The length of level lines of solutions of elliptic equations in the plane英文书.pdf

Flight Trajectory Optimization for Modern Jet Passenger Aircraft with Dynamic Programming Navinda Kithmal Wickramasinghe, Akinori Harada, Hironori Totoki, Yuto Miyamoto, and Yoshikazu Miyazawa Abstract Future Air Transportation Systems (ATS) would eventually have to treat the ever increasing demands in aviation industry. Fuel consumption and ?ight time could be signi?cantly reduced by modifying the current sector based system into a more relaxed user priority based ATS. Trajectory Based Operations (TBO) is considered as one of the key technologies in this transition. This paper concentrates on a proposed ?ight trajectory optimization tool based on Dynamic Programming (DP), meteorological data and an aircraft performance model to obtain fuel minimum 4D-optimal ?ight trajectories for a single jet passenger aircraft considering the effect of wind conditions. Major drawbacks such as “Curse of Dimensionality” in DP are overcome with a unique method called “Moving Search space Dynamic Programming (MS-DP)” method. A quantitative evaluation has revealed that an average reduction of 9% in fuel consumption could be achieved with a tradeoff of ?ight time which exceeds at an average of 7% compared to a series of ?ight data measured by a commercial GPS receiver in an airliner cabin. Keywords Aircraft performance optimization ? Flight time ? Fuel consumption 1 Introduction Future Air Transportation Systems (ATS) would eventually have to treat the ever increasing air traf?c, sky-rocketing fuel prices, CO2 emission, noise pollution concerns and economic instability in the aviation industry with effective solutions N.K. Wickramasinghe ( ) ? A. Harada ? H. Totoki ? Y. Miyamoto Graduate School of Engineering, Kyushu University, Fukuoka 819-0395, Japan e-mail: navinda@aero.kyushu-u.ac.jp; a-harada@aero.kyushu-u.ac.jp; totoki@aero.kyushu-u.ac.jp; yuto-m@aero.kyushu-u.ac.jp Y. Miyazawa Department of Aeronautics and Astronautics, Kyushu University, Fukuoka 819-0395, Japan e-mail: miyazawa