发表机构
Technion, Israel Institute of Technology（以色列理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对机动目标，提出有界加速度的线性二次最优制导律，通过分段饱和指令和闭式可达角条件，显著减小饱和时的脱靶量和终端角误差。
AI 中文摘要
针对机动目标的终端拦截角控制会显著增加所需导弹加速度，除非明确考虑加速度限制，否则可能导致饱和和拦截失败。因此，交战被建模为具有有界加速度指令的线性二次最优控制问题。采用视线投影系数的多项式近似来更好地表示非线性交战几何并估计剩余飞行时间。有界最优指令在饱和段和非饱和段上推导，其切换时间在每个制导步长计算。该制导律针对任意线性导弹动力学推导，并针对零阶导弹动力学实现。对于零阶模型，以闭式形式推导了满足终端需求的条件，得到可达的指令终端拦截角的最小值和最大值。性能在非线性仿真中评估。与无约束对应方法相比，当遇到饱和时，有界公式产生显著更小的脱靶量和终端角误差。与相应的有界仅脱靶量制导律不同，所提出的制导律对于最小相位导弹动力学不会退化为无约束对应形式，因为在具有挑战性的交战末端，加速度指令可能饱和。有界制导律预见这种饱和并通过更早的机动进行补偿。
英文摘要
Terminal intercept-angle control against a maneuvering target can substantially increase the required missile acceleration, potentially leading to saturation and interception failure unless acceleration limits are explicitly addressed. The engagement is therefore formulated as a linear-quadratic optimal-control problem with bounded acceleration commands. Polynomial approximations of the line-of-sight projection coefficients are used to better represent the nonlinear engagement geometry and estimate the time-to-go. The bounded optimal command is derived over saturated and unsaturated arcs, whose switching times are computed at each guidance step. The guidance law is derived for arbitrary linear missile dynamics and implemented for zero-order missile dynamics. For the zero-order model, the conditions under which the terminal demands can be met are derived in closed form, yielding the minimum and maximum reachable commanded terminal intercept angles. Performance is evaluated in nonlinear simulations. Compared with its unconstrained counterparts, the bounded formulation yields substantially smaller miss distances and terminal-angle errors when saturation is encountered. Unlike corresponding bounded miss-only guidance laws, the proposed law does not reduce to its unconstrained counterpart for minimum-phase missile dynamics because the acceleration command can saturate near the end of challenging engagements. The bounded law anticipates this saturation and compensates through earlier maneuvers.
CommentsThis work has been submitted for journal publication. 37 Pages, 9 figures
