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分布式设施园艺电动平台的车速-滑转率串级控制器设计

Design of a Cascaded Vehicle Speed–Slip Rate Controller for a Distributed Electric-Drive Horticultural Facility Mobile Platform

  • 摘要: 在旋耕作业工况下,机具高负载干扰易导致轮胎滑转率过大和车速跟踪精度不足,严重影响分布式设施园艺电动平台的纵向稳定性。针对上述问题,该研究提出一种基于积分鲁棒车速-滑模滑转率串级控制方法,并通过仿真和实车试验验证其有效性。首先,考虑车轮-土壤相互作用及旋耕作业阻力特性,建立分布式设施园艺电动平台-旋耕机具耦合系统的动力学模型,在此基础上设计外环车速控制器,通过引入积分鲁棒控制方法抑制建模误差与负载扰动引起的稳态偏差,从而保证作业速度的稳定性;进一步基于滑模控制设计内环滑转率控制器,将轮胎力学模型反解得到的最优滑转率作为参考输入,实现滑转率的快速收敛与精确跟踪。仿真结果表明,在突遇泥泞路段工况下,串级控制方法的车速平均误差为0.10 km/h,相较于切换控制和车速控制分别降低了16.6%和67.7%;车速恢复时间为0.11s,相较于切换控制和车速控制分别降低了35.2%和68.6%。在耕深变换工况下,串级控制方法的车速平均误差为0.072 km/h,相较于切换控制和车速控制分别降低了40.0%和52.0%;平均滑转率为0.12,相较于切换控制和车速控制分别降低了7.6%和58.6%。实车试验结果表明,加速工况下,该控制方法的平均滑转率相较于切换控制和车速控制分别降低了11.7%和16.6%,车速平均误差分别降低了4.3%和8.3%;在深耕工况下,该控制方法的平均滑转率相较于切换控制和车速控制分别降低了23.5%和31.6%,车速平均误差分别降低了20.0%和37.5%。所设计的串级控制方法通过外环与内环控制器协同作用,形成驱动防滑与车速调节的一体化控制,提升了整机在高扰动工况下的纵向稳定性,有效抑制了平台在旋耕作业过程的滑转率,提升了车速控制性能和作业稳定性。

     

    Abstract: High-load disturbances on implements during rotary tillage can cause significant wheel slip and impaired speed control. These issues adversely affect, and can severely compromise, the longitudinal stability of distributed electric-drive horticultural facility mobile platforms. To address these issues, a cascaded control method based on integral robust vehicle speed control and sliding-mode slip rate control is proposed. Its effectiveness is validated through simulations and vehicle experiments. First, considering tire-soil interaction and the resistance characteristics of rotary tillage, a dynamic model of the coupled system between the distributed electric-drive horticultural platform and the rotary tiller is established. The model explicitly incorporates wheel rotational dynamics and external disturbance torques induced by soil adhesion and variable tillage resistance. Moreover, the nonlinear relationship between longitudinal tire force and slip ratio is described to accurately characterize traction generation under deformable soil conditions, thereby forming a comprehensive coupled modeling framework. This modeling approach provides a theoretical basis for coordinated slip regulation and speed stabilization under high-load operating environments. Subsequently, an outer-loop vehicle speed controller is designed, incorporating integral robust control to eliminate steady-state errors caused by modeling inaccuracies and operational disturbances, thereby ensuring speed stability. The integral term compensates for persistent disturbance-induced bias, while the robust component enhances the controller’s tolerance to parametric uncertainties and unmodeled dynamics. By combining integral action with robustness enhancement, the outer-loop controller maintains accurate speed tracking even when sudden load fluctuations occur. Furthermore, an inner-loop slip rate controller is developed using sliding-mode control, with the optimal slip rate obtained from the inverse tire model serving as the reference input to achieve rapid convergence and precise slip rate tracking. Sliding-mode control is selected due to its inherent robustness against matched disturbances and modeling uncertainties, enabling fast dynamic response and strong anti-interference capability. The reference optimal slip rate corresponds to the traction peak region of the tire–soil interaction curve, thereby maximizing traction efficiency while preventing excessive slip. The platform’s longitudinal stability under high-disturbance conditions is improved through the coordination of outer and inner loops which forms an integrated control strategy for anti-slip driving and speed regulation. Through this cascaded structure, the inner loop rapidly suppresses slip ratio deviations, while the outer loop guarantees global speed regulation performance, forming a hierarchical traction control architecture suitable for distributed electric-drive systems. Simulation results indicate that under sudden muddy conditions, the cascaded control method achieved an average speed error of 0.10 km/h, representing reductions of 16.6% and 67.7% compared to switching control and speed control, respectively. The corresponding speed recovery time was 0.11 seconds, reduced by 35.2% and 68.6%, respectively. Under variable tillage depth simulation conditions, the cascaded control method yielded an average speed error of 0.072 km/h, representing reductions of 40.0% and 52.0% compared with switching control and speed control, respectively. Additionally, the average slip rate was 0.12, reduced by 7.6% and 58.6%, respectively. Experimental results indicate that under acceleration conditions, the cascaded control method achieved an average speed error of 0.44 km/h, representing reductions of 4.3% and 8.3% compared to switching control and speed control. The average slip ratio was 0.15, reduced by 11.7% and 16.6%, respectively. Under deep tillage conditions, the cascaded control method yielded an average speed error of 0.20 km/h, representing reductions of 20.0% and 37.5% compared to switching control and speed control. The average slip ratio was 0.13, reduced by 23.5% and 31.6%, respectively. Therefore, the proposed cascaded controller can effectively suppress the slip ratio during rotary tillage operations, thereby enhancing vehicle speed control performance and operational stability.

     

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