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首页> 外文期刊>Applied Mathematical Modelling >Vibration control of micro-scale structures using their reduced second order bilinear models based on multi-moment matching criteria
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Vibration control of micro-scale structures using their reduced second order bilinear models based on multi-moment matching criteria

机译：基于多矩匹配准则的微尺度结构减化二阶双线性模型的振动控制

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This paper deals with vibration control of micro-scale structures; i.e. MEMS devices. For modeling of the structures, finite element method which is a distinguished and accurate technique will be used. This method, however, leads to a model with high number of degrees of freedom which may cause computational costs especially for control problems. Hence, we will apply the second order Krylov subspace method based on multi-moment matching to obtain a reduced order model which is in the form of a second order bilinear system. For vibration suppression of the corresponding micro-structure, a quadratic feedback controller and also a linear state feedback controller using linear matrix inequality (LMI) will be designed. Finally, a micro-cantilever beam will be considered as a practical case study and simulation results of applying the proposed method will be presented. (C) 2019 Elsevier Inc. All rights reserved.
机译：本文研究了微尺度结构的振动控制。即MEMS装置。对于结构的建模，将使用有限元方法，这是一种杰出而精确的技术。然而，这种方法导致具有高自由度的模型，这可能引起计算成本，特别是对于控制问题。因此，我们将基于多矩匹配应用二阶Krylov子空间方法，以获得二阶双线性系统形式的降阶模型。为了抑制相应的微结构的振动，将设计一个二次反馈控制器以及一个使用线性矩阵不等式（LMI）的线性状态反馈控制器。最后，将微悬臂梁作为实际案例研究，并将给出应用该方法的仿真结果。 （C）2019 Elsevier Inc.保留所有权利。

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