Skip to main content
Log in

Feedback control design with vibration suppression for flexible air-breathing hypersonic vehicles

  • Research Paper
  • Published:
Science China Information Sciences Aims and scope Submit manuscript

Abstract

This paper investigates the problem of feedback control design with vibration suppression for a flexible air-breathing hypersonic vehicle (FAHV). FAHV includes intricate coupling between the engine and flight dynamics, as well as complex interplay between flexible and rigid modes, which results in an intractable system for the control design. In this paper, a longitudinal model, which is described by a coupled system of ordinary differential equations (ODEs) and partial differential equations (PDEs), is adopted. Firstly, a linearized ODE model for the rigid part is established around the trim condition, while vibration of the fuselage is described by PDEs. Secondly, based on the Lyapunov direct method, a control law via ODE state feedback and PDE boundary output feedback is designed for the system such that the closed-loop exponential stability is ensured. Finally, simulation results are given to illustrate the effectiveness of the proposed design method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Moses P L, Rausch V L, Nguyen L T, et al. NASA hypersonic flight demonstrators-overview, status, and future plans. Acta Astronaut, 2004, 55: 619–630

    Article  Google Scholar 

  2. Schmidt D K. Dynamics and control of hypersonic aeropropulsive/aeroelastic vehicles, In: AIAA Guidance, Navigation and Control Conference, Washington DC, 1992. 161–171

    Google Scholar 

  3. Fidan B, Mirmirani M, Ioannou P A. Flight dynamics and control of air-breathing hypersonic vehicles: review and new directions. In: AIAA International Space Planes and Hypersonic Systems and Technologies, Norfolk, 2003. 1–16

    Google Scholar 

  4. David L R, McMinn J D. Impact of aeroelastic-propulsive interactions on flight dynamics of a hypersonic vehicle. J Aircr, 1995, 2: 355–362

    Google Scholar 

  5. Chavez F R, Schmidt D K. Analytical aeropropulsive/aeroelastic hypresonic-vehicle model with dynamic analysis. J Guid Control Dyn, 1994, 17: 46–53

    Article  Google Scholar 

  6. Bilimoria K D, Schmidt D K. Integrated development of the equations of motion for elastic hypersonic flight vehicles. J Guid Control Dyn, 1995, 18: 73–81

    Article  MATH  Google Scholar 

  7. Bolender M A, Doman D B. Nonlinear longitudinal dynamical model of an air-breathing hypersonic vehicle. J Spacecr Rockets, 2007, 44: 374–387

    Article  Google Scholar 

  8. Oppenheimer M W. A flexible hypersonic vehicle model developed with piston theory. In: AIAA Atmospheric Flight Mechanics Conference and Exhibit, Hilton Head, 2007. 1–25

    Google Scholar 

  9. Parker J T, Serrani A, Yurkovich S, et al. Control-oriented modeling of an air-breathing hypersonic vehicle. J Guid Control Dyn, 2007, 30: 856–868

    Article  Google Scholar 

  10. Sigthorsson D O, Jankovsky P, Serrani A, et al. Robust linear output feedback control of an airbreathing hypersonic vehicle. J Guid Control Dyn, 2008, 31: 1052–1066

    Article  Google Scholar 

  11. Hu Y N, Yuan Y, Min H B, et al. Multi-objective robust control based on fuzzy singularly perturbed models for hypersonic vehicles. Sci China Inf Sci, 2011, 54: 563–576

    Article  MATH  MathSciNet  Google Scholar 

  12. Gibson T E, Annaswamy A M. Adaptive control of hypersonic vehicles in the presence of thrust and actuator uncertainties. In: AIAA Guidance, Navigation, and Control Conference and Exhibit, Honolulu, 2008. 3178–3183

    Google Scholar 

  13. Gao D X, Sun Z Q. Fuzzy tracking control design for hypersonic vehicles via T-S model. Sci China Inf Sci, 2011, 54: 521–528

    Article  MATH  MathSciNet  Google Scholar 

  14. Groves K P, Sigthorsson D O, Serrani A, et al. Reference command tracking for a linearized model of an air-breathing hypersonic vehicle. In: AIAA Guidance, Navigation, and Control Conference and Exhibit, San Francisco, 2005. 2901–2914

    Google Scholar 

  15. Li H Y, Si Y L, Wu L G. Guaranteed cost control with poles assignment for flexible air-breathing hypersonic vehicle. Int J Syst Sci, 2011, 42: 863–876

    Article  MATH  MathSciNet  Google Scholar 

  16. Ge S S, Lee T H, Zhu G. Variable structure control of a distributed-parameter flexible beam. J Robot Syst, 2001, 18: 17–27

    Article  MATH  Google Scholar 

  17. Dadfarnia M, Jalili N, Xian B, et al. A Lyapunov-based piezoelectric controller for flexible cartesian robot manipulators. J Dyn Syst Meas Control-Trans ASME, 2004, 126: 347–358

    Article  Google Scholar 

  18. He W, Ge S S, How B V, et al. Robust adaptive boundary control of a flexible marine riser with vessel dynamics. Automatica, 2011, 47: 722–732

    Article  MATH  MathSciNet  Google Scholar 

  19. Hardy G H, Littlewood J E, Polya G. Inequalities. Cambridge: Cambridge University Press, 1952. 106–122

    MATH  Google Scholar 

  20. Boyd S, Ghaoui L E, Feron E, et al. Linear Matrix Inequalities in System and Control Theory. PA: SIAM, 1994. 7–22

    Book  MATH  Google Scholar 

  21. Gahinet P, Nemirovskii A, Laub A J, et al. LMI Control Toolbox for Use with Matlab. Natick: The Math Works Inc., 1995. 9-31–9-34

    Google Scholar 

  22. Tzes A P, Yurkovich S, Langer F D. A method for solution of the Euler-Bernoulli beam equation in flexible-link robotic systems. In: IEEE International Conference on System Engineering, Fairborn, 1989. 557–560

    Chapter  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to HuaiNing Wu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gao, Y., Wu, H., Wang, J. et al. Feedback control design with vibration suppression for flexible air-breathing hypersonic vehicles. Sci. China Inf. Sci. 57, 1–14 (2014). https://doi.org/10.1007/s11432-012-4765-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11432-012-4765-6

Keywords

Navigation