In this paper, a controller combining backstepping and adaptive supertwisting sliding mode control method is proposed for altitude and velocity tracking control of air-breathing hypersonic vehicles (AHVs). Firstly, the nonlinear longitudinal model of AHV is introduced and transformed into a strict feedback form, to which the backstepping method can be applied. Considering the longitudinal trajectory tracking control problem (altitude control and velocity control), the altitude tracking control system is decomposed to several one-order subsystems based on the backstepping method, and an adaptive supertwisting sliding mode controller is designed for each subsystem, in order to obtain the virtual control variables and actual control input. Secondly, the overall stability of the closed-loop system is proved by the Lyapunov stability theory. At last, the simulation is carried out on an AHV model. The results show that the proposed controller has good control performances and good robustness in the parameter perturbation case.

中文翻译：

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空气呼吸超音速飞行器的自适应反步滑模控制

本文提出了一种结合反推和自适应超扭曲滑模控制方法的控制器，用于航空高超声速飞行器的高度和速度跟踪控制。首先，引入了AHV的非线性纵向模型，并将其转化为严格的反馈形式，可以应用反推方法。考虑到纵向轨迹跟踪控制问题（高度控制和速度控制），基于反步法将高度跟踪控制系统分解为几个一阶子系统，并为每个子系统设计了自适应超扭曲滑模控制器，以获取虚拟控制变量和实际控制输入。其次，通过李雅普诺夫稳定性理论证明了闭环系统的整体稳定性。最后，仿真是在AHV模型上进行的。结果表明，所提出的控制器在参数摄动情况下具有良好的控制性能和鲁棒性。