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Three-dimensional vibration suppression for an Euler–Bernoulli beam with asymmetric output constraint
Journal of the Franklin Institute ( IF 4.1 ) Pub Date : 2021-03-01 , DOI: 10.1016/j.jfranklin.2021.02.020
Zhe Jing , Xiuyu He , Zhijie Liu , Shuang Zhang , Wen Kang

A vibration control strategy is addressed for the three-dimensional vibration suppression of an Euler-Bernoulli beam (EBB) subject to asymmetric output constraints in this paper. A special piecewise barrier Lyapunov function candidate is provided to prevent the asymmetric output constraint violation, and a model-based boundary control (MBC) is developed subsequently to ensure the coupled vibration reduction. Moreover, considering the parameter uncertainties, an adaptive law is designed to estimate the uncertain parameter and to update the vibration controller. The main challenge of this work is to consider the asymmetric output constraint in a nonlinear and coupled infinite-dimensional system. Finally, numerical simulations are made to present the system performance under the proposed vibration controllers which maintain the output being restrained in the predefined scope.



中文翻译:

具有非对称输出约束的欧拉-伯努利梁的三维振动抑制

本文针对不对称输出约束的欧拉-伯努利梁(EBB)三维振动抑制提出了一种振动控制策略。提供了特殊的分段屏障Lyapunov函数候选对象,以防止违反非对称输出约束,随后开发了基于模型的边界控制(MBC)以确保减少耦合振动。此外,考虑到参数不确定性,设计了一种自适应律来估计不确定性参数并更新振动控制器。这项工作的主要挑战是考虑非线性和耦合无限维系统中的不对称输出约束。最后,

更新日期:2021-04-29
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