An integrated guidance and control problem under state constraints is considered for terminal homing of missile engagement. The problem is formulated as a moderate-size convex optimization problem, which can be efficiently solved via existing techniques such as interior point methods or alternating direction method of multipliers. Two different formulations are presented, and their computation time is investigated. We address computational issues that arise in implementing the optimization solvers on-board, and discuss several problem-specific hands-on techniques that help reducing the computational complexity and accelerating the convergence of the optimization algorithms.

中文翻译：

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具有约束的集成制导和控制的稀疏和密集公式中的计算问题

考虑状态约束下的集成制导和控制问题，用于导弹交战的末端自导。该问题被表述为一个中等规模的凸优化问题，可以通过现有技术如内点法或乘法器交替方向法有效地解决该问题。提出了两种不同的公式，并研究了它们的计算时间。我们解决了在实现板载优化求解器时出现的计算问题，并讨论了几种特定于问题的动手技术，这些技术有助于降低计算复杂性并加速优化算法的收敛。