基于LQR的飞机纵向控制律设计

介绍了最优二次型理论 LQR,以及加权矩阵 Q的选取。建立了某型固定翼飞机的纵向小扰动方程,利用显模型最优二次型法设计了飞机的纵向控制律,对飞机的 C*响应进行了改善。利用低阶等效系统方法,对飞机的法向过载和俯仰角速率进行拟配,并对设计的控制律进行飞行品质的评价,仿真结果表明所设计的控制律符合 而现代控制理论可以得到系统的状态变量模型,相比éêê ê? GJB 185-86的相关规范。

Design of Aircraft Longitudinal Control Law Based on LQR

The paper introduces the theory of linear quadratic optimal control and the selection of the weighting matrix Q . The longitudinal small disturbance equation of a fixed-wing aircraft is established. The longitudinal control law of the air?craft is designed by the optimal quadratic method of explicit model, which improves the C* response of the aircraft. By us?ing the method of low-order equivalent system, the normal overload and pitch rate of the aircraft are matched, and the de?signed control law is evaluated for flight quality. The simulation results show that the designed control law meets the tech?nical specifications.