Finite element approximation of the nonlinear Kirchhoff string with boundary control

摘要：

　　This paper addresses the finite element approximation problem of a nonlinear Kirchhoff string with the nonlinear boundary control.The nonlinear boundary control is the negative feedback of the transversal velocity of the string at one end,which satisfies a sector constrain.Based on the equivalent variational formulation of the nonlinear string equations,the finite element approximation of the Kirchhoff string with boundary control input is derived in the Lagrange polynomial space of degree 1.Simulation examples are presented to show the effectiveness of our main result.

关键词： Kirchhoff string Boundary control Sector condition Finite element method

作者: Yuhu Wu Tielong Shen

作者单位: Department of Mathematics,Harbin University of Science and Technology,Harbin,P. R. China;Department Department of Mechanical Engineering,Sophia University,Tokyo,Japan

会议类型: 国际会议

会议名称: The 33th Chinese Control Conference第33届中国控制会议

会议地点: 南京

会议语种:英文

页码: 2682-2687

在线出版日期: 2014-07-28（万方平台首次上网日期，不代表论文的发表时间）