一种航空发动机相似多变量控制方法

推导了航空发动机线性二次型调节器(LQR)方法相似化公式,分析并指出了存在的问题:(1)在高空低马赫数时,系统响应速度太慢,无法满足快速性要求;(2)在低空高马赫数时,控制增益太高,这一方面可能导致执行机构饱和,另一方面会使控制器在噪声、滞后等干扰情况下性能变坏.本文对相似LQR控制进行了改进,在一定程度上解决了上述问题.本文还证明了改进的相似LQR控制的稳定性,并将其推广至增广LQR方法.

Theory of Similarity Based Aeroengine Multivariable Control Method

The procedure of applying the theory of similarity to LQR method in aeroengine control systems was developed.The method was analyzed and the shortcomings were pointed out:(1) the closed-loop system responds slowly at high altitude and low Mach number,which can not meet the swift respond requirement;(2) the closed-loop system requires too much control energy at low altitude and high Mach number.On one hand,this is very likely to cause aeroengine actuator saturation.On the other hand,this would degrade the performance of the closed-loop system under disturbances such as noises and delays.Hence,an improved procedure of applying the theory of similarity was developed and it solved the above problems reasonably well.Further more,the stability of the proposed method was proved.It was also extended to the augmented LQR method.Finally,the design procedure of a turbofan engine control system exemplified the above results.