Viability analysis of an aircraft flight domain for take-off in a windshear

Authors:
N. Seube;R. Moitie;G. Leitmann
Affiliations:
Ecole Nationale Supérieure des Ingénieurs des Etudes et Techniques d'Armement 29806 Brest Cedex, France;Ecole Nationale Supérieure des Ingénieurs des Etudes et Techniques d'Armement 29806 Brest Cedex, France;College of Engineering University of California Berkeley, CA 94720, U.S.A.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2002

Citing 3
Cited 2

Guidance strategies for near-optimum take-off performance in a windshear

Journal of Optimization Theory and Applications
Aircraft control for flight in an uncertain environment: takeoff in windshear

Journal of Optimization Theory and Applications
Control of uncertain systems under bounded chattering

Dynamics and Control

Optimal disturbance rejection with zero steady-state error for time-delay large-scale systems with persistent disturbances

CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
On reachability and minimum cost optimal control

Automatica (Journal of IFAC)

Quantified Score

Hi-index	0.98

Visualization

Abstract

This paper is devoted to the analysis of aircraft dynamics during take-off in the presence of windshear. We formulate the take-off problem as a differential game against nature. Here, the first player is the relative angle of attack of the aircraft (considered as the control variable), and the second player is the disturbance caused by a windshear. We impose state constraints (called viability constraints) on the game, namely minimum altitude constraints, which guarantee aircraft survival when encountering a windshear with given maximum intensity. By using viability theory, we address the question of existence of an open loop control assuring a viable trajectory (i.e., satisfying the state constraints) no matter what the disturbance is, i.e., for all bounded disturbances. Through numerical simulations of the viability kernel algorithm, we demonstrate the capabilities of this approach for determining safe flight domains of an aircraft during take-off within windshears.