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A Condition for Singular Optimal Control Formulation for a Tandem Pair of Gravity Fed Linear DC Machine Powered Mine Locomotives

机译:串联重力馈电线性直流电动机机车奇异最优控制公式的条件。

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The key focus in this study is on gravity fed linear DC machines used to drive mine locomotives. A case for optimal control singularity analysis for this tandem pair of gravity fed linear DC machines on a slope is thus presented. The key operational feature is for a generator locomotive to drive a motor locomotive with gravity providing the machine disparity for generator and motor action. Optimal control formulation is extended in this study, particularly optimal control singularity formulation. The optimal controller should be able to minimize the relative displacement between the machines. Mine locomotive dynamics results are also presented to show that the differential velocity and displacement are minimized. The performance index and Lagrangian are also minimized. The optimal control formulation is demonstrated via switching function differential calculus. The solution is shown to improve mine locomotive energy performance.
机译:这项研究的重点是用于驱动矿机的重力馈电线性直流电机。因此,提出了在斜坡上对这对串联的重力馈电线性直流电机进行最优控制奇异性分析的情况。关键的操作特征是发电机机车通过重力来驱动电机机车,从而为发电机和电机动作提供了机器差异。最佳控制公式在本研究中得到扩展,尤其是最佳控制奇点公式。最佳控制器应能够使机器之间的相对位移最小。还给出了矿机车动力学结果,以表明差速和位移最小。性能指标和拉格朗日也被最小化。通过切换函数微分法证明了最佳控制公式。该解决方案可改善矿山机车的能源性能。

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