无级变速拖拉机跃度最优化调速控制

    Minimum-jerk velocity planning and control for CVT tractorvelocity regulation

    • 摘要: 针对无人驾驶拖拉机加减速导致的作业平稳性低和燃油经济性差等问题,该研究基于CVT(constantly variable transmission,无级变速传动)拖拉机,设计了一种基于贝尔曼最优性原理的最小跃度多项式局部速度规划算法。基于贝尔曼最优性原理和最优控制思想设计全局规划目标、局部规划目标及约束,提出基于最小跃度多项式的局部速度规划算法并开发速度跟随控制系统。田间试验表明,相对于无最优化调速技术的对照组,U型掉头的速度误差平均值和均方根分别降低42.31%和50.75%,加速度平均值与方差分别降低8.26%和16.36%,跃度平均值与方差分别降低7.65%和14.23%,发动机转速方差降低63.36%,发动机扭矩百分比方差降低60.26%,瞬时油耗方差降低71.25%,总油耗降低2.37%。直线行驶调速效果呈现相同趋势,与对照组相比,速度误差平均值和均方根分别降低9.45%和11.14%,加速度平均值与方差分别降低6.03%和13.68%。跃度平均值和均方根分别降低1.55%和3.59%。发动机转速方差降低31.78%,发动机扭矩百分比方差降低25.13%,瞬时油耗方差降低31.82%,总油耗降低2.48%。所提方法满足无级变速拖拉机无人驾驶速度平稳切换需要,并提高了燃油经济性。

       

      Abstract: The target velocity jump has caused the low-velocity stability and fuel economy in the whole process of autonomous agricultural machinery operation. In this study, optimal velocity planning was proposed for the field operation of agricultural machinery in the constantly variable transmission (CVT) tractor. The global and local planning objectives and constraints were collected from the autonomous agricultural machinery. The minimum-jerk polynomial velocity planning was then designed using the Bellman optimality principle and optimal control theory. The velocity-following control system was also developed to realize the stable velocity cruise of autonomous agricultural machinery in the field. The velocity planning was modelled as multi-stage decision-making, according to the time series. The optimal decision was achieved in the jerk optimal control at each stage to realize the state transition. Bellman optimality principle and optimal control theory were selected to design the minimum-jerk polynomial velocity planning. The minimum jerk cost function was subject to hard constraints, such as the maximum and minimum velocity, acceleration, and jerk. The soft constraints were utilized to realize the driving task in the shortest possible time. Numerical solutions were used to reduce the difficulty of the model. Polynomial piecework fitting was generated to fully meet the smooth and continuous optimal speed reference curve under the hard constraints. The performance of the control system was significantly improved to prevent the velocity jump and varying conditions. The velocity stability and fuel economy were realized in the CVT tractor. The feasible solution space was obtained in the numerical solution. The end states of tractor motion were taken to heuristically search for the optimal solution under hard and soft constraints. The numerical solution was obtained after sampling. The unexecuted portion of the previous cycle’s solution in each planning cycle was utilized to achieve the time consistency of the unmanned tractor. The executive layer controller of the unmanned tractor usually tracked the reference curve generated by the planning algorithm with high accuracy and responsiveness. However, the replanning was performed to discard the remaining part of the previous solution, when the motion state deviated significantly from the target trajectory under external disturbances. The U-turn field experiment showed that the mean absolute error (MAE) and the root mean square error (RMSE) of speed decreased by 42.31%, and 50.75%, respectively, compared with the control group. The average absolute value and the variance of acceleration decreased by 8.26%, and 16.36%, respectively, while their jerk decreased by 7.65% and 14.23%, respectively. The variance of engine speed, torque percentage, instantaneous fuel consumption, and total fuel consumption decreased by 63.36%, 60.26%, 71.25%, and 2.37%, respectively. The straight-line navigation velocity adjustment experiment showed a similar optimization trend. The MAE and the RMSE of speed decreased by 9.45%, and 11.14%, while the average absolute value and variance of acceleration decreased by 6.03% and 13.68%, respectively. The average absolute value and variance of jerk decreased by 1.55% and 3.59%, respectively. The variance of engine speed decreased by 31.78%, the variance of engine torque percentage decreased by 25.13%, and the variance of instantaneous fuel consumption decreased by 31.82%. The total fuel consumption decreased by 2.48%. The stability of speed regulation was significantly improved to reduce fuel consumption during operation. The smooth control of velocity switching can fully meet the requirement for autonomous CVT tractors.

       

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