文献类型：期刊文献

英文题名：Asymptotic properties of zero dynamics for nonlinear discretized systems with time delay via Taylor method

作者：Zeng, Cheng Liang, Shan Li, Hongbing

第一作者：曾诚

通信作者：Liang, S[1]

机构：[1]Guizhou Inst Technol, Coll Sci, Guiyang 550003, Guizhou, Peoples R China;[2]Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China;[3]Chongqing Three Gorges Univ, Coll Comp Sci & Engn, Chongqing 404000, Peoples R China

第一机构：贵州理工学院理学院

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

年份：2015

卷号：79

期号：2

起止页码：1481-1493

外文期刊名：NONLINEAR DYNAMICS

收录：;EI(收录号：20144500162749);Scopus(收录号：2-s2.0-84925538975);WOS:【SCI-EXPANDED(收录号:WOS:000348315100050)】；

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 No. 60574003, Natural Science Foundation Project of CQ CSTC under Project No. cstc2012jjA40026, the Joint Funds of the Natural Science Foundation of Guizhou (Gramt No, 2014GZ80427) and CDJXS12170006 Supported by the Fundamental Research Funds for the Central Universities. 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 sampled-data model; Zero dynamics; Zero-order hold; Time discretization; Taylor method; Time delay; Stability properties

摘要：Most real world plants often operate in continuous-time case and involve time delay. These models are typically described by ordinary differential equations. However, to utilize and analyze these data, the control signals must first be discretized. In this paper, a new discretization method for obtaining an approximate sampled-data model of a nonlinear continuous-time system with time delay is proposed. The presented approach is based on the Taylor method and zero-order hold assumption, which can be used to approximate the system output and its derivatives in such a way as to obtain a local truncation error between the output of the resulting sampled-data model and true continuous-time system output. More importantly, on the basis of this discretized representation, we explicitly derive the mathematical structure of nonlinear discrete-time zero dynamics in the case of time delay. The main contribution is to analyze the stability of sampling zero dynamics for the proposed model with time delay. The ideas presented here generalize the well-known results from the linear system to nonlinear case.