FR3040785B1 - Optimisation de la trajectoire de vol par programmation non lineaire - Google Patents

Optimisation de la trajectoire de vol par programmation non lineaire Download PDF

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Publication number
FR3040785B1
FR3040785B1 FR1658136A FR1658136A FR3040785B1 FR 3040785 B1 FR3040785 B1 FR 3040785B1 FR 1658136 A FR1658136 A FR 1658136A FR 1658136 A FR1658136 A FR 1658136A FR 3040785 B1 FR3040785 B1 FR 3040785B1
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engine
combination
model
representation
aircraft
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FR3040785A1 (fr
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Reza Ghaemi
Eric Richard Westervelt
Mark Darnell
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General Electric Co
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General Electric Co
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    • G—PHYSICS
    • G05—CONTROLLING; REGULATING
    • G05D—SYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D1/00—Control of position, course, altitude or attitude of land, water, air or space vehicles, e.g. using automatic pilots
    • G05D1/10—Simultaneous control of position or course in three dimensions
    • G05D1/101—Simultaneous control of position or course in three dimensions specially adapted for aircraft
    • G—PHYSICS
    • G08—SIGNALLING
    • G08G—TRAFFIC CONTROL SYSTEMS
    • G08G5/00—Traffic control systems for aircraft, e.g. air-traffic control [ATC]
    • G08G5/0095—Aspects of air-traffic control not provided for in the other subgroups of this main group
    • G—PHYSICS
    • G08—SIGNALLING
    • G08G—TRAFFIC CONTROL SYSTEMS
    • G08G5/00—Traffic control systems for aircraft, e.g. air-traffic control [ATC]
    • G08G5/003—Flight plan management
    • G08G5/0034—Assembly of a flight plan
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01C—MEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00—Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/20—Instruments for performing navigational calculations
    • G—PHYSICS
    • G05—CONTROLLING; REGULATING
    • G05B—CONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B13/00—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion
    • G05B13/02—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric
    • G05B13/04—Adaptive control systems, i.e. systems automatically adjusting themselves to have a performance which is optimum according to some preassigned criterion electric involving the use of models or simulators
    • G—PHYSICS
    • G05—CONTROLLING; REGULATING
    • G05D—SYSTEMS FOR CONTROLLING OR REGULATING NON-ELECTRIC VARIABLES
    • G05D1/00—Control of position, course, altitude or attitude of land, water, air or space vehicles, e.g. using automatic pilots
    • G05D1/0005—Control of position, course, altitude or attitude of land, water, air or space vehicles, e.g. using automatic pilots with arrangements to save energy
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10—Complex mathematical operations
    • G06F17/11—Complex mathematical operations for solving equations, e.g. nonlinear equations, general mathematical optimization problems
    • G06F17/13—Differential equations
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G06F30/15—Vehicle, aircraft or watercraft design
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation

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  • Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Aviation & Aerospace Engineering (AREA)
  • Mathematical Physics (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Automation & Control Theory (AREA)
  • Pure & Applied Mathematics (AREA)
  • Mathematical Optimization (AREA)
  • Computational Mathematics (AREA)
  • Mathematical Analysis (AREA)
  • Theoretical Computer Science (AREA)
  • Data Mining & Analysis (AREA)
  • Software Systems (AREA)
  • Databases & Information Systems (AREA)
  • General Engineering & Computer Science (AREA)
  • Algebra (AREA)
  • Operations Research (AREA)
  • Evolutionary Computation (AREA)
  • Computer Vision & Pattern Recognition (AREA)
  • Artificial Intelligence (AREA)
  • Medical Informatics (AREA)
  • Health & Medical Sciences (AREA)
  • Traffic Control Systems (AREA)
  • Navigation (AREA)
  • Feedback Control In General (AREA)
  • Combined Controls Of Internal Combustion Engines (AREA)
  • Control Of Position, Course, Altitude, Or Attitude Of Moving Bodies (AREA)

Abstract

Procédé (200), support et système pour recevoir une représentation, par un modèle mathématique, de caractéristiques de fonctionnement pour une combinaison d'un aéronef et d'un moteur ; effectuer sur la représentation par un modèle mathématique une réduction d'ordre du modèle par projection ; éliminer, d'après le modèle projeté, des composantes de dynamique rapide de la représentation par modèle mathématique ; déterminer un modèle à ordre réduit, sous la forme d'une équation algébrique différentielle dans laquelle des équations algébriques remplacent la dynamique rapide ; établir un angle de trajectoire de vol et un angle de manette des gaz comme commande pour limiter fortement la consommation de carburant pour la combinaison d'un aéronef et d'un moteur modélisés ; discrétiser des équations de mouvement pour la combinaison d'un aéronef et d'un moteur modélisés et formuler des équations d'optimisation sous la forme d'un problème de programmation non linéaire ; et déterminer une commande optimale en boucle ouverte qui limite fortement la consommation de carburant pour la combinaison d'un aéronef et d'un moteur modélisés afin de monter jusqu'à atteindre une altitude et une vitesse propre prescrites.
FR1658136A 2015-09-03 2016-09-01 Optimisation de la trajectoire de vol par programmation non lineaire Active FR3040785B1 (fr)

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US14/844,892 US9564056B1 (en) 2015-09-03 2015-09-03 Flight path optimization using nonlinear programming
US14/844.892 2015-09-03

Publications (2)

Publication Number Publication Date
FR3040785A1 FR3040785A1 (fr) 2017-03-10
FR3040785B1 true FR3040785B1 (fr) 2019-12-20

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FR1658136A Active FR3040785B1 (fr) 2015-09-03 2016-09-01 Optimisation de la trajectoire de vol par programmation non lineaire

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US (1) US9564056B1 (fr)
JP (1) JP6212610B2 (fr)
CN (1) CN106502263B (fr)
BR (1) BR102016020326A2 (fr)
CA (1) CA2940044C (fr)
FR (1) FR3040785B1 (fr)
GB (1) GB2543902B (fr)

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Also Published As

Publication number Publication date
CN106502263A (zh) 2017-03-15
CA2940044A1 (fr) 2017-03-03
GB2543902B (en) 2018-02-28
US9564056B1 (en) 2017-02-07
JP6212610B2 (ja) 2017-10-11
CA2940044C (fr) 2018-10-09
CN106502263B (zh) 2020-01-10
BR102016020326A2 (pt) 2017-03-07
FR3040785A1 (fr) 2017-03-10
JP2017074940A (ja) 2017-04-20
GB2543902A (en) 2017-05-03
GB201614691D0 (en) 2016-10-12

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