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A novel reaching law for smooth sliding mode control using inverse hyperbolic function

机译:使用反向双曲函数的平滑滑模控制达成法律

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This paper pertains to an important improvement in sliding mode control. The Sliding mode control is robust nonlinear control design technique well known for its robustness against certain class of disturbances and model uncertainties. The mentioned nonlinear design technique suffers from a phenomenon called chattering which consists of high frequency discontinuities introduced by the sliding mode controller. Various techniques have been suggested to remove the chattering however these techniques either result in decrease in the rigor or increase in the complexity of the resulting system. The purpose of this work is to formulate a new controller that intends to reduce the chattering effect and the Reaching Phase of the sliding mode control. The proposed Reaching law has been formulated by using inverse hyperbolic function in its gain term. The gain at the start of reaching phase is high which results in faster convergence towards the surface. Once the Sliding Mode starts the gain is reduced which reduces the chattering. Simulation results show significant reduction of chattering in the control input as well as in the output of the system.
机译:本文涉及滑模控制的重要改进。滑模控制是富裕的非线性控制设计技术,其稳健性针对某些扰动和模型不确定性。所提到的非线性设计技术具有称为抖动的现象,该现象包括由滑动模式控制器引入的高频不连续性。已经提出了各种技术来除去抖动,然而这些技术导致严格的降低或增加所得系统的复杂性。这项工作的目的是制定一个新的控制器,该控制器旨在减少滑模控制的抖动效果和达到阶段。通过在其GAIN术语中使用反向双曲函数来制定拟议的达成法。达到阶段开始时的增益很高,导致朝向表面的更快收敛。一旦滑动模式启动增益,减少了减少抖动的增益。仿真结果显示控制输入中的抖动显着降低以及系统的输出。

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