- 會議論文
Stabilization of an Axially Moving String by Nonlinear Boundary Feedback
並列摘要
In this paper, we consider the system modeled by an axially moving string and a mass-damper-spring (MDS) controller, applied at the right-hand-side (RHS) boundary of the string. The feature of the controller was not restricted at all, and was determined by the system implicitly. The linear and nonlinear control laws through this controller are proposed. Moreover, we concern the nonlinearity due to the stretched tension of the string. In this paper, we find that a linear boundary feedback can result the total mechanical energy of the system an asymptotical decay, but it fails for an exponential decay. However, a nonlinear boundary feedback controller can stabilize the system exponentially. The asymptotic and exponential stability are verified through the total mechanical energy dissipation.
延伸閱讀
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