By a News Reporter-Staff News Editor at Journal of Technology -- Current study results on Control Engineering have been published. According to news originating from Ames, Iowa, by VerticalNews correspondents, research stated, "Motivated by aerospace applications, this paper presents a methodology to use second-order cone programming to solve nonconvex optimal control problems. The nonconvexity arises from the presence of concave state inequality constraints and nonlinear terminal equality constraints."
Our news journalists obtained a quote from the research from Iowa State University, "The development relies on a solution paradigm, in which the concave inequality constraints are approximated by successive linearization. Analysis is performed to establish the guaranteed satisfaction of the original inequality constraints, the existence of the successive solutions, and the equivalence of the solution of the original problem to the converged successive solution. These results lead to a rigorous proof of the convergence of the successive solutions under appropriate conditions as well as non-conservativeness of the converged solution. The nonlinear equality constraints are treated in a two-step procedure in which the constraints are first approximated by first-order expansions, then compensated by second-order corrections in each of the successive problems for enhanced convergence robustness."
According to the news editors, the research concluded: "Applications in highly constrained spacecraft rendezvous and proximity operations, finite-thrust orbital transfers, and optimal launch ascent are provided to demonstrate the effectiveness of the methodology."
For more information on this research see: Solving Nonconvex Optimal Control Problems by Convex Optimization. Journal of Guidance Control and Dynamics, 2014;37(3):750-765. Journal of Guidance Control and Dynamics can be contacted at: Amer Inst Aeronautics Astronautics, 1801 Alexander Bell Drive, Ste 500, Reston, VA 22091-4344, USA.
The news correspondents report that additional information may be obtained from X.F. Liu, Iowa State University, Dept. of Aerosp Engn, Ames, IA 50011, United States.
Keywords for this news article include: Ames, Iowa, United States, Control Engineering, North and Central America
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