文献类型：期刊文献

英文题名：Time discretization for a 3-dof nonlinear mass-damper-spring mechanical vibration system via taylor approach and fractional-order hold

作者：Zeng, Cheng Liang, Shan

第一作者：曾诚

机构：[1] College of Science, Guizhou Institute of Technology, No. 1, Caiguan Road, Yunyan District, Guiyang, China; [2] College of Automation, Chongqing University, No. 174, Shazheng Street, Shapingba District, Chongqing, China

第一机构：贵州理工学院理学院

年份：2015

卷号：6

期号：9

起止页码：2515-2522

外文期刊名：ICIC Express Letters, Part B: Applications

收录：EI(收录号：20153301170278);Scopus(收录号：2-s2.0-84938917231)

语种：英文

外文关键词：Dynamics - Non Newtonian flow

摘要：Time discretization approach for the development of a three degree of free- dom (3-DOF) nonlinear multivariable mass-damper-spring (MDS) mechanical vibration system is proposed. It is based on the Taylor method and fractional-order hold (FROH) assumption. In this paper, we show that the mathematical structure of the new discretiza-tion scheme is explored and characterized in order to represent the discrete dynamics behaviors for a 3-DOF nonlinear multivariable MDS mechanical vibration system. In particular, the resulting time discretization provides discrete dynamics properties for a 3-DOF nonlinear MDS mechanical vibration system, which enables the application of existing controller design techniques. The ideas presented here generalize well-known re-sults from the linear case to nonlinear plant. It is also shown that the stability of the discrete-time model, including the sampling zero dynamics, is improved compared with a zero-order hold (ZOH). ?2015 ISSN 2185-2766