Adaptive Boundary Control of a Nonlinear Flexible String System

作者：He, Wei^*; Zhang, Shuang; Ge, Shuzhi Sam

来源：IEEE Transactions on Control Systems Technology, 2014, 22(3): 1088-1093.

DOI：10.1109/TCST.2013.2278279

• Adaptive control
• boundary control
• distributed parameter system (DPS)
• flexible string
• partial differential equation (PDE)

In this brief, the vibration control problem is investigated for a flexible string system in both transverse and longitudinal directions. The vibrating string is nonlinear due to the coupling between transverse and longitudinal displacements. Using the Hamilton's principle, the dynamics of the nonlinear string are presented by two partial and four ordinary differential equations. With the Lyapunov's direct method, adaptive boundary control is developed to suppress the string's vibration and the adaptive law is designed to compensate for the system parametric uncertainties. With the proposed control, the states of the system eventually converge to a compact set. Numerical simulations are carried out to verify the effectiveness of the proposed control.

• 出版日期2014-5
• 单位电子科技大学