In this paper, vibration control of a nonlinear string system is considered. The system consists of a nonlinear string, two boundary supporting mechanisms, and a moving transporter at the base. To suppress the vibration, boundary control designs are carried out. A new robust and adaptive boundary controller is designed using the Lyapunov direct method. The proposed control is implemented at the two ends supporting the string to compensate for vibration induced by the base motion. It is shown that the adaptive/robust boundary control can asymptotically stabilize the nonlinear string. Numerical simulation of the closed loop system demonstrates the effectiveness of the proposed control.

Issue Section:
Technical Papers
Keywords:
vibration control, flexible structures, closed loop systems, robust control, nonlinear control systems, adaptive control, Lyapunov methods, asymptotic stability, boundary-value problems
Topics:
Adaptive control, Control equipment, Design, Simulation, String, Theorems (Mathematics), Boundary-value problems, Robust control, Closed loop systems
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