Abstract
Control of a flexible launch vehicle in the atmospheric ascent phase is highly challenging as it involves multiple concurrent design requirements. This ranges from reduction of the angle of attack in face of wind, minimum gain-phase and parametric margins as well as flexible modes attenuation. In this work, we discuss recently available non-smooth optimization techniques as a central tool to solve this problem. We consider designing an observer-based controller based on a Kalman filter suitably augmented with Dryden wind dynamics. We suggest a nonconservative approach to handle model uncertainties based upon multiple models of the launcher. This preliminary work aims at testing the potential of non-smooth controller tuning on a generic launcher model. It will serve as a stepping stone for a more in-depth study of the benchmark developed by M. Ganet at Airbus Defence and Space.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Abbas-Turki, M., Duc, G., Clément, B., Theodoulis, S.: Robust gain scheduled control of a space launcher by introducing LQG/LTR ideas in the NCF robust stabilisation problem. In: 46th IEEE Conference on Decision and Control, New Orleans, LA, USA, pp. 2393–2398 (December 2007)
Alazard, D.: Introduction to Kalman filtering. ISAE – Institut Supérieur de l’Aéronautique et de l’Espace (December 2011)
Alazard, D., Imbert, N., Clément, B., Apkarian, P.: Launcher attitude control: some additional design and optimization tools. In: CNES/EADS Conference on Launcher Technology, Madrid (November 2003)
Apkarian, P.: Tuning controllers against multiple design requirements. In: American Control Conference Proceedings, Washington, USA, pp. 3888–3893 (June 2013)
Apkarian, P., Noll, D.: Nonsmooth H ∞ synthesis. IEEE Transactions on Automatic Control 51(1), 71–86 (2006)
Burke, J.V., Henrion, D., Lewis, A.S., Overton, M.L.: HIFOO - a MATLAB package for fixed-order controller design and H ∞ optimization. In: 5th IFAC Symposium on Robust Control Design, Toulouse, France (August 2006)
Doyle, J., Glover, K., Khargonekar, P., Francis, B.A.: State space solutions to standard h2 and H ∞ control problems. IEEE Transactions on Automatic Control 34, 831–847 (1989)
Dryden, H.L., Kuethe, A.M.: Turbulence in wind tunnel measurements. Technical Report 342, National Advisory Commitee for Aeronautics, Washington (August 1929)
Dubanchet, V., Saussié, D., Bérard, C., Saydy, L., Gourdeau, R.: Robust control of a launch vehicle in atmospheric ascent based on guardian maps. In: American Control Conference, ACC 2012, Fairmont Queen Elizabeth, Montréal, Canada, pp. 938–943 (June 2012)
Gahinet, P., Apkarian, P.: A linear matrix inequality approach to H ∞ control. International Journal of Robust and Nonlinear Control 4, 421–448 (1994)
Gahinet, P., Apkarian, P.: Structured H ∞ synthesis in MATLAB. In: Proceedings of the 18th IFAC World Congress, Milan, pp. 1435–1440 (2011)
Ganet-Schoeller, M., Ducamp, M.: LPV control for flexible launcher. In: AIAA Guidance, Navigation, and Control Conference, Toronto, Ontario Canada (July 2010)
Hostetter, G.H., Meditch, J.S.: Brief paper on the generalization of observers to systems with unmeasurable unknown inputs. Automatica 9, 721–724 (1973)
Jacquemin, B., Voiron, T.: La détermination du profil du vent pour les activités spatiales. La Météorologie (33), 45–55 (May 2001)
Jang, J.-W., Alaniz, A., Hall, R., Bedrossian, N., Hall, C., Ryan, S., Jackson, M.: Ares I flight control system design. In: Proceedings of AIAA Guidance, Navigation, and Control Conference (2010)
Keegan, W.B.: Terrestrial environment (climatic) criteria handbook for use in aerospace vehicle development. Technical report (August 2000)
Knoblauch, M., Saussié, D., Bérard, C.: Structured H ∞ control for a launch vehicle. In: American Control Conference, ACC 2012, Fairmont Queen Elizabeth, Montréal, Canada, pp. 967–972 (June 2012)
Radke, A., Gao, Z.: A survey of state and disturbance observers for practitioners. In: American Control Conference, Minnesota, USA (June 2006)
Taylor, G.I.: Statistical theory of turbulence. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 151(873), 444–454 (1935)
Terrell, W.J.: Stability and Stabilization: An Introduction. Cloth (2009)
Vaughan, W.W., Scoggins, J.R., Smith, O.E.: Role of applied meteorology in the development of large space vehicles. Bulletin of American Meteorological Society 44, 157–174 (1963)
Voinot, O., Alazard, D., Piquereau, A.: A robust multi-objective synthesis applied to launcher attitude control. In: 15th IFAC Symposium on Automatic Control in Aerospace (September 2001)
von Kármán, T., Howarth, L.: On the statistical theory of turbulence. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences 164(917), 192–215 (1938)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Chambon, E., Apkarian, P., Burlion, L. (2015). Flexible Launch Vehicle Control Using Robust Observer-Based Controller Obtained through Structured H ∞ Synthesis. In: Bordeneuve-Guibé, J., Drouin, A., Roos, C. (eds) Advances in Aerospace Guidance, Navigation and Control. Springer, Cham. https://doi.org/10.1007/978-3-319-17518-8_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-17518-8_2
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-17517-1
Online ISBN: 978-3-319-17518-8
eBook Packages: EngineeringEngineering (R0)