基于事件触发的欠驱动无人艇固定时间轨迹跟踪控制与避碰研究

Fixed-Time Trajectory Tracking and Collision Avoidance Control of Underactuated Unmanned Surface Vehicles via Event-Triggered Mechanism

  • 摘要:目的】针对欠驱动无人艇在模型动态未知、控制输入饱和及障碍物避让等多重约束下的轨迹跟踪问题,本文提出了一种基于事件触发机制的固定时间轨迹跟踪控制方法。 【方法】首先, 通过坐标变换处理欠驱动特性;针对 由模型不确定性与外部干扰组成的复合扰动,设计固定时间干扰观测器, 实现快速精确的估计与补偿;利用人工势能函 数构建制导律, 以满足避障约束;针对输入饱和导致的控制性能退化,设计辅助系统进行补偿;最后,引入相对阈值事 件触发机制以降低控制信号更新频率,从而减少执行器动作次数。 【结果】基于李雅普诺夫固定时间稳定性理论,证明 轨迹跟踪误差能够在固定时间内收敛,同时在避障约束下保证航行安全, 并且系统不存在芝诺行为。 MATLAB 仿真结果验证了所提轨迹跟踪控制方法的有效性和安全性。【结论】所提方法能够精确估计复合扰动,有效补偿输入饱和引起 的性能退化,降低控制器输出频率,实现障碍物避让,为欠驱动无人艇在复杂环境下的轨迹跟踪控制提供了可靠技术方案。

     

    Abstract: Objectives The trajectory tracking problem of underactuated unmanned surface vehicles (USVs) under multiple constraints, including unknown system dynamics, control input saturation, and obstacle avoidance, is addressed in this paper. A fixed-time trajectory tracking control method based on an event-triggered mechanism is proposed. Methods First, a coordinate transformation is applied to handle the underactuated nature of the vehicle. A fixed-time disturbance observer is designed to estimate and compensate for composite disturbances caused by model uncertainties and external interference. An artificial potential function is employed to construct a guidance law that satisfies obstacle avoidance constraints. An auxiliary system is introduced to compensate for performance degradation due to input saturation. Finally, a relative-threshold event-triggered mechanism is incorporated to reduce the frequency of control signal updates, thereby decreasing actuator actions. Results Based on Lyapunov fixed-time stability theory, it is proven that the trajectory tracking error converges within a fixed time, while safe navigation is ensured under obstacle avoidance constraints, and Zeno behavior is avoided. The effectiveness and safety of the proposed trajectory tracking control method are validated through MATLAB simulations. Conclusions Composite disturbances can be accurately estimated, and performance degradation caused by input saturation can be effectively compensated using the proposed method. Control signal frequency is reduced and obstacle avoidance is achieved, providing a reliable technical solution for trajectory tracking control of underactuated unmanned surface vehicles in complex environments.

     

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