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Editorial Optimal Control Techniques in Aircraft Guidance and Control Ernesto Staffetti , 1 Xiang Li , 2 Yoshinori Matsuno , 3 and Manuel Soler 4 1 University Rey Juan Carlos, Madrid, Spain 2 Beijing Institute of Technology, Beijing, China 3 Japan Aerospace Exploration Agency, Tokyo, Japan 4 University Carlos III of Madrid, Madrid, Spain Correspondence should be addressed to Ernesto Staetti; ernesto.sta[email protected] Received 23 May 2019; Accepted 27 June 2019; Published 5 August 2019 Copyright © 2019 Ernesto Staetti et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Optimal control is a branch of mathematics that deals with analytical and numerical methods to design control strategies for dynamical systems in which some measures of perfor- mance are optimised. Applications of optimal control in aeronautical engineer- ing include aircraft guidance and control. Aircraft guidance refers to the determination of the trajectory to steer the air- craft between two dierent states. Techniques for aircraft guidance are in general open loop. Aircraft control refers to the determination of the control inputs to follow the planned trajectories while maintaining aircraft stability and smooth manoeuvring. In this case, closed-loop control techniques must be employed. Although optimal control has been applied in aeronau- tical engineering for several decades, the continuous tech- nological development in this eld is resulting in leading to optimal control models of increasing size and complex- ity. As a consequence, and despite the progress in the development of numerical solution methods, the increasing size and complexity of the problems generates a constant demand for faster and more ecient methods to solve opti- mal control problem. Among the most demanding problems from the compu- tational point of view are the stochastic optimal control problems, in which uncertainties are taken into account and the obtained solution must full probabilistic constraints. The purpose of this special issue is to bring recognition to the contribution of optimal control techniques to aircraft guidance and control and to provide a forum to disseminate the latest research work with the aim of further stimulating interest in this area of great potential. The special issue includes several high-quality papers written by leading and emerging specialists in the eld. 14 submissions have been received. After a rigorous refereeing process, 5 papers have been accepted for publica- tion in this special issue. A short description of the addressed topics is presented. In Ecient Convex Optimization of Reentry Trajectory via the Chebyshev Pseudospectral Methodby C.-M. Yu et al., optimal control techniques based on the Chebyshev pseudospectral method and on a novel sequential convex optimisation scheme have been applied to solve the hyper- sonic reentry trajectory optimisation problem. In Analyzing the Departure Runway Capacity Eects of Integrating Optimized Continuous Climb Operationsby M. V. Díaz et al., optimal control techniques based on the Chebyshev pseudospectral method have been applied to study the eects of the introduction of continuous climb operations on runway capacity. In Characterization and Enhancement of Flight Plan- ning Predictability under Wind Uncertaintyby J. García- Heras et al., potential enhancements in ight planning predictability due to the eects of wind uncertainty are analyzed using a robust optimal control methodology. In this work, wind uncertainty is retrieved out of ensemble probabilistic forecasts. In Evasion-Pursuit Strategy against Defended Aircraft Based on Dierential Game Theoryby Q. Sun et al., an Hindawi International Journal of Aerospace Engineering Volume 2019, Article ID 3026083, 2 pages https://doi.org/10.1155/2019/3026083

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EditorialOptimal Control Techniques in Aircraft Guidance and Control

Ernesto Staffetti ,1 Xiang Li ,2 Yoshinori Matsuno ,3 and Manuel Soler 4

1University Rey Juan Carlos, Madrid, Spain2Beijing Institute of Technology, Beijing, China3Japan Aerospace Exploration Agency, Tokyo, Japan4University Carlos III of Madrid, Madrid, Spain

Correspondence should be addressed to Ernesto Staffetti; [email protected]

Received 23 May 2019; Accepted 27 June 2019; Published 5 August 2019

Copyright © 2019 Ernesto Staffetti et al. This is an open access article distributed under the Creative Commons Attribution License,which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Optimal control is a branch of mathematics that deals withanalytical and numerical methods to design control strategiesfor dynamical systems in which some measures of perfor-mance are optimised.

Applications of optimal control in aeronautical engineer-ing include aircraft guidance and control. Aircraft guidancerefers to the determination of the trajectory to steer the air-craft between two different states. Techniques for aircraftguidance are in general open loop. Aircraft control refers tothe determination of the control inputs to follow the plannedtrajectories while maintaining aircraft stability and smoothmanoeuvring. In this case, closed-loop control techniquesmust be employed.

Although optimal control has been applied in aeronau-tical engineering for several decades, the continuous tech-nological development in this field is resulting in leadingto optimal control models of increasing size and complex-ity. As a consequence, and despite the progress in thedevelopment of numerical solution methods, the increasingsize and complexity of the problems generates a constantdemand for faster and more efficient methods to solve opti-mal control problem.

Among the most demanding problems from the compu-tational point of view are the stochastic optimal controlproblems, in which uncertainties are taken into account andthe obtained solution must fulfil probabilistic constraints.

The purpose of this special issue is to bring recognition tothe contribution of optimal control techniques to aircraftguidance and control and to provide a forum to disseminate

the latest research work with the aim of further stimulatinginterest in this area of great potential.

The special issue includes several high-quality paperswritten by leading and emerging specialists in the field.

14 submissions have been received. After a rigorousrefereeing process, 5 papers have been accepted for publica-tion in this special issue.

A short description of the addressed topics is presented.In “Efficient Convex Optimization of Reentry Trajectory

via the Chebyshev Pseudospectral Method” by C.-M. Yuet al., optimal control techniques based on the Chebyshevpseudospectral method and on a novel sequential convexoptimisation scheme have been applied to solve the hyper-sonic reentry trajectory optimisation problem.

In “Analyzing the Departure Runway Capacity Effects ofIntegrating Optimized Continuous Climb Operations” byM. V. Díaz et al., optimal control techniques based on theChebyshev pseudospectral method have been applied tostudy the effects of the introduction of continuous climboperations on runway capacity.

In “Characterization and Enhancement of Flight Plan-ning Predictability under Wind Uncertainty” by J. García-Heras et al., potential enhancements in flight planningpredictability due to the effects of wind uncertainty areanalyzed using a robust optimal control methodology. Inthis work, wind uncertainty is retrieved out of ensembleprobabilistic forecasts.

In “Evasion-Pursuit Strategy against Defended AircraftBased on Differential Game Theory” by Q. Sun et al., an

HindawiInternational Journal of Aerospace EngineeringVolume 2019, Article ID 3026083, 2 pageshttps://doi.org/10.1155/2019/3026083

Page 2: Editorial Optimal Control Techniques in Aircraft Guidance ...downloads.hindawi.com/journals/ijae/2019/3026083.pdf · Editorial Optimal Control Techniques in Aircraft Guidance and

optimal guidance law based on differential game theory isderived for the attacker in an active defence scenario, inwhich the attacker evades from the defender and pursuesthe target.

In “Cooperative Guidance of Seeker-Less Missiles forPrecise Hit” by J. Zhao and F. Xiong, linear-quadratic opti-mal control and biased proportional navigation guidanceare employed to develop a two-stage cooperative guidancelaw for fire-and-forget attacks for seeker-less missiles.

Conflicts of Interest

We declare that none of the authors of the editorial have aconflict of interest.

Ernesto StaffettiXiang Li

Yoshinori MatsunoManuel Soler

2 International Journal of Aerospace Engineering

Page 3: Editorial Optimal Control Techniques in Aircraft Guidance ...downloads.hindawi.com/journals/ijae/2019/3026083.pdf · Editorial Optimal Control Techniques in Aircraft Guidance and

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