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基于改进WOA-PID的红花仿形采摘控制系统设计与试验

Design and experimental validation of a safflower canopy-following picking control system based on improved WOA-PID

  • 摘要: 针对新疆红花田间株高差异大、冠层起伏明显及地表不平整导致采摘头高度难以稳定贴合、易产生漏采与机械损伤的问题,该研究提出一种基于改进鲸鱼优化算法(whale optimization algorithm,WOA)的比例-积分-微分控制器(proportional integral derivative,PID)参数自整定红花仿形采摘控制方法。以自主研制的红花自适应仿形采摘机为对象,构建由可编程逻辑控制器(programmable logic controller,PLC)控制、超声测距与位移反馈融合感知、伺服电动缸执行的高度闭环控制系统,并建立执行机构数学模型。在此基础上,引入时间加权绝对误差积分(integral of time-weighted absolute error,ITAE)作为优化WOA目标函数对PID参数进行智能寻优,为进一步提高WOA的优化能力同时采用混沌初始化、三层群体协同搜索机制和Lévy飞行扰动增强WOA的全局搜索能力。仿真结果表明,在3种典型阶跃高度差(55、210、310 mm)工况下,改进WOA-PID的上升时间分别为0.220、0.240和0.280 s,调节时间分别为0.300、0.330和0.370 s;在稳态性能方面,WOA-PID的超调量分别降至0.04%、0.11%和0.18%,稳态误差分别控制在0.019、0.218和0.505 mm,整体动态性能与稳态精度均优于传统PID和遗传算法优化PID。田间样机试验进一步验证,在车速0.25 m/s、约10 m冠层连续跟踪工况下,改进WOA-PID峰谷过渡更平滑、误差收敛更快,其稳态误差较传统PID与遗传算法优化PID分别降低59.5%和51.9%,ITAE指标较传统PID与遗传算法优化PID分别降低66.7%和32.1%。研究结果可为红花及类似非规则冠层作物的仿形采摘控制与参数优化提供参考。

     

    Abstract: A canopy-following picking control method based on an improved Whale Optimization Algorithm-tuned Proportional-Integral-Derivative controller was developed for safflower harvesting to address unstable coupling between the picking head and the canopy caused by large inter-plant height variability, pronounced canopy undulations, and uneven ground in Xinjiang safflower fields. A self-designed adaptive safflower canopy-following harvester was used as the research platform. A picking-head height closed-loop control system was established with a Programmable Logic Controller as the control core, ultrasonic ranging and displacement feedback as the sensing units, and a servo electric cylinder as the actuator. To support controller design and performance analysis, a mathematical model of the actuator mechanism was established by taking the equivalent armature voltage as the input and the pushrod displacement of the servo electric cylinder as the output. A nominal linear model was adopted to characterize the dominant dynamic behavior of the servo motor and transmission mechanism. A Proportional-Integral-Derivative control structure was employed, in which proportional and integral actions acted on the tracking error, while derivative action acted on the measured output. The Integral of Time-weighted Absolute Error was selected as the optimization objective, and the improved Whale Optimization Algorithm was used for offline parameter tuning. To enhance search performance, three strategies were introduced: Logistic chaotic mapping initialization to improve population diversity, a three-layer cooperative population search mechanism to balance global exploration and local exploitation, and Lévy-flight perturbation to improve the ability to escape from local optima. A conventional Proportional-Integral-Derivative controller and a Genetic Algorithm-tuned Proportional-Integral-Derivative controller were used as benchmark methods. Step-response simulations were carried out under three typical canopy height-difference conditions of 55, 210, and 310 mm. The improved Whale Optimization Algorithm-tuned Proportional-Integral-Derivative controller achieved rise times of 0.220, 0.240, and 0.280 s, settling times of 0.300, 0.330, and 0.370 s, overshoots of 0.04%, 0.11%, and 0.18%, and steady-state errors of 0.019, 0.218, and 0.505 mm, respectively. Compared with the conventional Proportional-Integral-Derivative controller and the Genetic Algorithm-tuned Proportional-Integral-Derivative controller, the proposed method showed faster dynamic response, lower overshoot, and higher steady-state accuracy under all three step conditions. Field experiments were further conducted under continuous canopy-following operation. At a forward speed of 0.25 m/s and a tracking distance of approximately 10 m, the improved Whale Optimization Algorithm-tuned Proportional-Integral-Derivative controller showed smoother peak-to-valley transitions, smaller lag in rapidly varying sections, and faster stabilization after canopy fluctuations. Its rise time and settling time reached 0.270 and 0.360 s, respectively, and the steady-state error was 0.463 mm, representing reductions of 59.5% and 51.9% compared with the conventional Proportional-Integral-Derivative controller and the Genetic Algorithm-tuned Proportional-Integral-Derivative controller, respectively. The Integral of Time-weighted Absolute Error was reduced by 66.7% and 32.1%, respectively. The results demonstrated that the proposed method can effectively improve response speed, steady-state accuracy, and continuous tracking stability for safflower canopy-following picking, and can provide a reference for canopy-following control and parameter optimization of safflower and other crops with irregular canopies.

     

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