水下滑翔机3D路径跟踪实现固定时间收敛与性能约束
Fixed-time control with prescribed performance for path following of underwater gliders
- 将有限时间性能函数融入固定时间控制框架
- 误差在固定时间内收敛至预设边界,且不依赖初始状态
- 适合强流干扰下的高精度水下导航任务
水下滑翔机在飓风季观测和长时间环境监测等挑战性任务中应用日益广泛,但强流与湍流对航行安全构成重大威胁。本文针对受模型不确定性与环境扰动影响的水下滑翔机3D路径跟踪问题,提出一种固定时间预设性能控制方案。核心贡献在于将有限时间性能函数集成于固定时间控制框架,确保跟踪误差被约束在预设性能范围内,并在与初始条件无关的固定时间内收敛至紧集。另一关键贡献是设计了一种固定时间滑模扰动观测器,可对总扰动实现精确的有限时间估计,提升系统鲁棒性。结合iLOS制导律,所提控制器实现了精确且安全的航点跟踪。数值仿真表明,该方法在跟踪精度、收敛速度和控制努力平滑性方面均优于传统滑模与预设性能控制器,验证了其在鲁棒水下导航中的有效性。
原文摘要 · Abstract (English)
Underwater gliders are increasingly deployed in challenging missions - such as hurricane-season observations and long-endurance environmental monitoring - where strong currents and turbulence pose significant risks to navigation safety. To address these practical challenges, this paper presents a fixed-time prescribed performance control scheme for the 3D path following of underwater gliders subject to model uncertainties and environmental disturbances. The primary contribution is the integration of a finite-time performance function within a fixed-time control framework. This synthesis ensures that the tracking errors are constrained within prescribed performance bounds and converge to a compact set within a fixed time, independent of initial conditions. A second key contribution is the development of a fixed-time sliding mode disturbance observer that provides accurate finite-time estimation of lumped disturbances, enhancing the system's robustness. Integrated with an iLOS guidance law, the proposed controller enables precise and safe waypoint following. Numerical simulations demonstrate that the proposed method outperforms conventional sliding mode and prescribed performance controllers in tracking accuracy, convergence speed, and control effort smoothness, validating its efficacy for robust underwater navigation.
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