AIAA Guidance, Navigation, and Control Conference · 2010 · 14 citations · 13 references
Social SciencesAerospace EngineeringGeometric ModelingOperations ResearchOptimizationAir WarfareDefense PlanningGeometric OptimizationMissile ControlOptimal ControlTrajectory OptimizationDifferential Geometry FormulationGeometric AlgebraMidcourse GuidanceOptimal AllocationOptimal Control For MissilesOptimal Decision TheoryOptimal Resource Allocation
In this paper, a cooperative mid course missile guidance law is proposed by using Earliest Intercept Geometry (EIG) concept and the optimal control theory for area air defence. In the cooperative mid course guidance problem, since there are many attacking and defending missiles, how to allocate the defending missiles to the attacking missiles is one of most important issues. Therefore, we focused on developing a best allocation plan by using the EIG concept. Each EIG between an attacking and defending missile is analytically generated for the range of all possible manoeuvre of the challenging missile using differential geometry concepts. All parameters to find an optimal allocation are also analytically derived by using simple algebra. Then, we formulate a simple optimal allocation problem and introduce a numerical approach to solve the problem. The computational
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Optimal control theory: An introduction
W.S. Levine · IEEE Transactions on Automatic Control · 1972 · 1.6K citations