让飞行器按任意形状包围目标,无需知道目标动作
Robust Near-Optimal Nonlinear Target Enclosing Guidance
- 基于状态依赖李卡提方程设计非线性最优制导律
- 在干扰下仍能保持近最优性能,支持变距离包围
- 适合有转弯限制的飞行器,只需相对位置信息
本文提出一种非线性最优制导律,使追击者能够以任意几何形状包围目标,突破传统圆形环绕的局限。该方法仅需相对状态测量,以车辆侧向加速度作为转向控制,适用于具有转向约束的空中飞行器。制导律设计不依赖目标机动的精确信息,通过状态依赖李卡提方程(SDRE)框架,将非线性动力学转化为伪线性形式,利用状态相关加权矩阵生成局部最优反馈制导指令。尽管SDRE在无强干扰时可实现近最优性能,本文进一步引入积分滑模面以补偿扰动导致的轨迹偏离,并证明所设计方法具备灵活性:允许围拢曲率(可能时变)作为未知量处理。仿真验证了该方法的有效性。
原文摘要 · Abstract (English)
This paper proposes a nonlinear optimal guidance law that enables a pursuer to enclose a target within arbitrary geometric patterns, which extends beyond conventional circular encirclement. The design operates using only relative state measurements and formulates a target enclosing guidance law in which the vehicle's lateral acceleration serves as the steering control, making it well-suited for aerial vehicles with turning constraints. Our approach generalizes and extends existing guidance strategies that are limited to target encirclement and provides a degree of optimality. At the same time, the exact information of the target's maneuver is unnecessary during the design. The guidance law is developed within the framework of a state-dependent Riccati equation (SDRE), thereby providing a systematic way to handle nonlinear dynamics through a pseudo-linear representation to design locally optimal feedback guidance commands through state-dependent weighting matrices. While SDRE ensures near-optimal performance in the absence of strong disturbances, we further augment the design to incorporate an integral sliding mode manifold to compensate when disturbances push the system away from the nominal trajectory, and demonstrate that the design provides flexibility in the sense that the (possibly time-varying) stand-off curvature could also be treated as unknown. Simulations demonstrate the efficacy of the proposed approach.
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