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柔性机械臂的动力学模型及滑模变结构控制
引用本文:刘才山,刘又矢.柔性机械臂的动力学模型及滑模变结构控制[J].振动与冲击,1998,17(1):24-29.
作者姓名:刘才山  刘又矢
作者单位:天津大学机械工程系 (刘才山,刘又午),天津大学机械工程系(王建明)
基金项目:自然科学基金资助项目。
摘    要:本文针对轴向不伸长的Euler-Bernouli梁模型,采用假设模态法,对带有末端荷载的柔性机械臂,推导出考虑动力刚化影响的柔性机械臂有限维一致线性化动力模型.通过极点配置技术设计滑模超曲面参数,采用滑模变结构控制方法,实现关节转角的运动轨迹控制.采用LQR方法设计弹性模态稳态器,抑制由于刚体运动而激发的弹性振动.文中最后针对一单杆柔性机械臂进行了计算机仿真,验证了本文所提出的控制策略的有效性.

关 键 词:柔性机械臂  动力刚化  变结构控制  LQR方法  动力学建模

DYNAMIC MODELING AND VARIABLE STRUCTURE CONTROL OF A FLEXIBLE BEAM
Liu Caishan Liu Youwu Wang Jianming.DYNAMIC MODELING AND VARIABLE STRUCTURE CONTROL OF A FLEXIBLE BEAM[J].Journal of Vibration and Shock,1998,17(1):24-29.
Authors:Liu Caishan Liu Youwu Wang Jianming
Affiliation:Mechanical Department of Tianjin University
Abstract:In the paper, a consistent linear dynamic model in finite dimensions of a horizontally slewing inextensible Euler-Bernouli beam, taking into account the Dynamic Stiffening effectand a tip payload, is derived by using mode assumption method. A pole assignment technique is used to design the coefficients of the sliding surface. A Variable Structure Control (VSC) method is applied to achieve the joint angle trajectory tracking. To suppress the simultaneous elastic vibrations in movement, a stabilization device for elactic modes is designed by using the LQR control method. Numerical simulation results for a single-link flexible beam are presented to show the effectiveness of the proposed control strategy.
Keywords:dynamic stiffening  flexible beam  LQR control  VSC control  dynamic modelling  
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