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

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

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