虑执行机构动态直接进行控制器设计时,其相角裕度将减小 30°左右,导致系统的动态性能和稳定性变差。

In order to realize the high precision steady state control of turbofan engine,on the basis of the asymptotic stability condition of static output feedback,the robust stability margin of the control system was considered,the condition of closed-loop pole placing circle was deduced and a multivariable control system design method of closed-spool pole placing circle was proposed based on linear matrix inequalities. Simulation verification was carried out on a dual-rotor turbofan engine. The simulation of double loop control shows that the control system has servo tracking and anti loop coupling interference performance for high pressure rotor speed loop and turbine blow down ratio loop. The simulation of single loop control shows that when the controller is designed directly without considering the actuator dynamics,the phase margin will be reduced by about 30°,which will lead to the deterioration of the dynamic performance and stability of the system.