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针对三维导弹-目标相对运动模型,结合反演控制、滑模控制和自适应技术,设计了一种新的自适应反演滑模末制导律。针对目标机动加速度上界难以获取的问题,将目标机动加速度视作模型的干扰,设计了一种自适应律对其进行在线估计,并将估计值补偿到制导律中。运用李亚普诺夫稳定性理论证明了系统的全局渐进稳定性和误差的收敛性。仿真结果证明了所设计的自适应反演滑模末制导律对机动目标的鲁棒性和有效性。
Aiming at the three-dimensional missile-target relative motion model, a new adaptive backstepping sliding mode guidance law is designed based on inversion control, sliding mode control and adaptive technology. Aiming at the problem that the upper bound of the target maneuvering acceleration is hard to obtain, the target maneuvering acceleration is regarded as the disturbance of the model. An adaptive law is designed to estimate the upper bound of the maneuvering acceleration and compensate the estimate to the guidance law. The Lyapunov stability theory is used to prove the global asymptotic stability and error convergence of the system. The simulation result proves the robustness and effectiveness of the proposed adaptive backstepping sliding mode guidance to maneuvering targets.