Technical Papers
Sep 11, 2013

Output Tracking Control for Nonminimum Phase Flexible Air-Breathing Hypersonic Vehicle Models

Publication: Journal of Aerospace Engineering
Volume 28, Issue 2

Abstract

Based on the nonlinear stable inversion approach, an exact output tracking control law is designed for flexible air-breathing hypersonic vehicles (FAHVs). This problem is challenging because of the inherent couplings between the propulsion system, the airframe dynamics, and the presence of strong flexibility effects. Because of the complex nonlinear dynamics of the vehicles, a control-oriented model, which can retain the dominant features of the higher-fidelity model, is adopted for the control design. With respect to velocity and altitude as the regulated outputs, a partially linearized model of FAHVs is obtained through input/output linearization. Then the internal dynamics of FAHVs model are constructed and the stability of the zero dynamics are discussed. Based on the noncausal stable inversion approach, the ideal internal dynamics of FAHVs are computed. A state tracking model is derived from the output tracking problem, and an optimal controller is designed. The stability of the closed-loop system, including the unstable internal dynamics, is guaranteed by the designed control law. Finally, simulations are given to show the effectiveness of the proposed control method.

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Acknowledgments

This work was partially supported by the National Natural Science Foundation of China (61304001, 61304239, 61174126, 61222301, and 61025014).

References

Al-Hiddabi, S., and McClamroch, N. (2002). “Tracking and maneuver regulation control for nonlinear nonminimum phase systems: Application to flight control.” IEEE Trans. Syst. Technol., 10(6), 780–792.
Bertin, J. J., and Cumming, R. M. (2003). “Fifty years of hypersonics: Where we’ve been, where we’re going.” Prog. Aerosp. Sci., 39(6–7), 511–536.
Bolender, M. A., and Doman, D. B. (2006). “A non-linear model for the longitudinal dynamics of a hypersonic air-breathing vehicle.” AIAA Guidance, Navigation, and Control Conf. Exhibit, AIAA 2005-6255, American Institute of Aeronautics and Astronautics (AIAA), Reston, VA.
Bolender, M. A., and Doman, D. B. (2007). “A nonlinear longitudinal dynamical model of an airbreathing hypersonic vehicle.” J. Spacecraft Rockets, 44(2), 374–387.
Buschek, H. C., and Calise, A. (1997). “Uncertainty modeling and fixed-order controller design for a hypersonic vehicle model.” J. Guidance Control Dyn., 20(1), 42–48.
Chavez, F. R., and Schmidt, D. (1994). “Analytical aeropropulsive/aeroelastic hypersonic-vehicle model with dynamic analysis.” J. Guidance Control Dyn., 17(6), 1308–1319.
Curran, E. (2001). “Scramjet engines: The first forty years.” J. Propul. Power, 17(6), 1138–1148.
Devasia, S., Chen, D., and Paden, B. (1996). “Nonlinear inversion-based output tracking.” IEEE Trans. Autom. Control, 41(7), 930–942.
Fiorentini, L., and Serrani, A. (2012). “Adaptive restricted trajectory tracking for a non-minimum phase hypersonic vehicle model.” Automatica, 48(7), 1248–1261.
Fiorentini, L., Serrani, A., Bolender, M., and Doman, D. (2009). “Nonlinear control of non-minimum phase hypersonic vehicle models.” American Control Conf., American Automatic Control Council, New York, 3160–3165.
Gopalswamy, S., and Hedrick, J. (1993). “Tracking nonlinear non-minimum phase systems using sliding mode control.” Int. J. Contr., 57(5), 1141–1158.
Hunt, L., and Meyer, G. (1997). “Stable inversion for nonlinear systems.” Automatica, 33(8), 1549–1554.
Isidori, A. (1995). Nonlinear control system, 3rd Ed., Springer, London.
Jankovsky, P., Sigthorsson, D., Serrani, A., Yurkovich, S., Bolender, M., and Doman, D. (2007). “Output feedback control and sensor placement for a hypersonic vehicle model.” AIAA Guidance, Navigation and Control Conf. and Exhibit, AIAA Paper, 2007–6327, American Institute of Aeronautics and Astronautics (AIAA), Reston, VA.
Lind, R. (2002). “Linear parameter-varying modeling and control of structural dynamics with aerothermoelastic effects.” J. Guidance Control Dyn., 25(4), 733–739.
Liu, G., Ne Šić, D., and Mareels, I. (2008). “Non-linear stable inversion-based output tracking control for a spherical inverted pendulum.” Int. J. Contr., 81(1), 116–133.
McRuer, D. (1991). “Design and modeling issues for integrated airframe propulsion control of hypersonic flight vehicles.” Proc., 1992 American Control Conf., American Automatic Control Council, New York, 729–734.
Oppenheimer, M. W., Bolender, M. A., and Doman, D. B. (2007). “Effects of unsteady and viscous aerodynamics on the dynamics of a flexible air-breathing hypersonic vehicle.”, American Institute of Aeronautics and Astronautics (AIAA), Reston, VA.
Parker, J. T., Serrani, A., Yurkovich, S., Bolender, M. A., and Doman, D. B. (2007). “Control-oriented modeling of an air-breathing hypersonic vehicle.” J. Guidance Control Dyn., 30(3), 856–869.
Schmidt, D. (1992). “Dynamics and control of hypersonic aeropropulsive/aeroelastic vehicles.”, American Institute of Aeronautics and Astronautics (AIAA), Reston, VA.
Shkolnikov, I., and Shtessel, Y. (2002). “Tracking in a class of nonminimum-phase systems with nonlinear internal dynamics via sliding mode using method of system center.” Automatica, 38(5), 837–842.
Sigthorsson, D. O., Jankovsky, P., Serrani, A., Yurkovich, S., Bolender, M. A., and Doman, D. B. (2008). “Robust linear output feedback control of an airbreathing hypersonic vehicle.” J. Guidance Control Dyn., 31(4), 1052–1066.
Wang, Q., and Stengel, R. F. (2000). “Robust nonlinear control of a hypersonic aircraft.” J. Guidance Control Dyn., 23(4), 577–585.
Xu, H., Mirmirani, M. D., and Ioannou, P. A. (2004). “Adaptive sliding mode control design for a hypersonic flight vehicle.” J. Guidance Control Dyn., 27(5), 829–838.
Yim, W., and Singh, S. (1997). “Nonlinear inverse and predictive end point trajectory control of flexible macro-micro manipulators.” J. Dyn. Syst. Meas. Control, 119(3), 412–420.
Zhu, B., Wang, X., and Cai, K. (2011). “Output tracking for nonlinear non-minimum phase systems with output delay and application to an F-16 jet fighter.” Int. J. Syst. Sci., 42(3), 529–538.
Zou, Q., and Devasia, S. (2007). “Precision preview-based stable-inversion for nonlinear nonminimum-phase systems: The VTOL example.” Automatica, 43(1), 117–127.

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Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 28Issue 2March 2015

History

Received: Apr 6, 2013
Accepted: Sep 9, 2013
Published online: Sep 11, 2013
Discussion open until: Nov 27, 2014
Published in print: Mar 1, 2015

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Authors

Affiliations

Xiaoxiang Hu [email protected]
Xi’an Research Institute of High-tech, 302 Unit, Xi’an 710025, P.R. China (corresponding author). E-mail: [email protected]
Changhua Hu
Professor, Xi’an Research Institute of High-tech, 302 Unit, Xi’an 710025, P.R. China.
Ligang Wu
Professor, Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, P.R. China.
Huijun Gao
Professor, Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, P.R. China.

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