Trajectory Optimization of Hypersonic Vehicle Using Gauss Pseudospectral Method

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The paper presents a gauss pseudospectral solution for the trajectory optimization problem of a hypersonic vehicle. Determination of optimal trajectory of a hypersonic vehicle is of great interest due to the different path and boundary conditions that need to be met for high accuracy. Recent researches show that pseudospectral methods are capable of providing high accuracy in computationally efficient manner. The hypersonic vehicle optimized here is accelerated through solid rocket propulsion to mach 3.5 and after ejection of the rocket motor it is accelerated to mach 6 where it starts cruise for reaching target. The flight profile which is divided into boost, ascent, cruise and dive phase is optimized using multi-phase implementation programme of gauss pseudospectral method GPOPS. The optimization is carried out in 2D assuming non-rotating flat earth assumption and considering propulsion, dynamic and atmospheric constraints. The results are then analyzed for max range and max final velocity and hit angle. The results are found to be feasible.

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5232-5239

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October 2011

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[1] Yu Li and Nai-gong Cui, Maximum Cross range for Hypersonic Boost-Glide Missile, 2nd Symposium on Systems and Control in Aerospace and Astronautics, 2008.J. Clerk Maxwell, A Treatise on Electricity and Magnetism, 3rd ed., vol. 2. Oxford: Clarendon, 1892, p.68.

DOI: 10.1109/isscaa.2008.4776361

Google Scholar

[2] ZHOU Hao, CHEN Wan-Chun and YIN Xing-Liang, Multi-phase Trajectory Optimization for a Hypersonic Vehicle, Chinese Journal of Astronautics, Vol. 29, No. 4, July (2008).

Google Scholar

[3] SUN Rui-sheng, XUE Xiao-zhong and SHEN Jian-ping, Trajectory Optimization for a Hypersonic Waverider Missile in Extended Range Period by Means of Optimal Control, Chinese Journal of Ballistics, Vol. 20, No. 4, Dec (2008).

Google Scholar

[4] Ryan P. Starkey, Falcon Rankins and Daryll Pines, Coupled Waverider/Trajectory Optimization for Hypersonic Cruise, 43rd AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, 10-13 January (2005).

DOI: 10.2514/6.2005-530

Google Scholar

[5] Ryan P. Starkey, Falcon Rankins and Daryll Pines, Effects of Hypersonic Cruise Trajectory Optimization Coupled with Airbreathing Vehicle Design, 44th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada, 9-10 January (2006).

DOI: 10.2514/6.2006-337

Google Scholar

[6] Birendra. V, S. Dasgupta and Madan Lal, Trajectory Optimization and Guidance of an Air Breathing Hypersonic Vehicle,. 14th AIAA/AHI Space Planes and Hypersonic Systems and technologies Conference, Canberra, Australia, 6-9 Nov (2006).

DOI: 10.2514/6.2006-7997

Google Scholar

[7] Bing-nan Kang, Shuo Tang and Ryan P. Starkey, Optimal Trajectories of Hypersonic Vehcile for Global Reach, 15th AIAA International Space Planes and Hypersonic Systems and Technologies Conference, Dayton, Ohio, 28 April – 1 May (2008).

DOI: 10.2514/6.2008-2595

Google Scholar

[8] H.M. Prasanna, D. Ghose, M.S. Bhat, C. Bhattacharyya and J. Umakant, Interpolation-Aware Trajectory Optimization for a Hypersonic Vehicle Using Nonlinear Programming, AIAA Guidance, Navigation and Control Conference and Exhibit, San Francisco, California, 15- 18 August (2005).

DOI: 10.2514/6.2005-6063

Google Scholar

[9] Fariba Fahroo and I Michael Ross, Costate Estimation by a Legendre Pseudospectral Method, Journal of Guidance, Control and Dynamics, Vol. 24, No. 2, March-April (2001).

DOI: 10.2514/2.4709

Google Scholar

[10] Rea, J., Launch Vehicle Trajectory Optimization Using a Legendre Pseudospectral Method, AIAA Paper 2003-5640, Aug. (2003).

DOI: 10.2514/6.2003-5640

Google Scholar

[11] Gamal Elnagar, Mohammad A. Kazemi, and Mohsen Razzaghi, The Pseudospectral Legendre Method for Discretizing Optimal Control Problem, IEEE Transactions on Automatic Control, Vol. 40, No. 10, October (1995).

DOI: 10.1109/9.467672

Google Scholar

[12] Rao, A.V., Benson, D., Huntington, G.T., User's Manual for GPOPS, University of Florida, Gainesville, FL 32607, January (2010).

Google Scholar