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在三维空间中,根据导弹与目标的运动学关系,建立了导弹拦截的三维模型,分别针对目标非机动和机动的情形,充分利用已经测得的信息,采用自适应方法建立了一种新的非线性导引律,并且运用Barbalat引理以及Lyapunov方法严格证明了导引律的正确性,它能够保证拦截全局一致有界。和已有的控制律相比,该导引律具有设计简单,控制光滑,容易实现的特点,避免了使用变结构控制时所导致的自激震荡。仿真结果验证了控制律的有效性。
In three-dimensional space, according to the kinematic relationship between the missile and the target, a three-dimensional model of the missile interception is established. Taking into account the target non-maneuvering and maneuvering situation respectively, taking full advantage of the information already measured and using adaptive method to establish a new Nonlinear guidance law, and using Barbalat lemma and Lyapunov method to strictly prove the correctness of the guidance law, it can ensure that the interception of the global uniform bounded. Compared with the existing control laws, the guidance law has the characteristics of simple design, smooth control and easy realization, and avoids the self-excited oscillation caused by the variable structure control. Simulation results verify the effectiveness of the control law.