Three-dimensional cooperative guidance strategy and guidance law for intercepting highly maneuvering target

Cooperative interception of the target with strong maneuverability by multiple missiles with weak maneuverability in the three-dimensional nonlinear model is studied. Firstly, the three-dimensional nonlinear model of cooperative guidance is established. The three-dimensional reachable region is represented composed of lateral acceleration and longitudinal acceleration in the two-dimensional coordinate system. Secondly, the problem of the multiple missile's reachable coverage area is transformed into the problem of cooperative coverage. A cooperative coverage strategy is proposed and an algorithm for quickly calculating the number of required missiles is designed. Then, the guidance law based on the cooperative coverage strategy is proposed, and it is proved that cooperative interception of the target can be achieved under the acceleration limit. Moreover, the relations among the number of missiles, the initial array position of terminal guidance and the coverage area of the target’s large maneuver are analyzed. The dynamic adjustment strategy of guidance parameters is proposed to reduce the guidance error. Finally, simulation results show that multiple missiles with low maneuverability can achieve effective interception of target with strong maneuverability through the proposed cooperative strategy and cooperative guidance method.     

Three-dimensional time-varying sliding mode guidance law against maneuvering targets with terminal angle constraint

This paper deals with the problem of intercepting maneuvering targets with terminal angle constraints for missiles subjected to three-dimensional non-decoupling engagement geometry.To achieve the finite-time interception and satisfactory overload characteristics, a time varying sliding mode control methodology is developed based on a time base generator function. The main feature of the proposed guidance law guarantees the Line-of-Sight(LOS) angles to converge to small neighborhoods of the desir...     

Three-dimensional adaptive finite-time guidance law for intercepting maneuvering targets

To intercept maneuvering targets at desired impact angles, a three-dimensional terminal guidance problem is investigated in this study. Because of a short terminal guidance time, a finitetime impact angle control guidance law is developed using the fast nonsingular terminal sliding mode control theory. However, the guidance law requires the upper bound of lumped uncertainty including target acceleration, which may not be accurately obtained. Therefore, by adopting a novel reaching law, an adaptive sliding mode guidance law is provided to release the drawback. At the same time, this method can accelerate the convergence rate and weaken the chattering phenomenon to a certain extent. In addition, another novel adaptive guidance law is also derived; this ensures systems asymptotic and finite-time stability without the knowledge of perturbations bounds.Numerical simulations have demonstrated that all the three guidance laws have effective performances and outperform the traditional terminal guidance laws.     

有向拓扑条件下针对机动目标的分布式协同制导律设计

研究了在有向拓扑条件下针对机动目标的分布式协同制导律的设计问题。首先,根据飞行器与目标之间追击过程的几何关系建立制导过程系统模型,针对该模型的非线性问题采用动态反馈线性化方法进行处理。将目标未知机动视为干扰,通过扩张状态观测器进行观测,同时将该估计值用于制导律的设计中,通过直接补偿的方式剔除目标机动对飞行器剩余飞行时间的影响。然后,将所设计的制导律代入到制导模型中,利用一致性分析方法将多飞行器协同制导问题转化为一致性问题,利用极点分析的方法对非一致性子空间的收敛性进行分析,得到协同制导律收敛的充要条件。最后,通过仿真分析的方式对所设计的协同制导律以及制导律的参数选取方法进行分析。     

现实真比例导引拦截任意机动目标捕获区域

主动机动突防技术的发展给大气层外动能拦截带来了严重困难。假设目标机动加速度方向垂直于弹目视线、形式任意且有界,分析了用于大气层外拦截制导的现实真比例导引律（RTPN）对该任意机动目标的捕获区域。首先在考虑拦截器存在机动过载饱和限制的情况下,推导了比例导引系数的选择范围,可使RTPN的制导指令加速度在拦截过程中不超过拦截器饱和过载;其次基于不等式分析方法,在不考虑拦截器过载限制时,推导了RTPN对任意机动目标的捕获区域;然后结合拦截器机动过载限制,推导了RTPN对任意机动目标的更加实用的捕获区域;最后通过数值仿真算例,验证了所提出的理论。     

Impact time control guidance against maneuvering targets based on a nonlinear virtual relative model

Aiming at the problem of high-precision interception of air-maneuvering targets with impact time constraints, this paper proposes a novel guidance law based on a nonlinear virtual relative model in which the origin is attached to the target. In this way, the original maneuvering target is transformed into a stationary one. A polynomial function of the guidance command in the range domain with two unknown coefficients is introduced into the virtual model, one of the coefficients is determined to ...     

Performance analysis of PNG laws for randomly maneuvering targets

The performance of the conventional proportional navigation guidance (PNG) law for a randomly maneuvering target is considered. By means of the Lyapunov method, it is proved that an ideal missile guided by the conventional PNG law can always intercept a target which maneuvers with time-varying normal acceleration provided that the navigation constant is sufficiently large. The authors also propose a modified PNG (MPNG) law which seems to improve the performance of the conventional PNG law at the final phase of pursuit. Simulation results demonstrate that the MPNG law demands less missile acceleration at the final phase of pursuit than the conventional PNG law     

Reinforcement learning-based missile terminal guidance of maneuvering targets with decoys

In this paper, a missile terminal guidance law based on a new Deep Deterministic Policy Gradient(DDPG) algorithm is proposed to intercept a maneuvering target equipped with an infrared decoy. First, to deal with the issue that the missile cannot accurately distinguish the target from the decoy, the energy center method is employed to obtain the equivalent energy center(called virtual target) of the target and decoy, and the model for the missile and the virtual decoy is established. Then, an imp...     

主-从多飞行器三维分布式协同制导方法

针对三维空间下的多飞行器协同打击问题,基于主飞行器和从飞行器架构提出了两种分布式协同制导方法,实现了所有飞行器最终对目标的同时命中。方法1在定义协调变量的基础上,通过对所选协调变量的一致性协同控制使从飞行器状态同步于主飞行器状态。方法2提出了分布式观测器对主飞行器的状态进行准确估计,各从飞行器通过跟踪观测的主飞行器状态信息实现命中时间的一致。理论分析表明,两种方法都可保证多飞行器同时命中目标。仿真结果验证了所提方法的正确性和有效性。