Optimal Control of Two-Commercial Aircraft Dynamic System During Approach. The Noise Levels Minimization

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 pro- gramming 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.