植保无人机自适应预定义时间轨迹跟踪控制

Adaptive Predefined-time Trajectory Tracking Control for Plant Protection UAV

  • 摘要: 针对现代植保四旋翼无人机复杂作业环境及对收敛时间与收敛精度的控制需求,本文研究植保四旋翼无人机自适应预定义时间轨迹跟踪控制。充分考虑风速等外部干扰,构建一种新的植保四旋翼无人机系统设计模型,将其六自由度方程模型化为统一形式。采用自适应方法设计未知参数和补偿信号的更新律,利用神经网络方法近似植保四旋翼无人机的不确定非线性函数,通过反推技术和引入自由控制参数,建立更灵活的自适应预定义时间轨迹跟踪控制策略。利用李雅普诺夫预定义时间稳定性,证明闭环系统的稳定性并且轨迹跟踪误差能够在预定义时间内实现收敛到无穷小区域。通过仿真实验验证不同预定义时间下所提控制方案的可行性,并对比其他控制方法,阐释所提控制策略的优越性。

     

    Abstract: This paper presents a comprehensive study on adaptive predefined-time trajectory tracking control for plant protection quadrotor unmanned aerial vehicles (UAVs), specifically designed to address the challenges posed by complex operational environments and the critical need for precise convergence time and accuracy in modern agricultural applications. The research is motivated by the imperative to enhance the autonomy and reliability of UAVs in tasks such as crop spraying, where external disturbances, and inherent system nonlinearities can significantly compromise performance. To establish a robust control framework, a unified six-degree-of-freedom dynamic model of the quadrotor UAV is developed, explicitly incorporating aerodynamic effects and external disturbances. This model serves as the foundation for the controller design, enabling a systematic approach to handling the system's multivariable and underactuated nature. Central to the proposed strategy is the integration of adaptive control techniques with neural network-based approximation. Specifically, Radial Basis Function neural networks are employed to accurately estimate and compensate for the system's uncertain nonlinear functions and unmodeled dynamics online. Adaptive laws are meticulously designed to update the unknown parameters, including the optimal weights of the neural networks and compensation signals, thereby ensuring robustness against variations and disturbances. Compared to existing fixed-time or limited-time controllers, predefined-time controllers offer the flexible feature of adjustable convergence time. The control algorithm is constructed using a command-filtered backstepping technique, which effectively resolves the issue of "complexity explosion" commonly associated with conventional backstepping methods by obviating the need for analytic differentiation of virtual controls. A significant innovation of this work is the incorporation of free control parameters into the predefined-time stability framework. These parameters provide designers with substantial flexibility to adjust the system's transient performance and convergence behavior according to specific operational requirements, offering a greater optimization potential compared to existing predefined-time controllers. The stability of the entire closed-loop system is rigorously proven using Lyapunov theory for predefined-time stability. The analysis conclusively demonstrates that all signals within the system remain uniformly ultimately bounded. Most importantly, the trajectory tracking errors are guaranteed to converge to an arbitrarily small neighborhood of the origin within a predefined time. This convergence time is explicitly determined by a user-defined parameter and is independent of the system's initial conditions, a crucial advantage for practical deployment. The efficacy and superiority of the proposed control scheme are validated through extensive numerical simulations. These simulations evaluate the controller's performance under various predefined time settings and in the presence of continuous external disturbances. The results consistently show rapid convergence, high tracking accuracy, and strong disturbance rejection capabilities. A comparative analysis with other advanced control methods, further highlights the enhanced performance and flexibility of the proposed approach, particularly in achieving a user-specified convergence time without compromising on precision or robustness. In summary, this research contributes a novel, adaptive, and computationally efficient predefined-time control solution that guarantees high-performance trajectory tracking for plant protection UAVs. The theoretical framework and experimental validation provide a solid foundation for the application of such intelligent control systems in precision agriculture, promising improved efficiency and reliability in autonomous farming operations.

     

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