Arrival Trajectory Optimization on Noise Impact Using Interval Analysis

The CleanEra project is initiated by the Faculty of Aerospace Engineering at Delft University of Technology. Significant reduction of noise impact on perimeters of airports via arrival trajectory optimization is considered as one of the major targets of the project. In this paper, an aircraft model and its acoustic performance are introduced to assist the development of the optimization tool since the CleaenEra project is still ongoing. Interval analysis is explained in details because interval algebra is employed to deal with real intervals rather than real numbers in the so-called interval-related optimization algorithms. The largest advantage of such algorithms is that they are capable of finding the global optimum out of the multiple local minima to a given optimization problem. Two numerical examples are presented to show the usefulness of such algorithms while solving both static and dynamic optimization problems. In the end, a third example is given to demonstrate the applicability of the proposed optimization tool to trajectory optimization for arriving passenger aircraft