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A Direct Approach to Solving Optimal Control Problems
May/June 1999 (vol. 1 no. 3)
pp. 73-75
Trajectory optimization-finding the best way to "steer" a vehicle as it travels from one point to another-is a problem the aerospace industry faces often. For a high-performance fighter aircraft, this might mean trying to go from one altitude to another as quickly as possible to minimize flight time. An optimal trajectory for a spacecraft in orbit might require minimizing fuel consumption. When computing the reentry path for a vehicle, such as the space shuttle, it is often useful to construct the steering to minimize aerodynamic heating. Performance analysts encounter a wide variety of problems when determining such trajectory optimizations-all of which can be formulated mathematically as optimal-control problems.
John T. Betts, "A Direct Approach to Solving Optimal Control Problems," Computing in Science and Engineering, vol. 1, no. 3, pp. 73-75, May-June 1999, doi:10.1109/5992.764218
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