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Hybrid Optimal Control Approach to Commercial Aircraft Trajectory Planning

Given the sequence of phases and flight modes conforming the flight profile of a commercial aircraft, the initial and final states and a set of path constraints, the problem of finding control inputs, switching times between flight modes and the corresponding trajectory of the aircraft that minimizes fuel consumption is solved. The aircraft in flight is modelled as a hybrid dynamical system, i.e., a system that has a continuous and a discrete dynamics, where the distinct discrete dynamics corresponds to different flight phases and switches between them occur either in response to control law or when the state of the system reaches prescribed regions of the state space. The motion of the aircraft is described by a point variable-mass dynamic model. The hybrid optimal control problem is converted into a conventional optimal control problem making the unknown switching instants part of the states. The resulting problem is then solved solved using a collocation method. Results show that current flight profiles efficiency could be substantially improved.
Type of Seminar:
IfA Seminar
Manuel Soler
Department of Statistics & Operations Research Universidad Rey Juan
Mar 24, 2010   11:00

ETL K25, Physikstrasse 3
Contact Person:

Prof. J. Lygeros
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Biographical Sketch:
Manuel Soler is Aeronautics & Astronautics engineer (Universidad Politecnica de Madrid ’ 07). He developed his early professional career in companies of the aeronautical sector. He is currently PhD student at the UPM, involved in the doctorate program Aeronautics and Space Technologies, and teacher assistant and researcher at the Department of Statistics and Operations Research of the Universidad Rey Juan Carlos, in Madrid, Spain. His current research is carried out within the ATLANTIDA research project in collaboration with a wide consortium of companies and research institutions of the aeronautical sector. He is also inolved in the following project: Optimization models in Air Traffic Management: Strategic Planning Within the consolider project Ingenio Mathematica. His research interests focus on hybrid dynamic systems, optimal control theory and commercial aircrafts optimal trajectory planning. Recent publications: ”Hybrid Optimal Control Approach to Commercial Aircraft Trajectory Planning”. Accepted for publication in the Journal of Guidance, Control and Dynamics as an Engineering note; to be published.