The Trust Region Sequential Quadratic Programming method applied to two-aircraft acoustic optimal control problem

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

1 IFSTTAR/LTE - Laboratoire Transport et Environnement
2 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 ight 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; SECURITE

Domaines: Environnement et Société; Santé

Salah Khardi, Fulgence Nahayo, Mounir Haddou. The Trust Region Sequential Quadratic Programming method applied to two-aircraft acoustic optimal control problem. Applied Mathematical Sciences, 2011, 5 (40), pp. 1953-1976. ⟨hal-00987712⟩