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.
Design and Simulation of Robust and Adaptive Controls for a Nonlinear String System1
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received June 2001; Revised March 2003. Associate Editor: B. Yang.
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Jin, W., Qu, Z., and Lin, K. (February 26, 2004). "Design and Simulation of Robust and Adaptive Controls for a Nonlinear String System." ASME. J. Vib. Acoust. January 2004; 126(1): 54–62. https://doi.org/10.1115/1.1640353
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