基于有限时间预设性能的高超声速飞行器反演控制
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海军工程大学兵器工程学院

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TP273

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国家自然科学基金项目(62101579);中国博士后科学基金项目 (2015M572693)


Backstepping control for hypersonic vehicle based on finite time prescribed performance
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College of Weaponry Engineering, Naval University of Engineering

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    摘要:

    针对存在参数不确定以及外界干扰的高超声速飞行器跟踪性能问题,提出一种基于有限时间预设性能 的反演控制方案。首先,为了便于控制器设计,将高超声速飞行器模型划分为速度、高度子系统。然后针对子系 统分别设计预设性能控制器,来提高系统的瞬态和稳态性能。通过设计一种有限时间性能函数,跟踪误差能够 在预设时间内收敛至稳态值。另外,考虑到反演设计中虚拟指令导数难以获取以及干扰项对系统的影响,基于 干扰观测器提出一种扰动估计方法,目的是取得良好的观测扰动效果的同时,使得控制器设计流程简化,复杂 度降低。基于 Lyapunov 稳定理论证明了系统的跟踪误差最终一致有界。最后通过仿真验证了该方法的有效性。

    Abstract:

    For the problem of hypersonic flight vehicle (HFV) tracking performance with uncertain parameters and external disturbances, a backstepping control scheme based on finite time prescribed performance is proposed. Firstly, in order to facilitate the controller design, the HFV model is divided into velocity and height subsystems. Then, the controllers based on prescribed performance are designed for the these subsystems respectively to improve the transient performance and steady state performance of the system. The tracking error is guaranteed to converge to the steady state within the setting time by designing a finite-time performance function. In addition, considering the difficulty in obtaining the derivative of virtual command and the influence of disturbance items on the system in the backstepping controller design, an estimation method based on disturbance observer is proposed, which aims to simplify the controller design process and reduce its complexity while achieving great observation effect of disturbance. It is proved that the tracking errors of the system are uniformly bounded based on Lyapunov stability theory. Finally, the simulation results show the effectiveness of the proposed method.

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  • 收稿日期:2021-10-27
  • 最后修改日期:2022-03-09
  • 录用日期:2022-03-15
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