带攻击角度约束的浸入与不变制导律

对含攻击角度约束的机动目标拦截问题,基于非线性系统控制的浸入与不变(immersion and invariance, I&I)理论设计了一种新的自适应制导律。将目标机动综合作用作为系统干扰建立拦截问题的数学模型。制导律设计分两步完成:第一步设计I&I干扰估计器估计系统干扰,第二步设计考虑估计器跟踪误差下的I&I制导律。然后基于输入-状态稳定理论证明闭环制导系统稳定性。由于不涉及切换函数的问题,制导指令光滑连续。在该制导律作用下,视线角速率收敛速度快,导弹抗目标机动的鲁棒性强,并能够保证攻击角度要求,仿真证实了制导律的有效性。

Guidance law with impact angle constraints based on immersion and invariance

Aiming at the problem of intercepting maneuvering targets with impact angle constraints, an adaptive guidance law is proposed based on immersion and invariance (I&I) nonlinear control method. The mathematical model of the interception problem is established by considering the synthetic action of target maneuver as system disturbance. The process of guidance law design is divided into two steps. Firstly, an I&I disturbance observer to estimate the system disturbance is designed. Secondly, an I&I guidance law by taking the observer tracking error into consideration is designed. Then the closed-loop system stability of the guidance system is proved based on input-to-state stability theory. The guidance command is smooth for no switch function is involved. The designed guidance law guarantees the fast convergence of the line of sight angular rate, the robustness of resistance against target maneuver and the requirement of impact angle constraints. The simulation results show the effectiveness of the presented guidance law.