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为拦截空间机动目标,将目标的机动加速度视为外界干扰,建立纵向平面内拦截器与目标间非线性相对运动的动力学模型;用反馈线性化与线性H∞理论相结合的方法,设计了一种新的鲁棒末制导律,并通过数字仿真结果验证了该末制导律的有效性。该末制导律对外界干扰具有较强的鲁棒性,既可在目标以多种形式机动逃逸时使拦截器能以特定速度直接撞击目标,还可使拦截过程中拦截器与目标的视线角速度保持在较小的数值范围。同时,文中的方法避免了应用非线性H∞理论求解Hamilton-Jacobi-Issacs偏微分不等式的繁琐,简化了求解过程。
In order to intercept space maneuvering targets, the maneuvering acceleration of the target is considered as external disturbance, and the dynamic model of nonlinear relative motion between interceptor and target in longitudinal plane is established. By combining feedback linearization and linear H∞ theory, A New Robust Terminal Guidance Law and the Validation of the Terminal Guidance Law by Numerical Simulation. The final guidance law has strong robustness against external disturbance, which can make the interceptor collide with the target directly at a specific speed when the target is in various forms of maneuvering, and can also make the intercept speed of the interceptor and the target line of sight angular velocity Keep in a small range of values. At the same time, the method in this paper avoids the cumbersome solution to the Hamilton-Jacobi-Issacs partial differential inequality by applying the nonlinear H∞ theory and simplifies the solving process.