Pontryagin Principle Applied to Commercial Aircrafts Optimal Control Problem under Physical and Energetic Constraints
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Date
2017
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ICSRS Publication
Abstract
The objective of this work is the development of a control and optimization flight paths model minimizing fuel consuption and noise perceived on the
ground for two aircraft when flight constraints are considered. Flight dynamics, combined with the criterion to minimize noise levels generates an optimal
control problem governed by nonlinear di erential equations . This problem is solved using an indirect method applying the minimum principle of Pontryagin and a dynamic programming method. Obtained optimal results showed signi cant reductions of fuel consumption and noise levels. This model shows and con rm environmental Approach impact around airport by reduction of the gene for neighbors due to noise. Reduction of Economic cost to airlines and for builders are also con rmed. An optimal approach path when compared to standard flight path is con rmed.This model can be generalized for any type of aircraft when considering real case for airport traffic and air traffic.
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