Abstract
A new Predictor-Corrector homotopy method is proposed based on a variable order predictor and a stability oriented steplength control. Predictors of different orders are combined by order controls, is developped that gives way to a significant speedup in the solution of optimal control problems. The proposed method is applied to the problem of escaping from a microburst encountered during landing approach. It can be shown that the optimized three-dimensional escape trajectory is very efficient and superior to the two-dimensional trajectory restricted to the vertical plane. Variations of aircraft and problem parameters show that superiority of lateral escape holds for many cases.
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References
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© 1999 Springer-Verlag Berlin Heidelberg
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Grigat, E., Sachs, G. (1999). Flight Path Optimization with a New Homotopy Method for Reducing Safety Hazards in Microbursts. In: Bungartz, HJ., Durst, F., Zenger, C. (eds) High Performance Scientific and Engineering Computing. Lecture Notes in Computational Science and Engineering, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-60155-2_16
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DOI: https://doi.org/10.1007/978-3-642-60155-2_16
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