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Semi–optimal co–ordinated manoeuvres for aircraft conflict resolution

Published online by Cambridge University Press:  03 February 2016

J. Parastari
Affiliation:
Aerospace Engineering Department, Sharif University of Technology, Tehran, Iran
M. B. Malaek
Affiliation:
Aerospace Engineering Department, Sharif University of Technology, Tehran, Iran

Abstract

In this manuscript, a new concept of 2D-semi-optimal-circular-3-arced-path manoeuvres with constant speed for multiple aircraft cooperative conflict resolution is presented. This type of manoeuvres is based on appropriate commands to heading, speed and manoeuvreing time. According to aircraft turning dynamics, each aircraft manoeuvre is composed of three tangent circular arcs. The optimality of manoeuvres is based on the minimisation of weighted sum of kinetic energy for aircraft two-legged manoeuvres. In comparison, aircraft with lower weight factors bear more responsibility to resolve the conflicts. The effectiveness of the proposed algorithm for real time conflict resolution is guaranteed, where the number of encountering aircraft is less than five. Otherwise, the current method could also be jointed to one of the fast resolution methods, like probabilistic resolution algorithm or genetic algorithm – as a tool to choose the convex domain – to become more computationally effective. Considerable number of case studies has been done to evaluate the effectiveness of the proposed methodology, while some are presented in the paper.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2005 

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References

1. Kuchar, J.K. and Yang, L.C., A review of conflict detection and resolution modeling methods, IEEE transactions on intelligent transportation systems, special issue on air traffic control, part I, 1, (4), pp 179189, 2000.Google Scholar
2. Kuchar, J.K. and Yang, L.C.. Survey of conflict detection and resolution modeling methods, AIAA guidance, navigation, and control conference, New Orleans, LA, USA, 1997.Google Scholar
3. Hu, J., Prandini, M. and Sastry, S., Optimal coordinated manoeuvres for three dimensional aircraft conflict resolution, AIAA paper 2001-4294, 2001.Google Scholar
4. Hu, J., A study of conflict detection and resolution in free flight, M.S. thesis, UC Berkeley, USA, 1999.Google Scholar
5. Frazzoli, E., Mao, Z.-H., Oh, J.-H. and Feron, E.. Resolution of conflicts involving many aircraft via semi definite programming, J guidance, control, and dynamics, 2001, 24, (1), pp 7986.Google Scholar
6. Mondoloni, S. and Conway, S., An airborne conflict resolution approach using a genetic algorithm, AIAA paper 2001-4054, 2001.Google Scholar
7. Tomlin, C., Pappas, G.J. and Sastry, S.. Conflict resolution for air traffic management: a study in multi-agent hybrid systems, IEEE transactions on automatic control, 1998, 43, (4), pp 509521.Google Scholar
8. Malaek, M.B. and Parastari, J.. Zero time delay optimal co-operative tactical manoeuvres for real time conflict resolution in ATM, the world congress aviation in the XXI-st century, Kyiv, Ukraine, UDC 629.735.072.4 (045), 2003.Google Scholar
9. Parastari, J. and Malaek, M.B.. Optimal circular 3-arced with constant speed coordinated manoeuvres for planar multi aircraft conflict resolution, 23rd digital avionics systems conference, Salt Lake city, Utah, USA, October 2004.Google Scholar
10. Scherer, C. and Weiland, S., Linear matrix inequalities in control, ver. 3, Dutch institute of systems and control (DISC), October 2000.Google Scholar
11. The MathWork Inc, Optimisation toolbox, MATLAB, ver. 6.5, release 13, 2002.Google Scholar