一种Terminal滑模制导规律研究

A Guidance Law Based on Terminal Sliding Mode

为拦截高速、大机动目标,建立了纵向平面内的拦截器-目标非线性相对运动学模型,基于Terminal滑模控制中滑模面上的跟踪误差能够在有限时间内收敛到0的思想,设计了纵向平面内的Terminal滑模制导律,并结合Lyapunov稳定性理论对其稳定性进行了证明推导;将继电特性连续化的方法引入到制导律设计中,实现了准滑动模态控制.仿真表明,所设计制导律能使视线角速率在有限时间内收敛到0.该制导律符合动能拦截器可用过载小、燃料受限、对脱靶量要求高等要求,具有一定的工程应用价值.

To intercept high-speed big-maneuvering target,the nonlinear dynamic model of interceptor-target in longitudinal plane was built.Based on the terminal variable-structure control theory in which the tracking error on the sliding mode surface can converge to zero in finite time,the terminal sliding-mode guidance law in longitudinal plane was designed,and the asymptotic stability of guidance system was strictly proven by Lyapunov stability theory.The method of continuing the relay characteristics was introduced to guidance law design,and the law was improved to realize the quasi-sliding mode dynamic control.Simulation results show that the guidance law can make the LOS（line of sight） angular rate converge to zero in finite time.The guidance law can meet the requirements such as kinetic kill vehicle with low overload,limited fuel and small miss-amount,and it offers references for engineering application.