文献类型：期刊文献

英文题名：Zero dynamics of sampled-data models for nonlinear multivariable systems in fractional-order hold case

作者：Zeng, Cheng Liang, Shan

第一作者：曾诚

通信作者：Liang, S[1]

机构：[1]Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China;[2]Guizhou Inst Technol, Coll Sci, Guiyang 550003, Peoples R China

第一机构：Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China

通信机构：corresponding author), Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China.

年份：2014

卷号：246

起止页码：88-102

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;EI(收录号：20143900072164);Scopus(收录号：2-s2.0-84906726925);WOS:【SCI-EXPANDED(收录号:WOS:000344473300009)】；

基金：The authors gratefully acknowledge the financial support of the National Basic Research Program of China ("973'' Grant No. 2013CB328903), the National Natural Science Foundation of China under grant number 60574003, Natural Science Foundation Project of CQ CSTC under project number cstc2012jjA40026, and Project No. CDJXS12170006 Supported by the Fundamental Research Funds for the Central Universities. And the authors also gratefully acknowledge the helpful comments and suggestions of the viewers, which have improved the presentation.

语种：英文

外文关键词：Nonlinear multivariable system; Sampled-data models; Zero dynamics; Fractional-order hold; Stability

摘要：The paper is concerned with the properties of approximate sampled-data models and their zero dynamics, as the sampling period tends to zero, composed of a fractional order hold (FROH), a continuous-time multivariable plant and a sampler in cascade. The emphasis of this paper is the stability of discrete zero dynamics with the generalized gain beta of the FROH, where we also present a condition to assure the stability of the sampling zero dynamics, which they have no counterpart in the underlying continuous-time system, of the resulting model. Similar to the linear case, the parameter beta is the only factor in affecting the stability of discrete zero dynamics, and the appropriate beta is determined to obtain the FROH that provides zero dynamics as stable as possible, or with improved stability properties even when unstable, for a given continuous-time multivariable plant. The study is also shown that the stability of the sampling zero dynamics is improved compared with a zero-order hold (ZOH). (C) 2014 Elsevier Inc. All rights reserved.