一种反馈线性化弹道跟踪制导律设计

A Trajectory Tracking Guidance Law Based on Feedback Linearization Method

针对防空导弹弹道跟踪问题,基于反馈线性化理论设计了一种弹道跟踪制导律。使用反馈线性化方法对导弹质点运动模型精确线性化;利用该线性化模型和线性二次型最优调节器(LQR)理论设计跟踪制导律,并给出制导系统工作流程;在存在初始误差和随机风干扰的条件下,将所设计的跟踪制导律应用于导弹质点运动仿真,并与基于小扰动模型设计的LQR跟踪制导律进行比较。结果表明,基于反馈线性化所设计的制导律性能更好。

A trajectory tracking guidance law was designed for surface-to-air missile based on feedback linearization method.The feedback linearization method was used to get an accurate linear model from the mass model of missile.A guidance law was designed with the linear model and linear quadratic regulator（LQR）theory,and the work flow chart of the guidance system was proposed.A digital simulation with initial errors and random wind was carried out,and the feedback linearization（FL）guidance law was compared with LQR guidance law based on the small perturbance linear model.Results show that the FL guidance law obtained by the accurate linear model is better than LQR guidance law.