Journal ArticleDOI
Fuel optimal trajectory computation
TLDR
In this paper, the shape of the trajectory in the vertical plane is treated, and spline fits to the drag and fuel flow functions are described, and a suboptimal trajectory is found using the maximum principle of optimal control and singular perturbation theory.Abstract:
Roughly a quarter of the total fuel savings of the new generation of large jet transports will come from the capability of computing fuel optimal flight trajectories between departure point and destination. The shape of the trajectory in the vertical plane is treated here. A simplified mathematical model is described including spline fits to the drag and fuel flow functions. A suboptimal trajectory is found using the maximum principle of optimal control and singular perturbation theory. The inner or boundary-layer solutions are identified as the climb or descent segments of the flight, while the outer solution corresponds to cruise. The inner solutions are expanded to second order in the vicinity of the outer solution to develop cruise control laws for cost-effective response to altered in-flight conditions.read more
Citations
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Journal ArticleDOI
Fuel-optimal aircraft trajectories with fixed arrival times
TL;DR: In this paper, the authors show that a fuel-optimal aircraft trajectory which arrives at an assigned time is also a direct operating cost-optimally trajectory for certain time cost.
Journal ArticleDOI
Minimum-Fuel Cruise at Constant Altitude with Fixed Arrival Time
TL;DR: This work analyzes the problem of minimum-fuel cruise at constant altitudewith afixed arrival time as a singular optimal control problem, building upon the works of Pargett and Ardema and Rivas and Valenzuela; the case of unsteady cruise is considered.
Journal ArticleDOI
Optimization of Multiphase Aircraft Trajectories Using Hybrid Optimal Control
Antonio Franco,Damián Rivas +1 more
TL;DR: In this article, an approach to optimize multiphase trajectories of commercial transport aircraft is presented based on the theory of hybrid optimal control, and it is applied to the case of minimum fuel trajectories.
Journal ArticleDOI
Minimum-Cost Cruise at Constant Altitude of Commercial Aircraft Including Wind Effects
Antonio Franco,Damián Rivas +1 more
TL;DR: In this paper, the problem of minimum-cost cruise at constant altitude in the presence of strong winds, including the arrival-error cost, is analyzed, considering the general unsteady problem, with variable aircraft mass, and without any restriction on cruise altitude.
References
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Book
A practical guide to splines
TL;DR: This book presents those parts of the theory which are especially useful in calculations and stresses the representation of splines as linear combinations of B-splines as well as specific approximation methods, interpolation, smoothing and least-squares approximation, the solution of an ordinary differential equation by collocation, curve fitting, and surface fitting.
Proceedings ArticleDOI
Energy-state approximation in performance optimization of supersonic aircraft
TL;DR: Energy state approximation for supersonic aircraft performance optimization with extension to maximum range problems was studied in this paper, where the authors compared the complexity of complex dynamic models with simple dynamic models.
Journal ArticleDOI
Energy-state approximation in performance optimization of supersonicaircraft
Journal ArticleDOI
Aircraft performance optimization.
TL;DR: Using the calculus of variations, the solutions to various fixed end point flight-path optimization problems are developed and the resulting computational algorithms are attractive for both laboratory investigations and airborne implementations.