基于PINN-DMPC的杂交水稻制种授粉机组协同控制模型

    Cooperative control model of hybrid rice seed production pollination unit based on PINN-DMPC

    • 摘要: 针对杂交水稻制种机械拉绳碰击式授粉因缺乏精准的协同作业控制系统导致授粉效果不佳的问题,提出了一种基于物理信息神经网络(physics-informed neural network,PINN)的机组协同授粉控制方法。该方法为授粉机组各车辆配置独立的分布式模型预测控制器(distributed model predictive controller,DMPC),以处理系统复杂约束与非线性问题;同时,将车辆运动学信息以偏微分方程的形式嵌入PINN网络,利用其融合数据驱动与物理约束的优势精准预测下一时刻的系统状态量;将该预测状态量输入DMPC进行滚动优化,求解得到下一时刻最优控制量,实现授粉机组对目标位置的精准跟踪与编队协同,并通过仿真和模型验证试验对算法进行验证。试验表明PINN-DMPC的求解时间相比与原DMPC降低54.2%,与Adaptive-PID、Pure-Pursuit算法相比,PINN-DMPC算法在跟踪误差和渐进收敛性能上表现较好,跟踪误差在±0.032 m内、航向角误差控制在0.022 rad内。地面编队协同作业的有效覆盖范围能达到全路段的84%。该研究为杂交水稻制种授粉提供了一套高效可靠的协同控制方法,其具备精准的路径跟踪性能和协同作业性能,为杂交水稻制种的现代化和自动化作业奠定基础。

       

      Abstract: Aiming at the problems of poor formation synchronization and unsatisfactory pollination effect caused by the lack of an accurate cooperative operation control system in the mechanical rope-impact pollination for hybrid rice seed production, a cooperative pollination control method for the machine group based on the Physics-Informed Neural Network(PINN) is proposed. This algorithm equips each vehicle in the pollination unit with an independent Distributed Model Predictive Controller(DMPC) to address the complex constraints and nonlinear issues of the system in farmland operation scenarios, ensuring the independence and flexibility of each vehicle. Kinematic information is integrated into the PINN network in the form of partial differential equations. Leveraging PINN's advantages of combining data-driven and physical law constraints, by learning the actual motion states and physical movement laws of vehicles in the real world, the PINN network can predict the state quantities of the next time step by inputting the current time, current state quantities, and current control quantities. Combined with the self-circulation strategy, it quickly meets the DMPC's computational requirements for future state quantities, effectively solving the pain points of low solution efficiency and insufficient real-time performance of traditional model predictive control in nonlinear systems. Finally, the predicted state quantities are input into the DMPC for rolling optimization. By constructing a cost function including tracking accuracy error, control stability error, and terminal stability error, the optimal control quantities for the next moment are obtained under the premise of satisfying the vehicle's physical performance constraints, realizing the precise tracking of the target position and formation coordination of the pollination unit, and completing the pollination operation. To comprehensively verify the tracking accuracy, formation coordination ability, and actual operation adaptability of the algorithm, simulation experiments, ground tests, and field experiments were sequentially carried out in this study. The simulation results show that compared with the Adaptive-PID and Pure-Pursuit algorithms, the PINN-DMPC algorithm exhibits better performance in tracking error and asymptotic convergence. The tracking error is within \text± 0.032 m with a standard deviation of 0.0098 m, enabling precise and stable path tracking, and the yaw angle error is stabilized within 0.022 rad, providing a reliable directional reference for position tracking. In terms of solution efficiency, the average single-step solution time of PINN-DMPC is 0.011 s, which is 54.2% less than that of the original DMPC, significantly improving the real-time response capability of the controller and reducing the performance and cost requirements for control equipment. In the ground test, the effective operation range of the actual simulation can cover 84% of the entire road section in terms of ground formation coordination performance, and rapid adjustment can be achieved in the case of position deviation. The longitudinal distance error of the formation is controlled within 0.1 m, and the included angle between the unit and the rice parental rows does not exceed 9°, ensuring the stability of formation coordination. This study provides a set of cooperative control algorithms suitable for pollination in hybrid rice seed production. The algorithm has precise path tracking performance and cooperative operation performance, laying a foundation for the modernization and automation of hybrid rice seed production operations.

       

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