A sliding model control for an Euler-Bernoulli beam with boundary shear force feedback
作者: Xuezhang HouXiaoying Zhang
作者单位: 1Department of Mathematics, Towson University, USA
刊名: Journal of Semigroup Theory and Applications, 2015, Vol.2015
来源数据库: Science & Knowledge Publishing Corporation Limited
原始语种摘要: A flexible Euler-Bernoulli beam formulated by partial differential equations subject to the boundary shear force feedback is investigated in this paper. First, an abstract evolution equation corresponding to the beam system is established in an appropriate Hilbert space. Then, a spectral analysis and semigroup generation of the operator of the beam system are discussed. Finally, a sliding model control is proposed associated with an equivalent control equation, and a significant result that the solution of the beam system can be approximated by the ideal sliding mode under a sliding model control is proposed and proved.
全文获取路径: SCIK 

  • control 控制
  • sliding 滑动
  • system 
  • model 模型
  • proposed 建议的
  • feedback 反馈
  • force 
  • shear 切变
  • boundary 边界
  • Bernoulli 贝努里