Journal
IEEE-ASME TRANSACTIONS ON MECHATRONICS
Volume 20, Issue 4, Pages 1886-1897Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TMECH.2014.2358500
Keywords
Boundary control; distributed parameter system; flexible structures; vibration control
Categories
Funding
- National Natural Science Foundation of China [61203057, 61403063]
- Fundamental Research Funds for the China Central Universities of UESTC [ZYGX2012J087, ZYGX2013Z003]
- National Basic Research Program of China (973 Program) [2014CB744206]
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In this paper, boundary control laws are developed to stabilize the transverse vibration for a nonlinear vertically moving string system. The control system is considered with varying length, varying speed, and the constrained boundary output. Based on the integral-barrier Lyapunov function, the exponential stability is proved with the proposed control without consideration of the disturbance. When the external boundary disturbance is taken into account, the disturbance observer is designed to eliminate its effect. The vibration is regulated and the boundary output always remains in the constrained space by appropriately choosing the control parameters. The control design and the stability analysis are based on the original infinite-dimensional dynamic equations. Extensive numerical examples illustrate the performance of the control system.
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