Study of sliding mode control for stewart platform based on simplified dynamic model

Wu Qiang, C. Juan, Tang Zhiyong
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引用次数: 8

Abstract

Stewart mechanism is widely used in industry. To study the control of Stewart mechanism, hydraulic Stewart platform was used as plant. Controller was designed according to dynamic model, so local closed-loop control system was to be built. Coefficient matrices of dynamic equation of Stewart platform can only be known by measuring real-time pose of platform and doing real-time calculation, which makes application complicated. Therefore dynamic model was transformed, and one operating point was defined as nominal operating point, where coefficient matrices of dynamic equation were constant. Sliding mode controller was designed with simplified dynamic model, and reaching condition of sliding mode was given in the entire workspace of platform. Hence real-time pose measure is avoided and calculation is reduced. Simulation and experiments show that system performance of trajectory tracking with payload is improved by use of the proposed controller.
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基于简化动力学模型的stewart平台滑模控制研究
斯图尔特机构在工业上有着广泛的应用。为了研究Stewart机构的控制,以液压Stewart平台为实验装置。根据动力学模型设计控制器,建立局部闭环控制系统。Stewart平台动力学方程的系数矩阵只有通过实时测量平台位姿并进行实时计算才能得到,这使得应用非常复杂。为此,对动力模型进行变换,定义一个工作点为标称工作点,其中动力方程的系数矩阵为常数。采用简化的动力学模型设计了滑模控制器,给出了平台整个工作空间内滑模达到的条件。从而避免了实时姿态测量,减少了计算量。仿真和实验结果表明,采用该控制器可以有效地提高系统的载荷轨迹跟踪性能。
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