文献类型：期刊文献

英文题名：Asymptotic behaviours and stability of zero dynamics in nonlinear discrete-time systems using Taylor approach and multirate input

作者：Zeng, Cheng Xiang, Shuwen Liang, Shan

第一作者：Zeng, Cheng

通信作者：Zeng, C[1]|[14440724ae58632e7c57f]曾诚;

机构：[1]Guizhou Inst Technol, Coll Sci, Guiyang, Guizhou, Peoples R China;[2]Guizhou Univ, Coll Comp Sci & Technol, Guiyang, Guizhou, Peoples R China;[3]Chongqing Univ, Coll Automat, Chongqing, Peoples R China

第一机构：贵州理工学院理学院

通信机构：corresponding author), Guizhou Inst Technol, Coll Sci, Guiyang, Guizhou, Peoples R China.|贵州理工学院理学院;贵州理工学院;

年份：2017

卷号：48

期号：7

起止页码：1556-1568

外文期刊名：INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE

收录：;EI(收录号：20170203237496);Scopus(收录号：2-s2.0-85008698017);WOS:【SCI-EXPANDED(收录号:WOS:000396822800019)】；

基金：National Basic Research Program of China ['973' Grant Number 2013CB328903); National Natural Science Foundation of China [Grant Number 11501143; Joint Funds of the Natural Science Foundation Project of Guizhou [Grant Number LH[2014]7362; the Ph.D launch scientific research projects of Guizhou Institute Technology [Grant Number 2014].

语种：英文

外文关键词：Nonlinear systems; stability; discrete time systems; zero dynamics; generalised sample hold function

摘要：It is well known that the existence of unstable sampled zero dynamics is recognised as a major barrier in many control problems. When the usual digital control with zero-order hold (ZOH) or fractional-order hold (FROH) input is used, unstable sampled zero dynamics inevitably appear in the discrete-time model even though the continuous-time system with relative degree more than or equal to three is of minimum phase. In this paper, we show how an approximate sampled-data model can be obtained for nonlinear systems by the use of multirate input and hold such as a generalised sample hold function (GSHF) in order that discrete zero dynamics of the resulting model can be arbitrarily placed. Furthermore, the properties of sampled zero dynamics are studied and the conditions for ensuring the stability of sampling zero dynamics of the desired model are derived. The results presented here generalise well-known notion of sampling zero dynamics from the linear case to nonlinear systems, and GSHF can provide some advantages over ZOH or FROH in terms of stability of discrete system zero dynamics.