基于线性二次型调节器算法的滚转角控制方法

Linear Quadratic Regulator Algorithm for Roll Angle Control

针对二维弹道修正引信滚转角跟踪滚转角指令的控制方法复杂并存在稳态误差的问题,提出了基于线性二次型调节器(LQR)控制算法的引信滚转角控制方法。该方法先将引信滚转通道运动的线性化数学模型写成状态空间描述的形式,再判断引信滚转通道运动的状态空间描述是否满足LQR控制算法的应用条件,最后应用LQR控制算法得到最优控制律。仿真表明,基于LQR控制算法的引信滚转角控制方法与传统的双闭环PID控制方法相比,控制精度高,调节时间短。

A fuze roll angle control method based on linear quadratic regulator（LQR）control algorithm was put forward for controlling roll angle on the two-dimensional course correction fuze.Firstly,the linearized mathematical model of roll channel needed to be written in the form of state space.In the next place,it was needed to determine whether the model satisfies the requirement of LQR control algorithm.Finally,optimal control law followed from LQR control algorithm.Simulation results showed that the algorithm possessed high controlling accuracy,short regulating time and excellent feasibility in engineering.