An extended model for pairwise conflict resolution in air traffic management
✍ Scribed by John C. Clements; Brian Ingalls
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 153 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0143-2087
No coin nor oath required. For personal study only.
✦ Synopsis
A con#ict resolution model for aircraft traversing planar intersecting trajectories is developed and solved. The model incorporates the #ight dynamics of each aircraft. Three types of optimal con#ict avoidance manoeuvres are examined. The "rst is the minimum-time safe deviation to a designated objective and the second and third are the minimum-time safe deviation to and from a designated ground track. These objectives lead to singular optimal control problems where the control variable constraint is de"ned in terms of the maximum allowable turn rate "u(t)")u + , 0)t)t D , for the aircraft executing the avoidance manoeuvre and the non-autonomous state variable constraint is de"ned in terms of the radius r of the protected zone about the potentially con#icting aircraft. A fast, accurate procedure is derived for computing the optimal steering program which requires the solution of a coupled di!erential-algebraic system of equations to determine the control law on any boundary arc of an extremal trajectory. An example pairwise trajectory con#ict is analysed in detail. The incorporation of variable airspeed v(t) and an acceleration/deceleration control u (t) is also discussed.