Abstract
A nonlinear robust controller was presented to improve the tracking control performance of a flexible air-breathing hypersonic vehicle (AHV) which is subjected to system parametric uncertainties and unknown additive time-varying disturbances. The longitudinal dynamic model for the flexible AHV was used for the control development. High-gain observers were designed to compensate for the system uncertainties and additive disturbances. Small gain theorem and Lyapunov based stability analysis were utilized to prove the stability of the closed loop system. Locally uniformly ultimately bounded tracking of the vehicle’s velocity, altitude and attack angle were achieved under aeroelastic effects, system parametric uncertainties and unknown additive disturbances. Matlab/Simulink simulation results were provided to validate the robustness of the proposed control design. The simulation results demonstrate that the tracking errors stay in a small region around zero.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
BOLENDER M A, DOMAN D B. Flight path angle dynamics of air-breathing hypersonic vehicles [C]// Proc of the 2006 AIAA Guidance, Navigation, and Control Conference and Exhibit. Keystone, Colorado, USA: AIAA Press, 2006: 6692–6704.
BOLENDER M A, DOMAN D B. A nonlinear longitudinal dynamic model of air-breathing hypersonic vehicle [J]. Journal of Spacecraft and Rockets, 2007, 44(2): 374–387.
PARKER J T, SERRANI A, YURKOVICH S, BOLENDER M A, DOMAN D B. Control-oriented modeling of an air-breathing hypersonic vehicle [J]. Journal of Guidance, Control, and Dynamics, 2007, 30(3): 856–869.
XU H, MIRMIRANI M, IOANNOU P. Adaptive sliding mode control design for a hypersonic flight vehicle [J]. Journal of Guidance, Control, and Dynamics, 2005, 27(5): 829–838.
UR REHMAN O, PETERSEN I R, FIDAN B. Robust nonlinear control design of a hypersonic flight vehicle using minimax linear quadratic Gaussian control [C]// Proc of the 49th IEEE Conference on Decision and Control. Atlanta, GA, USA: IEEE Press, 2010: 6219–6224.
FIORENTINI L, SERRANI A, BOLENDER M A, DOMAN D B. Robust nonlinear sequential loop closure control design for an air-breathing hypersonic vehicle model [C]// Proc of the 2008 American Control Conference. Seattle, Washington, USA: IEEE Press, 2008: 3458–3463.
FIORENTINI L, SERRANI A, BOLENDER M A, DOMAN D B. Nonlinear robust adaptive control of flexible air-breathing hypersonic vehicles [J]. Journal of Guidance, Control, and Dynamics, 2009, 32(2): 401–416.
WILCOX Z D, MACKUNIS W, BHAT S, LIND R, DIXON W E. Robust nonlinear control of a hypersonic aircraft in the presence of aerothermoelastic effects [C]// Proc of the 46th American Control Conference, St. Louis, MO, USA: IEEE Press, 2009: 2533–2538.
WILCOX Z D, MACKUNIS W, BHAT S, LIND R, DIXON W E. Lyapunov-based exponential tracking control of a hypersonic aircraft with aerothermoelastic effects [J]. AIAA Journal of Guidance, Control, and Dynamics, 2010, 33(4): 1213–1224,.
SERRANI A, ZINNECKER A M, FIORENTINI L, BOLENDER M A, DOMAN D B. Integrated adaptive guidance and control of constrained nonlinear air-breathing hypersonic vehicle models [C]// Proc of the 2009 American Control Conference, St. Louis, MO, USA: IEEE Press, 2009: 3172–3177.
SOMANATH A, ANNASWAMY A. Adaptive control of hypersonic vehicles in presence of aerodynamic and center of gravity uncertainties [C]// Proc of the 49 IEEE Conference on Decision and Control. Atlanta, GA, USA, 2010: 4661–4666.
WASEEM A B, LIN Y, AMEZQUITA S K. Robust adaptive dynamic surface control of a hypersonic flight vehicle [C]// Proc of the 49th IEEE Conference on Decision and Control. Atlanta, GA, USA: IEEE Press, 2010: 3632–3637.
LI X D, XIAN B, DIAO C, YU Y P, YANG K Y, ZHANG Y. Output feedback control of hypersonic vehicles based on neural network and high gain observer [J]. Science in China Series F, 2011, 54(3): 429–447.
ATASSI A N, KHALIL H K. A separation principle for the stabilization of a class of nonlinear systems [J]. IEEE Transactions on Automatic Control, 1999, 44(9): 1672–1687.
BULLINGER E, ALLGOWER F. An adaptive high-gain observer for nonlinear systems [C]// Proc of the 36th IEEE Conference on Decision and Control. San Diego, California, USA: IEEE Press, 1997: 4348–4353.
KHALIL H K. Nonlinear systems [M]. 3rd ed. New Jersey: Prentice-Hall. Inc, 2002: 118.
XIAN B, DAWSON D M, de QUEIROZ M S, CHEN J. A continuous asymptotic tracking control strategy for uncertain nonlinear systems [J]. IEEE Transactions on Automatic Control, 2004, 49(7): 1206–1211.
ZHANG R, QUAN Q, CAI K Y, Attitude control of a quadrotor aircraft subject to a class of time-varying disturbances [J]. IET Control Theory and Applications, 2011, 5(9): 1140–1146.
TEEL A R. A nonlinear small gain theorem for the analysis of control systems with saturation [J]. IEEE Transactions on Automatic Control, 1996, 41(9): 1256–1270.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Projects(90916004, 60804004) supported by the National Natural Science Foundation of China; Project supported by the Program for the New Century, China; Project(NCET-09-0590) supported by Excellent Talents in University, China
Rights and permissions
About this article
Cite this article
Zhang, Y., Xian, B., Diao, C. et al. Robust tracking control design for a flexible air-breathing hypersonic vehicle. J. Cent. South Univ. 21, 130–139 (2014). https://doi.org/10.1007/s11771-014-1924-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11771-014-1924-5