Analytic Approach and Landing Guidance through a Novel Time-Varying Sliding Mode Control Method
Publication: Journal of Aerospace Engineering
Volume 29, Issue 4
Abstract
In this paper, a nonlinear guidance law is developed for the approach and landing (A&L) phase of a reusable launch vehicle (RLV). First, a novel time-varying sliding mode control (TVSMC) technique is introduced. The main feature of this technique is that it enables the system states to converge to zero at the desired finite time. Then, the developed technique is applied to the A&L guidance law design. The guidance law possesses the capability of generating trajectories online according to the current system states and the terminal constraints. Therefore, there is no need to design any reference trajectories in advance. In addition, the analytic solutions of the altitude and flight path angle can be obtained in advance by solving a first-order linear differential equation. These analytic solutions can also be used to estimate the boundary of the normal load factor of the RLV. The effectiveness of the proposed guidance strategy and the accuracy of the analytic solutions are demonstrated through numerical simulations.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
This study was cosupported by National Science Foundation of China (No. 11402020, 11372034).
References
Bartoszewicz, A. (1995). “A comment on ‘A time-varying sliding surface for fast and robust tracking control of second-order uncertain systems’.” Automatica, 31(12), 1893–1895.
Bartoszewicz, A. (1996). “Time-varying sliding modes for second-order systems.” IEE Proc. Control Theory Appl., 143(5), 455–462.
Cloutier, J. R. (1997). “State-dependent Riccati equation techniques: An overview.” Proc., American Control Conf., IEEE, Albuquerque, NM, 932–936.
Cong, B., Liu, X., and Chen, Z. (2010). “Exponential time-varying sliding mode control for large angle attitude maneuver of rigid spacecraft.” Chin. J. Aeronaut., 23(4), 447–453.
Hanson, J. M. (2002). “A plan for advanced guidance and control technology for 2nd generation reusable launch vehicles.” Proc., AIAA Guidance, Navigation, and Control Conf. and Exhibit, AIAA, Monterey, CA, 1–9.
Harl, N., and Balakrishnan, S. N. (2010). “Reentry terminal guidance through sliding mode control.” J. Guid. Control Dyn., 33(1), 186–199.
Heydari, A., and Balakrishnan, S. N. (2013). “Path planning using a novel finite horizon suboptimal controller.” J. Guid. Control Dyn., 36(4), 1210–1214.
Jin, Y., Liu, X., Qiu, W., and Hou, C. (2010). “Time-varying sliding mode control for a class of uncertain MIMO nonlinear system subject to control input constraint.” Sci. China Inf. Sci., 53(1), 89–100.
Kim, J., Lee, J., Park, K., and Youn, M. (1993). “Design of new time-varying sliding surface for robot manipulator using variable structure controller.” Electron. Lett., 29(2), 195–196.
Kluever, C. A. (2004). “Unpowered approach and landing guidance using trajectory planning.” J. Guid. Control Dyn., 27(6), 967–974.
Kluever, C. A. (2007). “Unpowered approach and landing guidance with normal acceleration limits.” J. Guid. Control Dyn., 30(3), 882–885.
Menon, P. K., Vaddi, S. S., and Sengupta, P. (2012). “Robust landing-guidance law for impaired aircraft.” J. Guid. Control Dyn., 35(6), 1865–1877.
Schierman, J. D., and Hull, J. R. (2005). “In-flight entry trajectory optimization for reusable launch vehicles.” Proc., AIAA Guidance, Navigation, and Control Conf. and Exhibit, AIAA, San Francisco, 1–18.
Schierman, J. D., Hull, J. R., and Ward, D. G. (2002). “Adaptive guidance with trajectory reshaping for reusable launch vehicles.” Proc., AIAA Guidance, Navigation, and Control Conf. and Exhibit, AIAA, Monterey, CA, 1–11.
Schierman, J. D., Hull, J. R., and Ward, D. G. (2003). “Online trajectory command reshaping for reusable launch vehicles.” Proc., AIAA Guidance, Navigation, and Control Conf. and Exhibit, AIAA, Austin, TX, 1–11.
Schierman, J. D., Ward, D. G., Hull, J. R., Gahndi, N., Oppenheimer, M. W., and Doman, D. B. (2004). “Integrated adaptive guidance and control for re-entry vehicles with flight-test results.” J. Guid. Control Dyn., 27(6), 975–988.
Schierman, J. D., Ward, D. G., Monaco, J. F., and Hull, J. R. (2001). “A reconfigurable guidance approach for reusable launch vehicles.” Proc., AIAA Guidance, Navigation, and Control Conf. and Exhibit, AIAA, Montréal, 1–11.
Shtessel, Y., et al. (1998). “Sliding mode control of the X-33 vehicle in launch and re-entry modes.” Proc., AIAA Guidance, Navigation, and Control Conf. and Exhibit, AIAA, Montréal, 1352–1362.
Shtessel, Y., and Krupp, D. (1997). “Reusable launch vehicle trajectory control in sliding modes.” Proc., American Control Conf., IEEE, Albuquerque, NM, 2557–2561.
Slotine, J. (1984). “Sliding mode controller design for nonlinear system.” Int. J. Control, 40(2), 421–434.
U.S. COESA. (1976). “Committee on extension to the standard atmosphere, U.S. standard atmosphere 1976, NOAA-S/T 76-1562.” U.S. Government Printing Office.
Utkin, V. (1993). “Sliding mode control design principles and applications to electric drives.” IEEE Trans. Ind. Electron., 40(1), 23–36.
Zhao, Y., Sheng, Y., and Liu, X. (2014). “Sliding mode control based guidance law with impact angle constraint.” Chin. J. Aeronaut., 27(1), 145–152.
Information & Authors
Information
Published In
Journal of Aerospace Engineering
Volume 29 • Issue 4 • July 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Apr 1, 2014
Accepted: Sep 25, 2015
Published online: Jan 13, 2016
Discussion open until: Jun 13, 2016
Published in print: Jul 1, 2016
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.