Lyapunov-Based Model Predictive Control for Shipboard Boom Cranes Under Input Saturation

Cao, Yuchi; Li, Tieshan; Hao, Li‐Ying

doi:10.1109/tase.2022.3192840

Cited by 12 publications

(2 citation statements)

References 33 publications

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“…Fruitful researches focus on the vibration control of systems with a rigid cable using ordinary differential equations (ODEs) model. For instance, there are several efforts in the published approach for the vibration control for the boom crane, which is widely used in the offshore operation, on different design objectives, such as Reference 5 on nonlinear coordination control, Reference 6 on model predictive control and Reference 7 on linear cascade control. In Reference 8, the sliding‐mode control approach is adopted, where the chatting phenomenon is suppressed by apply Sigmoid function.…”

Section: Introductionmentioning

confidence: 99%

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Robust adaptive vibration control of a gantry crane system with flexible cable

Huang,

Wu,

Lou

et al. 2023

Adaptive Control & Signal

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SummaryIn this paper, a robust adaptive vibration control method for gantry crane system is proposed considering unknown parameters brought by unknown payload, cable length and tension. The control objective is to transport the cargo to the desired position while suppressing the vibration of the cable in the presence of unknown parameters. For this purpose, a boundary controller is designed with an adaptive law to compensate the parameter uncertainty of the system. The well‐posedness of the closed‐loop system is proved by means of operator semigroup theory and the asymptotic stability of the closed‐loop system is analyzed. Finally, the effectiveness of the proposed control approach is demonstrated through both numerical simulation comparisons and physical experiments.

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Section: Introductionmentioning

confidence: 99%

“…which implies w x (x, t) = 0. Since w(0, t) = 0 and w x (x, t) = 0, w(x, t) = 0 by using the Poincaré inequality (6). Therefore, the system (55a-e) only has the trivial solution.…”

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confidence: 99%