Abstract
In this paper, we derive a near-optimal guidance law for the ascent trajectory from Earth surface to Earth orbit of a hypersonic, dual-mode propulsion, lifting vehicle. Of interest are both the optimal flight path and the optimal operation of the propulsion system. The guidance law is developed from the energy-state approximation of the equations of motion. The performance objective is a weighted sum of fuel mass and volume, with the weighting factor selected to give minimum gross take-off weight for a specific payload mass and volume.
This is a preview of subscription content, log in via an institution.
Preview
Unable to display preview. Download preview PDF.
References
Petersen, R. H., Gregory, T. J., and Smith C. L.: Some Comparisons of Turboramjet-Powered Hypersonic Aircraft for Cruise and Boost Missions. J. Aircraft, Vol. 3, No. 5, 1966.
Bowles, J. V.: Ames Conceptual Studies Activities. Proceedings of the Second National Aerospace Plane Symposium. Applied Physics Laboratory, Laurel, MD, Nov. 1986.
Bryson, A. E., Jr., Desai, M. N., and Hoffman, W. C.: Energy-State Approximation in Performance Optimization of Supersonic Aircraft. J. Aircraft, Vol. 6, No. 6, 1969.
Kelley, H. J. Cliff, E. M., and Weston, A. R.: Energy State Revisited. Optimal Control Applications and Methods, Vol. 7, April 1986.
Ardema, M. D.: Solution of the Minimum Time-to-Climb Problem by Matched Asymptotic Expansions. AIAA J., Vol. 14, July 1976.
Lee, H.Q. and Erzberger, H.: Algorithm for Fixed-Range Optimal Trajectories. NASA TP-1565, July 1980.
Van Buren, M. A. and Mease, K. D.: Aerospace Plane Guidance Using Geometric Control Theory. Proceedings of the 1990 American Control Conference, May 23–25, 1990, San Diego, CA.
Kelley, H. J.: Aircraft Maneuver Optimization by Reduced-Order Approximation, Control and Dynamic Systems, Vol. 10, edited by C.T. Leondes, Academic Press, New York, 1973.
Ardema, M. D.: An Introduction to Singular Perturbations in Nonlinear Optimal Control. In Singular Perturbations in Systems and Control, edited by M.D. Ardema, Courses and Lectures No. 280, International Center for Mechanical Sciences, Udine, Italy, 1983.
Calise, A. J.: Singular Perturbation Methods for Variational Problems in Aircraft Flight. IEEE Transactions Automatic Control, Vol. AC-21, No. 3, 1976.
Shinar, J.: Remarks on Singular Perturbation Technique Applied in Nonlinear Optimal Control. Proceedings of 2nd IFAC Workshop on Control Applications on Nonlinear Programming and Optimization, 1980.
Weston, A. R., Cliff, E. M., and Kelley, H. J.: Altitude Transitions in Energy Climbs. Automatica, Vol. 19, No. 2, February 1983.
Ardema, M. D. and Yang, L.: Interior Transition Layers in Flight-Path Optimization. J. Guidance, Control, Dynamics, Vol. 11, No. 1, Jan.–Feb. 1988.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1992 Springer-Verlag
About this paper
Cite this paper
Ardema, M.D., Bowles, J.V., Whittaker, T. (1992). Optimal trajectories for hypersonic launch vehicles. In: Skowronski, J.M., Flashner, H., Guttalu, R.S. (eds) Mechanics and Control. Lecture Notes in Control and Information Sciences, vol 170. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0004303
Download citation
DOI: https://doi.org/10.1007/BFb0004303
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54954-3
Online ISBN: 978-3-540-46606-2
eBook Packages: Springer Book Archive