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单杆柔性机械臂的轨迹跟踪与末端弹性振动复合控制
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江苏省科技项目(BK20150186);江苏高校优势学科建设工程资助项目


Composite Control of Trajectory Tracking and Vibration Suppression of One-link Flexible Manipulator
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    摘要:

    针对单杆柔性机械臂末端轨迹跟踪和弹性振动抑制的问题,提出了一种基于奇异摄动法的复合控制方法。采用假设模态法和Lagrange方程推导出柔性臂的动力学模型。基于奇异摄动法将柔性臂的刚柔耦合动力学方程分解成慢变(刚性)和快变(弹性)两个子系统。慢变子系统控制器选择滑模控制和PID控制相结合的方法以抑制控制输入引起的抖振,快变子系统则选择LQR最优控制方法以实现简单的线性状态反馈控制律。数值仿真表明:该方法不仅能实现柔性臂的轨迹跟踪,而且有效地抑制了柔性臂运动过程中的弹性振动。并且,采用滑模控制和PID控制相结合的方法设计的慢变子系统控制,能减少普通滑模控制中的输入抖振,具有更好的控制效果。

    Abstract:

    The composite control method based on the singular perturbation method is presented for aimed at the problem of trajectory tracking and vibration suppression of one-link flexible manipulator. The dynamic model of the one-link flexible manipulator was established by the assumed mode method and the Lagrange equations. Then, the coupled dynamic equations were decomposed into slow (rigid) and fast (flexible) sub-systems based on the singular perturbation method. The controller of slow sub-system was designed using proportion integration differential (PID) control and sliding mode control (SMC) for vibration suppression introduced by control input, and the linear quadratic regulator (LQR) optimal control method was used to design fast sub-system controller for realizing simple linear state feedback control law. The numerical simulation results show that the method can not only realize the trajectory tracking of one-link flexible manipulator, but also has a good result on the vibration reducing of flexible manipulators. In addition the controller of slow sub-system designed by using the method of combining SMC with PID control can reduce the input chattering in the traditional SMC, and has a better control effect.

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李爱民.单杆柔性机械臂的轨迹跟踪与末端弹性振动复合控制[J].机床与液压,2017,45(21):21-25.
. Composite Control of Trajectory Tracking and Vibration Suppression of One-link Flexible Manipulator[J]. Machine Tool & Hydraulics,2017,45(21):21-25

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  • 在线发布日期: 2018-03-22
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