Collision Avoidance for an Aircraft in Abort Landing: Trajectory Optimization and Guidance

Journal of Optimization Theory and Applications

Volumn 146, Issue 2, 2010, Pages 233-254

  Miele, A ^a   Wang, T ^a   Mathwig, J A ^b   Ciarcia M ^c  

^a RICE UNIVERSITY   (United States)

^b PROS Revenue Management   (United States)

^c UNIVERSITY OF PALERMO   (Italy)

Author keywords

Abort landing; Aerospace engineering; Collision avoidance; Guidance; Optimal control

Indexed keywords

AIR NAVIGATION; AIRCRAFT; AIRCRAFT CONTROL; ANGLE OF ATTACK; COLLISION AVOIDANCE; REAL TIME CONTROL; RECOVERY;

ABORT LANDING; ANGLE-OF-ATTACK; CHEBYSHEV; COLLISIONS AVOIDANCE; GUIDANCE; MAXIMIN; MINIMUMS DISTANCE; OPTIMAL CONTROLS; OPTIMAL TRAJECTORIES; SUB-ARC;

AIRCRAFT ACCIDENTS;

EID: 77956009938     PISSN: 00223239     EISSN: 15732878     Source Type: Journal    
DOI: 10.1007/s10957-010-9669-2     Document Type: Article

References (23)

1. Miele, A., Wang, T., Mathwig, J. A.: Optimal collision avoidance trajectory for an aircraft in abort landing. Rice University, Aero-Astronautics Report No. 353 (2005).
2. Miele, A., Wang, T., Mathwig, J. A.: Guidance scheme approximating the optimal collision avoidance trajectory for an aircraft in abort landing. Rice University, Aero-Astronautics Report No. 354 (2005).
3. Miele, A., Ciarcià, M.: Time-explicit cubic guidance scheme for an aircraft in abort landing. Rice University, Aero-Astronautics Report No. 366 (2009).
4. Raghunathan, A. U., Gopal, V., Subramanian, D., Biegler, L. T., Samad, T.: Dynamic optimization strategies for three-dimensional conflict resolution of multiple aircraft. J. Guid. Control Dyn. 27(4), 586-594 (2004).
5. Hu, J., Prandini, M., Sastry, S.: Optimal coordinated maneuvers for three-dimensional aircraft conflict resolution. J. Guid. Control Dyn. 25(5), 888-900 (2002).
6. Frazzoli, E., Mao, Z. H., Oh, J. H., Feron, E.: Resolution of conflicts involving many aircraft via semidefinite programming. J. Guid. Control Dyn. 24(1), 79-86 (2001).
7. Menon, P. K., Sweriduk, G. D., Sridhar, B.: Optimal strategies for free-flight air traffic conflict resolution. J. Guid. Control Dyn. 22(2), 202-211 (1999).
8. Clements, J. C.: The optimal control of collision-avoidance trajectories in air-traffic management. Transp. Res. B 33(4), 265-280 (1999).
9. Kuo, V. H., Zhao, Y. J.: Required ranges for conflict resolutions in air traffic management. J. Guid. Control Dyn. 24(2), 237-245 (2001).
10. Tornapolskaya, T., Fulton, N.: Optimal cooperative collision avoidance strategies for coplanar encounter: Merz solution revisited. J. Optim. Theory Appl. 140(2), 355-375 (2009).
11. Tornapolskaya, T., Fulton, N.: Synthesis of optimal control for cooperative collision avoidance for aircraft (ships) with unequal turn capabilities. J. Optim. Theory Appl. 144(2) (2010).
12. Miele, A., Wang, T.: Multiple-subarc sequential gradient-restoration algorithm, Part 1: Algorithm structure. J. Optim. Theory Appl. 116(1), 1-17 (2003).
13. Miele, A., Wang, T.: Multiple-subarc sequential gradient-restoration algorithm, Part 2: Application to a multistage launch vehicle design. J. Optim. Theory Appl. 116(1), 19-39 (2003).
14. Miele, A., Wang, T.: Maximin approach to the ship collision avoidance problem via multiple-subarc sequential gradient-restoration algorithm. J. Optim. Theory Appl. 124(1), 29-53 (2005).
15. Miele, A., Wang, T.: Fundamental properties of optimal orbital transfer. Paper IAC-03-A. 7. 02, 54th International Astronautical Congress, Bremen, Germany (2003).
16. Miele, A., Wang, T., Williams, P. N.: On feasibility of launch vehicle designs. Appl. Math. Comput. 164(2), 295-312 (2005).
17. Miele, A., Wang, T., Melvin, W. W.: Optimization and acceleration guidance of flight trajectories in a windshear. J. Guid. Control Dyn. 10(4), 368-377 (1987).
18. Miele, A., Wang, T., Melvin, W. W., Bowles, R. L.: Gamma guidance schemes for flight in a windshear. J. Guid. Control Dyn. 11(4), 320-327 (1988).
19. Miele, A., Wang, T., Melvin, W. W.: Penetration landing guidance trajectories in the presence of windshear. J. Guid. Control Dyn. 12(6), 806-814 (1989).
20. Miele, A., Wang, T., Melvin, W. W., Bowles, R. L.: Acceleration, gamma, and theta guidance for abort landing in a windshear. J. Guid. Control Dyn. 12(6), 815-821 (1989).
21. Pontani, M.: Differential games treated by a gradient-restoration approach. In: Buttazzo, G., Frediani, A. (eds.) Variational Analysis and Aerospace Engineering, pp. 379-396. Springer, New York (2009). Chap. 21.
22. Miele, A., Wang, T., Ciarcià, M.: Optimal collision avoidance trajectory for an aircraft in takeoff. Aero-Astronautics Report 351, Rice University (2005).
23. Miele, A., Wang, T., Ciarcià, M.: Guidance scheme approximating the optimal collision avoidance trajectory for an aircraft in takeoff. Aero-Astronautics Report 352, Rice University (2005).