Optimal control of two-commercial aircraft dynamic system during approach

Fulgence Nahayo (1) , Salah Khardi (2) , Mounir Haddou (3)

1 University of Burundi
2 INRETS/LTE - Laboratoire Transport et Environnement
3 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

This paper aims to reduce noise levels of two-aircraft landing simultaneously on approach. Constraints related to stability, performance and flight safety are taken into account. The problem of optimal control is described and solved by a Sequential Quadratic Programming numerical method 'SQP' when globalized by the trust region method. By using a merit function, a sequential quadratic programming method associated with global trust regions bypasses the non-convex problem. This method used a nonlinear interior point trust region optimization solver under AMPL. Among several possible solutions, it is shown that there is an optimal trajectory leading to a reduction of noise levels on approach.

Mots clés: AVION; BRUIT; TRAJECTOIRE; OPTIMISATION

Domaines: Environnement et Société

Fulgence Nahayo, Salah Khardi, Mounir Haddou. Optimal control of two-commercial aircraft dynamic system during approach. General Mathematics Notes, 2011, 3 (2), pp. 27-49. ⟨hal-00987121⟩