Abstract: A fuzzy discrete adaptive control method via back-stepping design is proposed for the hypersonic aircraft by using its Euler approximation discrete model. By combining the fuzzy adaptive control and feedback linearization, the mismatched uncertainties can be well compensated by designing a corresponding virtual/actual control input in each back-stepping design procedure. Stability analysis shows that the proposed scheme can guarantee the uniform ultimate boundness of the system tracking errors and fuzzy weight estimation errors. The longitudinal model of a hypersonic aircraft is used to demonstrate the effectiveness of the proposed strategy.

Key words: hypersonic vehicle, fuzzy control, discrete control, flight control