This paper is concerned with optimal flight trajectories in the presence of windshear. The abort landing problem is considered with reference to flight in a vertical plane. It is assumed that, upon sensing that the airplane is in a windshear, the pilot increases the powersetting at a constant time rate until maximum power setting is reached; afterward, the power setting is held constant. Hence, the only control is the angle of attack. Inequality constraints are imposed on both the angle of attack and its time derivative. The performance index being minimized is the peak value of the altitude drop. The reulting optimization problem is a minimax problem or Chebyshev problem of optial control, which can be converted into a Bolza problem through suitable transformations. The Bolza problem is then solved employing the dual sequential gradient-restoration algorithm (DSGRA) for optimal control problems. Numerical results are obtained for several combinations of windshear intensities, initial altitudes, and power setting rates.
Transformation techniques for minimax optimal control problems and their application to optimal flight trajectories in a windshear: Optimal abort landing trajectories
Transformationstechnik fuer Minimax-Optimalregelung und deren Anwendung bei optimalen Flugtrajektorien unter Seitenwind: optimale Landungstrajektorien
1988
20 Seiten, 21 Bilder, 4 Tabellen, 27 Quellen
Conference paper
English