Adaptive Fault Tolerant Control of Hypersonic Flight Vehicle with State Constraints using Barrier Lyapunov Function

Abstract

For the longitudinal model of hypersonic flight vehicle (HFV) with redundant rudder surface, the paper investigates a fault-tolerant control which focuses on the full state constraints. Firstly, the barrier Lyapunov function (BLF) based on the dynamic surface method is used to ensure that the flight path angle (FPA), the pitch angle, and the pitch rate are always in the constraint interval, and the problem of differential expansion of the traditional backstepping method is avoided. Then, aiming at the unknown fault of the rudder surface, the fault-tolerant controller structure is designed, and the matching condition for fault compensation control is given. The controller parameter adaptive law designed according to Lyapunov stability theory guarantees the stability and tracking performance of the system. Finally, the Lyapunov theory proves that the proposed method can ensure the closed-loop stability of the control system, and all signals in the closed-loop system are uniformly bounded. Numerical simulation results verify the effectiveness of the controller design in this paper.