Study on LQR control algorithm using superelement model

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• 作者：Qiang Xu 徐强 ; Jian-yun Chen 陈健云 ; Jing Li 李静…
• 关键词：Key wordslinear quadratic regulator (LQR) ; control algorithm ; component mode synthesis (CMS) ; Craig ; Bampton (C ; B) method ; superelement ; vibration control
• 刊名：Journal of Central South University
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：23
• 期：9
• 页码：2429-2442
• 全文大小：4,211 KB
• 刊物类别：Engineering
• 刊物主题：Engineering, general
  Metallic Materials
  Chinese Library of Science
  
• 出版者：Central South University, co-published with Springer
• ISSN：2227-5223
• 卷排序：23

文摘

The conventional linear quadratic regulator (LQR) control algorithm is one of the most popular active control algorithms. One important issue for LQR control algorithm is the reduction of structure’s degrees of freedom (DOF). In this work, an LQR control algorithm with superelement model is intended to solve this issue leading to the fact that LQR control algorithm can be used in large finite element (FE) model for structure. In proposed model, the Craig-Bampton (C-B) method, which is one of the component mode syntheses (CMS), is used to establish superelement modeling to reduce structure’s DOF and applied to LQR control algorithm to calculate Kalman gain matrix and obtain control forces. And then, the control forces are applied to original structure to simulate the responses of structure by vibration control. And some examples are given. The results show the computational efficiency of proposed model using synthesized models is higher than that of the classical method of LQR control when the DOF of structure is large. And the accuracy of proposed model is well. Meanwhile, the results show that the proposed control has more effects of vibration absorption on the ground structures than underground structures.