攻击时间约束下的三维制导律

Three-dimensional Guidance Law with Impact Time Constraint

关键词:  攻击时间约束  动态逆控制  滑模变结构  增广比例  制导律

Key words:  Impact time constrained  Dynamic inversion control  Sliding mode variable structure  Augmented proportional  Guidance law

摘要:

基于三维空间内导弹-目标的相对运动方程，针对固定目标，提出了一种攻击时间约束下的多导弹协同攻击的三维制导律。俯仰通道设计了滑模变结构制导律,偏航通道基于动态逆控制理论，采用机动控制，调整导弹的攻击时间，使其趋于指定值，并与在俯仰通道采用推导的增广比例制导律作了比较。最后，仿真结果表明，该制导律最终能使攻击的剩余时间误差趋于零，能够满足对制导精度和攻击时间的要求，证明了算法的正确性和优越性。

Abstract:

Based on the missile-target relative motion equations in the three-dimensional space，a impact time constrained three-dimensional guidance law was deduced for multiple missiles in attacking a stationary target simultaneously at the desired impact time.A sliding mode variable structure guidance law was adopted in the pitch channel and the yaw channel was controlled by a maneuver control system using the dynamic inversion control，the maneuver control instruction was able to adjust the impact time to a designated value，and the pitch control command was revised as the instruction of the derived augmented proportional guidance law for comparison.Finally，numerical simulation results demonstrate that the proposed guidance law can make time-to-go error be ultimately reduced to zero and satisfies the requirements of the impact time as well as the guidance precision，the validity and superiority of the algorithm is confirmed.