Abstract: This article aims to develop output feedback gain-scheduled scheduled switching tracking control techniques for a hypersonic vehicle based on the linear parameter varying (LPV) observer. Firstly, an LPV state observer is designed to estimate the unmeasured vehicle state variables, then, applying the estimated system state, a sub-region output feedback gain-scheduled controller is designed for each parameter sub-region. Secondly, according to the developed sub-region output feedback gain-scheduled controllers and the switching function which is defined by the value of scheduling parameters, a gain-scheduled switching controller is obtained, which guarantees the closed-loop system to be asymptotically stable and satisfies the given tracking error performance index. The observer error and tracking error are proved to converge to a small neighborhood of the origin via the multiple Lyapunov functions (MLFs) analysis method. Finally, simulation results show that the proposed controller performs well and exhibits good tracking performance.

Key words: Hypersonic vehicles, linear parameter varying, state observer, gain-scheduled switching control, tracking control

摘要： 针对高超声速飞行器纵向运动模型，提出了一种基于线性变参数(Linear Parameter Varying, LPV)观测器的输出反馈增益调度切换跟踪控制方法。首先，设计一种LPV状态观测器在线观测飞行器的未知状态，针对划分的飞行包线参数子区域和观测得到的状态，设计子区域输出反馈增益调度控制器；其次，以调度参数的值定义切换信号，使设计的子区域增益调度控制器产生相应的切换，从而使飞行器在整个飞行包线内全局稳定和满足指定的跟踪性能指标；通过多Lyapunov函数分析方法证明了系统的跟踪误差和观测误差最终将趋向于一个小的区域。最后，仿真结果说明了所设计的控制器具有良好的跟踪控制性能。

关键词: 高超声速飞行器, 线性变参数, 状态观测器, 增益调度切换控制, 跟踪控制