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A Stochastic Switched Optimal Control Approach to Formation Mission Design for Commercial Aircraft by Cerezo-Magaña, María; Olivares, Alberto; Staffetti, Ernesto is a scholarly article available to read on EtoBox.

What is A Stochastic Switched Optimal Control Approach to Formation Mission Design for Commercial Aircraft about?

This paper studies the formation mission design problem for commercial aircraft in the presence of uncertainties. Specifically, it considers uncertainties in the departure times of the aircraft and in the fuel burn savings for the trailing aircraft. Given several commercial flights, the problem consists in arranging them in formation or solo flights and finding the trajectories that minimize the expected value of the direct operating cost of the flights. The formation mission design problem is formulated as an optimal control problem of a stochastic switched dynamical system and solved using nonintrusive generalized polynomial chaos based stochastic collocation. The stochastic collocation method converts the stochastic switched optimal control problem into an augmented deterministic switched optimal control problem. With this approach, a small number of sample points of the random parameters are used to jointly solve particular instances of the switched optimal control problem. The obtained solutions are then expressed as orthogonal polynomial expansions in terms of the random parameters using these sample points. This technique allows statistical and global sensitivity analysis of

Author

Cerezo-Magaña, María; Olivares, Alberto; Staffetti, Ernesto

Published

2024

Language

EN