Abstract
To improve the survivability during an emergency situation, an algorithm for aircraft forced landing trajectory planning is proposed. The method integrates damaged aircraft modelling and trajectory planning into an optimal control framework. In order to deal with the complex aircraft flight dynamics, a solving strategy based on Gauss pseudospetral method (GPM) is presented. A 3-DOF nonlinear mass-point model taking into account the wind is developed to approximate the aircraft flight dynamics after loss of thrust. The solution minimizes the forced landing duration, with respect to the constraints that translate the changed dynamics, flight envelope limitation and operational safety requirements. The GPM is used to convert the trajectory planning problem to a nonlinear programming problem (NLP), which is solved by sequential quadratic programming algorithm. Simulation results show that the proposed algorithm can generate the minimum-time forced landing trajectory in event of engine-out with high efficiency and precision.
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References
R. Watts, P. Tsiotras, E. Johnson. Pilot feedback for an automated planning aid system in the cockpit. Proceedings of Digital Avionics Systems Conference. Orlando: IEEE, 2009: 1187–1199.
N. Meuleau, C. Plaunt, D. E. Smith, et al. An emergency landing planner for damaged aircraft. Proceedings of the 21st Innovative Applications of Artificial Intelligence Conference. Menlo Park: AAAI, 2009: 114–121.
M. E. Atkins, A. I. Portillo, J. M. Strube. Emergency flight planning applied to total loss of thrust. Journal of Aircraft, 2006, 43(4): 1205–1216.
H. J. Choi, E. M. Atkins. An analytic trajectory planner for aircraft with sever damage or failures. AIAA Infotech@Aerospace Conference and Exhibit and AIAA Unmanned-Unlimited Conference and Exhibi. Seattle: AIAA, 2009: 2009–2018.
P. C. Eng. Path Planning, Guidance and Control for a UAV Forced Landing. Brisbane: Queensland University of Technology, 2011.
A. Adler, A. Bar-Gill, N. Shimkin. Optimal flight paths for engineout emergency landing. Proceedings of the Chinese Control and Decision Conference. Taiyuan: IEEE, 2012: 2908–2915.
P. Williams. Aircraft trajectory planning for terrain following incorporating actuator constraints. Journal of Aircraft, 2005, 42(5): 1358–1362.
Y. Zhao, P. Tsiotras. Analysis of energy-optimal aircraft landing operation trajectory. Journal of Guidance, Control, and Dynamics, 2013, 36(3): 833–845.
M. Houacine, S. Khardi. Gauss pseudospectral method for less noise and fuel consumption from aircraft operations. Journal of Aircraft, 2010, 47(6): 2152–2159.
K. Brinkman, H. G. Visser. Optimal turn-back manoeuvre after engine failure in a single-engine aircraft during climb-out. Journal of Aerospace Engineering, 2007, 221(1): 17–27.
J. Betts. Survey of numerical methods for trajectory optimization. Journal of Guidance, Control, and Dynamics, 1998, 21(2): 193–207.
G. Huntington, V. A. Rao. Optimal reconfiguration of spacecraft formations using the Guass pseudospectral method. Journal of Guidance, Control, and Dynamics, 2008, 31(3): 689–698.
Z. Fang, W. Chen, S. Zhang. Flight Dynamics of Aerial Vehicles. Beijing: Beihang University Press, 2005.
Y. Zhao. Optimal patterns of glider dynamic soaring. Optimal Control Applications and Methods, 2004, 25(2): 67–89.
F. Fahroo, D. Doman. A direct method for approach and landing trajectory reshaping with failure effect estimation. AIAA Guidance, Navigation, and Control Conference. Providence: AIAA, 2004: 200–209.
Y. Li, L. Yang, G. Shen. Safe trajectory optimization with control failure effects estimation. Journal of Beijing University Aeronautic and Astronautics, 2012, 38(12): 1601–1605.
D. A. Benson, G. T. Huntington, T. P. Thorvaldsen, et al. Direct trajectory optimization and costate estimation via an orthogonal collocation method. Journal of Guidance, Control, and Dynamics, 2006, 29(6): 1435–1440.
P. E. Gill, W. Murray, M. A. Saunders. SNOPT: an SQP algorithm for large-scale constrained optimization. SIAM Review, 2005, 47(1): 99–131.
L. T. Biegler, V. M. Zavala. Large-scale nonlinear programming using IPOPT: an integrating framework for enterprise-wide dynamic optimization. Computers & Chemical Engineering, 2009, 33(3): 575–582.
E. Bakolas, Y. Zhao, P. Tsiotras. Initial guess generation for aircraft landing trajectory optimization. AIAA Guidance, Navigation and Control Conference. Portland: AIAA, 2011: 2011–6689.
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This work was supported by the National Key Basic Research Program of China (973 Program) (No. 2011CB707002).
Shaohua MENG is a Ph.D. candidate at School of Aeronautic Science and Engineering, Beihang University, China. He received his B.E. degree from Beihang University in 2008. From 2012 to 2013, He was a visiting student in Politecnico di Milano, Italy. His research interests include aircraft dynamics, trajectory optimization and aviation safety.
Jinwu XIANG received his B.E. and Ph.D. degrees from Nanjing University of Aeronautics and Astronautics in 1980 and 1993, respectively. He is currently a professor at School of Aeronautic Science and Engineering, Beihang University. His area of research includes aircraft flight mechanics, structural dynamics and aeroelasticity.
Zhangping LUO received his B.E. and Ph.D. degrees from Beihang University in 1991 and 2004, respectively. He is currently an associate professor at School of Aeronautic Science and Engineering, Beihang University. His research interests include structural dynamics, crashworthiness, aircraft trajectory optimization and aviation safety.
Yiru REN received his B.E. degree from Harbin Engineering University in 2006 and his Ph.D. degree from Beihang University in 2011. Currently, he is a lecturer at College of Mechanical and Vehicle Engineering, Hunan University, Changsha. His main research interests are crashworthiness and impact dynamics, structural dynamics, structural and multidisciplinary optimization.
Nanjian ZHUANG received his B.E. and Ph.D. degrees from Beihang University in 2008 and 2014, respectively. He is currently a lecturer at College of Air Traffic Management, Civil Aviation University of China, Tianjing. His research interests include aircraft flight mechanics and aviation safety.
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Meng, S., Xiang, J., Luo, Z. et al. A novel trajectory planning strategy for aircraft emergency landing using Gauss pseudospectral method. Control Theory Technol. 12, 393–401 (2014). https://doi.org/10.1007/s11768-014-3162-7
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DOI: https://doi.org/10.1007/s11768-014-3162-7