Optimal Control Based Vertical Trajectory Determination for Continuous Descent Arrival Procedures

Continuous descent arrival (CDA) procedures provide time and fuel savings, and reduce the noise impact of aircraft operations near airports. To date, these procedures have been designed to limit the performance envelopes to achieve trajectory commonality. In this paper, the performance bounds of CDA procedure via multiphase optimal vertical trajectory generation problems with respect to two performance indices—flight time and fuel consumption—have been investigated. The optimal CDA vertical profile is first divided into two segments: the cruise segment before the top of descent (TOD) and the descent segment from the TOD. Then, the second segment is further subdivided based on flap setting and speed constraints. Finally, the resulting multiphase optimal control problem is solved using a pseudospectral method. Two different types of aircraft, B737-500 (light) and B767-400 (heavy), are used in a numerical study, and the optimal CDA trajectories of the two types are compared with a typical vertical navigation...

[1]  John-Paul Clarke,et al.  Continuous Descent Approach: Design and Flight Test for Louisville International Airport , 2004 .

[2]  A. Chakravarty,et al.  Four-dimensional fuel-optimal guidance in the presence of winds , 1985 .

[3]  William W. Hager,et al.  A unified framework for the numerical solution of optimal control problems using pseudospectral methods , 2010, Autom..

[4]  J. W. Burrows.  Fuel-optimal aircraft trajectories with fixed arrival times , 1981 .

[5]  H. Erzberger,et al.  Constrained optimum trajectories with specified range , 1980 .

[6]  John-Paul Clarke,et al.  Vertical Trajectory Optimization for Continuous Descent Arrival Procedure , 2012 .

[7]  John-Paul Clarke,et al.  Separation Analysis Methodology for Designing Area Navigation Arrival Procedures , 2007 .

[8]  John-Paul Clarke,et al.  Advanced Noise Abatement Approach Activities at a Regional UK Airport , 2007 .

[9]  John-Paul Clarke.  Systems Analysis of Noise Abatement Procedures Enabled by Advanced Flight Guidance Technology , 2000 .

[10]  Michael A. Saunders,et al.  SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization , 2002, SIAM J. Optim..

[11]  John-Paul Clarke,et al.  Methodology for Optimizing Parameters of Noise-Abatement Approach Procedures , 2007 .

[12]  John-Paul Clarke,et al.  Flight-Test Evaluation of the Tool for Analysis of Separation and Throughput , 2008 .

[13]  Alessandro Gardi,et al.  Multi-objective optimisation of aircraft flight trajectories in the ATM and avionics context , 2016 .

[14]  Hendrikus G. Visser,et al.  Optimisation of noise abatement arrival trajectories , 2003 .

[15]  Anil V. Rao,et al.  Algorithm 902: GPOPS, A MATLAB software for solving multiple-phase optimal control problems using the gauss pseudospectral method , 2010, TOMS.

[16]  Yiyuan Zhao,et al.  Capture conditions for merging trajectory segments to model realistic aircraft descents , 1996 .

[17]  I. Michael Ross,et al.  Direct Trajectory Optimization by a Chebyshev Pseudospectral Method ; Journal of Guidance, Control, and Dynamics, v. 25, 2002 ; pp. 160-166 , 2002 .

[18]  Yiyuan Zhao,et al.  Trajectory Synthesis for Air Traffic Automation , 1997 .

[19]  J. Sørensen,et al.  Airborne Method to Minimize Fuel with Fixed Time-of-Arrival Constraints , 1981 .

[20]  John-Paul Clarke,et al.  Workstation Based Fast-Time Aircraft Simulator for Noise Abatement Approach Procedure Study , 2004 .