航空发动机控制系统中的增广LQR方法

Augmented LQR Method for Aeroengine Control Systems

采用一种增广LQR方法,将原系统状态的导数和指令跟踪的误差作为增广的状态向量,使设计出来的多变量系统不仅具有LQR的好的鲁棒性,而且在用于指令跟踪时能消除稳态误差。当状态量不是全部可测时,本文采用降维观测器得到一种准最优的增广LQR方法,其性能比LQG方法有显著改善,能满足航空发动机多变量控制系统的设计要求。最后,数字仿真验证了本文提出的方法。

This paper introduces an augmented LQR method. This method uses the derivatives of the original system states and command tracking errors as augmented states. By virtue of this, the augmented LQR method results in a robust multivariable system which can eliminate steady state errors, keeping as good robustness as LQR. When all system states are not measurable, a reduced order state observer is introduced, which is designated as near optimal LQR method. The resulted control system has superior performance compared to LQG, and is able to meet the requirements for aeroengine control system. Finally, simulation results attests to the properties of these methods.