Framework for Aircraft Trajectory Planning Toward an Efficient Air Traffic Management

Soler, Manuel; Olivares, Alberto; Staffetti, Ernesto; Zapata, Daniel

doi:10.2514/1.c031490

Cited by 47 publications

(26 citation statements)

References 14 publications

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“…For instance, Hermite-Legendre-Gauss-Lobatto collocation methods have been used to solve commercial aircraft trajectory planning problems [8,9,10,11]. Also, recent advances have been made in pseudospectral collocation methods [12,13].…”

Section: Introductionmentioning

confidence: 99%

A Comparison of Optimal Control Methods for Minimum Fuel Cruise at Constant Altitude and Course with Fixed Arrival Time

García-Heras

Soler

Sáez

2014

Procedia Engineering

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The current lack of efficiency in the use of airspace, enforced by the economic crisis an the increasing competitiveness among air transport companies are drivers for a renewed interest for the application of optimization techniques to find answers to overcame current inefficiencies.The main objective of the present paper is to assess and compare different optimal aircraft trajectories techniques applied to the minimum fuel cruise problem at constant altitude and course with fixed arrival time, International Standard Atmosphere and without wind. Four trajectory optimization methods have been used: Hermite-Simpson , 5th degree Gauss-Lobatto and Radau pseudospectral collocation methods and the singular arc solution.Hermite-Simpson and 5th degree methods have been programmed in Ampl modeling language with an IPOPT solver and Radau pseudospectral method using gpops matlab tool with SNOPT solver. 5th degree Gauss-Lobatto collocation method gives the less fuel consumption solution followed by Radau pseudospectral, Hermite-Simpson and singular arc. In considering the program execution time, Hermite-Simpson collocation method is the fastest method followed by 5th degree and Radau pseudospectral. Also, taking into account the time for developing the program code the Radau pseudospectral is the most user friendly. Moreover, it has been observed that increasing the sample points in the HermiteSimpson and 5th degree, the solution converge to the minimum fuel consumption solution. On the other hand, gpops does not show much sensitivity to the number of sample points.

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Section: Introductionmentioning

confidence: 99%

A Comparison of Optimal Control Methods for Minimum Fuel Cruise at Constant Altitude and Course with Fixed Arrival Time

García-Heras

Soler

Sáez

2014

Procedia Engineering

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“…The hierarchical hybrid optimal control approach of [8] was applied to single aircraft trajectory planning with accurate nonlinear dynamics and airspace constraints [13]. Inspired by the improvements in 4D trajectory planning and fuel consumption through including accurate aircraft dynamics, here we extend our previous work in [22], [23], [8], [13] to develop a hybrid optimal control framework for aircraft conflict avoidance and hazardous weather avoidance.…”

Section: Introductionmentioning

confidence: 98%

“…In [22], [23], the multiphase optimal control was formulated for civilian aircraft trajectory optimization, taking into account accurate nonlinear dynamics. It was shown that the fuel consumption could be significantly reduced.…”

Section: Introductionmentioning

confidence: 99%

Multiphase mixed-integer optimal control framework for aircraft conflict avoidance

Soler¹,

Kamgarpour

Tomlin

et al. 2012

2012 IEEE 51st IEEE Conference on Decision and Control (CDC)

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This paper formulates the problem of aircraft conflict avoidance as a multiphase mixed-integer optimal control problem. In order to find optimal maneuvers, accurate models of aircraft nonlinear dynamics and flight envelop constraints are used. Wind forecast and obstacles in airspace due to hazardous weather are included. The objective is to design aircraft maneuvers that ensure safety while minimizing fuel consumption. The solution approach is based on conversion of the multiphase mixed-integer optimal control problem into a mixed-integer nonlinear programming problem. Two case studies for the Airbus 320 aircraft illustrate the approach.

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“…Hence, in order to control such systems one needs a switching schedule along with a control input to be applied. Examples of switching systems can be found in dynamical systems in different fields, from aerospace to chemical engineering [1][2][3][4][5]. There are a few developments in this area [6][7][8][9][10][11][12][13][14][15], however, still there are many open issues even for the case of linear subsystems with a quadratic cost functions [7,16].…”

Section: Introductionmentioning

confidence: 99%

Optimal switching between controlled subsystems with free mode sequence

Heydari

Balakrishnan

2015

Neurocomputing

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Framework for Aircraft Trajectory Planning Toward an Efficient Air Traffic Management

Cited by 47 publications

References 14 publications

A Comparison of Optimal Control Methods for Minimum Fuel Cruise at Constant Altitude and Course with Fixed Arrival Time

A Comparison of Optimal Control Methods for Minimum Fuel Cruise at Constant Altitude and Course with Fixed Arrival Time

Multiphase mixed-integer optimal control framework for aircraft conflict avoidance

Optimal switching between controlled subsystems with free mode sequence

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