Nonlinear Dynamics

, Volume 73, Issue 3, pp 1849–1861 | Cite as

Neural control of hypersonic flight vehicle model via time-scale decomposition with throttle setting constraint

  • Bin Xu
  • Zhongke Shi
  • Chenguang Yang
  • Shixing Wang
Original Paper


Considering the use of digital computers and samplers in the control circuitry, this paper describes the controller design in discrete time for the longitudinal dynamics of a generic hypersonic flight vehicle (HFV) with Neural Network (NN). Motivated by time-scale decomposition, the states are decomposed into slow dynamics of velocity, altitude and fast dynamics of attitude angles. By command transformation, the reference command for γθ p q subsystem is derived from hγ subsystem. Furthermore, to simplify the backstepping design, we propose the controller for γθ p q subsystem from prediction function without virtual controller. For the velocity subsystem, the throttle setting constraint is considered and new NN adaption law is designed by auxiliary error dynamics. The uniformly ultimately boundedness (UUB) of the system is proved by Lyapunov stability method. Simulation results show the effectiveness of the proposed algorithm.


Hypersonic flight control Time-scale decomposition System transformation Neural network saturation 



This work was supported by the DSO National Laboratories of Singapore through a Strategic Project Grant (Project No. DSOCL10004), National Science Foundation of China (Grant No. 61134004, 61005085), NWPU Basic Research Funding (Grant No. JC20120236) and Fundamental Research Funds for the Central Universities (2012QNA4024).


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Bin Xu
    • 1
  • Zhongke Shi
    • 1
  • Chenguang Yang
    • 2
  • Shixing Wang
    • 3
  1. 1.School of AutomationNorthwestern Polytechnical UniversityXi’anChina
  2. 2.School of Computing and MathematicsPlymouth UniversityPlymouthUK
  3. 3.Department of Control EngineeringNaval Aeronautical and Astronautical UniversityYantaiChina

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