Quasi-steady flight to quasi-steady flight transition for abort landing in a windshear: Trajectory optimization and guidance
type: Item
instance of: scholarly article
title: Quasi-steady flight to quasi-steady flight transition for abort landing in a windshear: Trajectory optimization and guidance
zbMATH Open document ID: 0631.93047
DOI: 10.1007/BF00939681
author: B. George
published in: Journal of Optimization Theory and Applications
publication date: 1988-01-01T00:00:00Z
review text: This paper is concerned with the optimal transition and the near-optimum guidance of an aircraft from quasi-steady flight to quasi-steady flight in a windshear. The abort landing problem is considered with reference to flight in a vertical plane. In addition to the horizontal shear, the presence of a downcraft is considered. First, trajectory optimization is considered. The optimal transition problem is formulated as a Chebyshev problem of optimal control: the performance index being minimized is the peak value of the modulus of the difference between the instantaneous altitude and a reference value, assumed constant. By suitable transformations, the Chebyshev problem is converted into a Bolza problem. Then, the Bolza problem is solved employing the dual sequential gradient-restoration algorithm (DSGRA) for optimal control problems. Next, trajectory guidance is considered. Two guidance schemes are developed so as to achieve near-optimum transition from quasi-steady descending flight to quasi-steady ascending flight: acceleration guidance (based on the relative acceleration) and gamma guidance (based on the absolute path inclination). The numerical results show that the guidance schemes for quasi-steady flight recovery yield a transition from quasi-steady flight to quasi- steady flight which is close to that of the optimal trajectory, ensures the restoration of the initial quasi-steady state, and has good stability properties.
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 90C52
Mathematics Subject Classification ID: 76F10
Mathematics Subject Classification ID: 65K10
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 4027307
zbMATH Keywords: optimal transition
zbMATH Keywords: near-optimum guidance
zbMATH Keywords: quasi-steady flight
zbMATH Keywords: windshear
zbMATH Keywords: abort landing problem
zbMATH Keywords: trajectory optimization
zbMATH Keywords: Chebyshev problem
zbMATH Keywords: Bolza problem
zbMATH Keywords: dual sequential gradient-restoration algorithm
zbMATH Keywords: trajectory guidance
zbMATH Keywords: acceleration guidance
zbMATH Keywords: gamma guidance
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00939681
OpenAlex ID: W2000809442
description: scientific article; zbMATH DE number 4027307