This paper investigates the state-constrained controller design of a hypersonic flight vehicle (HFV) based on an asymmetric barrier Lyapunov function (ABLF). The robust adaptive back-stepping controller with integral terms is applied for the HFV longitudinal dynamics. Considering the asymmetric angle of attack (AOA) constraint caused by the unique structure and scramjet, the controller is modified by constructing an ABLF, where the asymmetric constraint on AOA tracking error is introduced. Combined with the constraint on virtual control, the AOA is restricted to a predefined asymmetric interval. The system stability and the AOA constraint are guaranteed via Lyapunov analysis. Simulation results verify that the AOA can be kept in the given asymmetric interval while the altitude reference signal is tracked.

本文研究了基于不对称障碍Lyapunov函数（ABLF）的高超声速飞行器（HFV）的状态约束控制器设计。具有积分项的鲁棒自适应反步控制器用于HFV纵向动力学。考虑到独特结构和超燃冲压发动机引起的不对称迎角约束，通过构造ABLF对控制器进行了修改，引入了对AOA跟踪误差的不对称约束。结合虚拟控制的约束，AOA被限制为预定义的不对称间隔。通过Lyapunov分析可确保系统稳定性和AOA约束。仿真结果证明，在跟踪高度参考信号时，AOA可以保持在给定的不对称间隔内。