文献类型：期刊文献

英文题名：Comparative Study of Discretization Zero Dynamics Behaviors in Two Multirate Cases

作者：Zeng, Cheng Liang, Shan

第一作者：曾诚

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

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

第一机构：贵州理工学院理学院

通信机构：corresponding author), Coll Sci, Guizhou Inst Technol, Guiyang 550003, Guizhou, Peoples R China.|贵州理工学院理学院;贵州理工学院;

年份：2015

卷号：13

期号：4

起止页码：831-842

外文期刊名：INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS

收录：;EI(收录号：20152100880834);Scopus(收录号：2-s2.0-84938740001);WOS:【SCI-EXPANDED(收录号:WOS:000358825500007)】；

基金：This work is supported by the National Basic Research Program of China ("973" Grant No. 2013CB328903), the National Natural Science Foundation of China (61403055), the Joint Funds of the Natural Science Foundation Project of Guizhou (Grant No. LH[2014]7364), the Research Project of Chongqing Science & Technology Commission (cstc2014jcyjA40005). The authors also gratefully acknowledge the helpful comments and suggestions of the reviewers, which have improved the presentation.

语种：英文

外文关键词：Multirate input; nonlinear system; sampled-data model; zero dynamics

摘要：It is well known that the existence of unstable zero dynamics is recognized as a major barrier in many control systems. When the usual digital control with zero-order hold (ZOH) or fractional-order hold (FROH) input is used, unstable zero dynamics inevitably appear in the discrete-time model even though the continuous-time system with relative degree more than two is of minimum phase. This paper investigates the zero dynamics, as the sampling period tends to zero, of sampled-data models composed of a generalized sample hold function (GSHF), a continuous-time nonlinear plant and a sampler in cascade. More precisely, we show how an approximate sampled-data model can be obtained for nonlinear systems with two special GSHF cases such that sampled zero dynamics of the resulting model can be arbitrarily placed. Further, two GSHFs with appropriate parameters provide nonlinear zero dynamics as stable as possible, or with improved stability properties even when unstable, for a given continuous-time plant. It is also shown that the intersample behavior arising from the multirate input can be localised by appropriately selecting the design parameters based on the stability condition of the zero dynamics. The results presented here generalize well-known ideas from the linear to nonlinear cases.