Absolute stability of the Kirchhoff string with sector boundary control

作者：Wu, Yuhu^*; Xue, Xiaoping; Shen, Tielong

来源：Automatica, 2014, 50(7): 1915-1921.

DOI：10.1016/j.automatica.2014.05.006

• Kirchhoff string
• Sector condition
• Absolute stability

This paper addresses the stability problem of the nonlinear Kirchhoff string with nonlinear boundary control. The nonlinear boundary control is the negative feedback of the transverse velocity of the string at one end, which satisfies a sector constraint. Employing the integral type multiplier method, we establish explicit absolute exponential stability of the Kirchhoff string system.

• 出版日期2014-7
• 单位哈尔滨学院; 哈尔滨工业大学