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DOI: 10.23952/cot.2024.39
Received December 27, 2023; Accepted January 16, 2024; Published online August 22, 2024
Abstract. Constrained impact control problems with the minimization of the energy loss due to the induced drag are considered. The problem is formulated as a nonlinear optimal control problem with a known velocity profile. Since no analytical solution is available, we resort to a numerical parameter continuation procedure. To overcome the sensitivity of the numerical solution to the initial guess, we propose using a semi-analytical solution of an approximate control problem. To validate the optimality of the obtained solutions, an extension of known results on solution characterization in a constant-speed problem is proposed. The numerical simulations show that the proposed approach can generate optimal trajectories for a large set of practically important initial conditions.
How to Cite this Article:
G. Merkulov, V. Turetsky, T. Shima, Optimization of impact-time control for variable speed interceptor: Numerical aspects, Commun. Optim. Theory 2024 (2024) 39.