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Otimização e Controlo de Trajetórias

Código 15260
Ano 2
Semestre S1
Créditos ECTS 6
Carga Horária TP(60H)
Área Científica Aeronáutica e Astronáutica
Mode of delivery Face-to-face.
Work placements There is no work placement.
Learning outcomes To give to the students the necessary skills related to modeling, analysis and design methods that focus on 4D navigation trajectory optimization and control. In that scope, the lectures will deal with methods and examples that are applicable to commercial aircraft, UAVs, missiles and spacecraft.

Syllabus Module I (Models and Processing of Aerospace Trajectories) - Problems related to 4D trajectory optimization and control. Air trajectory models. Space trajectory models. Kalman filtering. 4D trajectory estimation and reconstruction.

Module II (Flight Trajectory Optimization) - Static (parametric) optimization methods and algorithms. Dynamic optimization methods and algorithms (direct methods and indirect methods). 4D trajectory optimization (atmospheric flight and space flight).

Module III (Trajectory Control) - Optimal trajectory control using the LQR method. Trajectory controller design (for commercial aircraft, UAVs, missiles and spacecraft).
Teaching Methodologies and Assessment Criteria METHODOLOGIES:

The methodologies applied (assessment included) comply with the Rectoral Order (R) 28/2006 of 14 September, and the successive amendments introduced by Orders 32-A / 2006 of 30 October, 33/2008 of 1 September, and 31 / R / 2009 of August 4th.

ASSESSMENT CRITERIA

A. LEARNING PHASE
Evaluation 1 (Test & Miniproject): 50%;
Evaluation 2 (Test & Miniproject): 50%;

B. EXAMINATION PHASE: Written examination (100%)

Main Bibliography 1. D. P. Bertsekas. Nonlinear Programming, 2nd Edition. Athena Scientific. 1999.
2. J. T. Betts. “Survey of numerical methods for trajectory optimization,” Journal of Guidance, Control and Dynamics, 21(2), pp. 193-207, 1998.
3. F. Fahroo and I.M. Ross. Direct trajectory optimization by a Chebyshev pseudospectral method, Journal of Guidance, Control and Dynamics, 25(1), pp. 160-166, 2002.
4. F. L. Lewis and V. L. Syrmos, Optimal Control, John Wiley & Sons, 1995.
5. D. McLean. Automatic Flight Control Systems. Prentice Hall, 1990.
6. Research papers on specific and current topics related to trajectory optimization and control (will be made available to the students in due time by the lecturer).
Language Portuguese. Tutorial support is available in English.
Data da última atualização: 2025-09-26
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