The design of prescribed performance fuzzy back-stepping tracking control for a flexible air-breathing hypersonic vehicle (FAHV) with actuator constraints is discussed. Fuzzy logic systems (FLSs) are applied to approximate the lumped uncertainty of each subsystem of the FAHV model. Every FLS contains only one adaptive parameter that needs to be updated online with a minimal-learning-parameter scheme. The sliding mode differentiator is introduced to obtain the derivatives of the virtual control laws, which avoid the explosion of the differentiation term in traditional back-stepping control. To further improve the control performance, a prescribed performance function characterizing the error convergence rate, maximum overshoot and steady-state error is utilized for the output error transformation. In particular, novel auxiliary systems are explored to handle input saturation. Fuzzy backstep control has obvious advantages in system robustness, control accuracy and highly real-time. Finally, reference trajectory tracking simulations show the effectiveness of the proposed method regarding air-breathing hypersonic vehicle control applications.

讨论了具有执行器约束的柔性呼吸高超音速飞行器（FAHV）的规定性能模糊反步跟踪控制设计。应用模糊逻辑系统（FLS）来估计FAHV模型每个子系统的集总不确定性。每个FLS仅包含一个自适应参数，该参数需要使用最小学习参数方案进行在线更新。引入滑模微分器获得虚拟控制定律的导数，避免了传统反步控制中微分项的爆炸式增长。为了进一步改善控制性能，将表征误差收敛速度，最大过冲和稳态误差的规定性能函数用于输出误差变换。尤其是，探索了新颖的辅助系统来处理输入饱和。模糊反步控制在系统鲁棒性，控制精度和高度实时性方面具有明显优势。最后，参考轨迹跟踪仿真显示了该方法在呼吸高超音速飞行器控制应用中的有效性。