Optimal control of two-commercial aircraft dynamic system during approach

Abstract : 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.
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General Mathematics Notes, 2011, 3 (2), pp. 27-49
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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〉

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