文献类型：期刊文献

英文题名：Asymptotic Symmetry Behavior for a Sampled Data Model via Fractional-Order Hold and Delta Operators

作者：Chi, Nan Zeng, Cheng

第一作者：迟楠

通信作者：Zeng, C[1];Zeng, C[2];Zeng, C[3]|[14440ecadca9d1bad462b]曾诚;[144405c321a0c37f81ffa]曾诚;

机构：[1]Guizhou Inst Technol, Coll Sci, Guiyang 550003, Peoples R China;[2]Key Lab New Power Syst Operat Control Guizhou Prov, Guiyang 550003, Peoples R China;[3]Special Key Lab Artificial Intelligence & Intellig, Guiyang 550003, 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 550003, Peoples R China;corresponding author), Key Lab New Power Syst Operat Control Guizhou Prov, Guiyang 550003, Peoples R China;corresponding author), Special Key Lab Artificial Intelligence & Intellig, Guiyang 550003, Peoples R China.|贵州理工学院理学院;贵州理工学院;

年份：2025

卷号：17

期号：11

外文期刊名：SYMMETRY-BASEL

收录：;Scopus(收录号：2-s2.0-105023161613);WOS:【SCI-EXPANDED(收录号:WOS:001624387500001)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant 62163008 and 61763004, Qiankehe Platform ZSYS[2025]007, the Guizhou Provincial Science and Technology Projects [2020]1Z054, and PhD start-up fund of Guizhou Institute of Technology under Grant XJGC20150411.

语种：英文

外文关键词：symmetry sampled-data model; discretization zero dynamics; n-th order integrator; fractional-order hold; normal form; system identification

摘要：Controllers designed on the basis of an approximate discrete time model can fail when they are applied to the real processes. This is a problem of interest in adaptive symmetry control system theory. In this paper, we introduce the certain polynomial for discretizing the n-th order integrator in the case of a fractional-order hold (FROH) and delta operator. Moreover, the corresponding FROH discretization pulse transfer function and sampling data model in normal form are derived. On the basis of these results, we present FROH discrete system zero dynamics and sampling zero dynamics where their asymptotic symmetry properties are obtained. In addition, the implications incorporating sampling zero dynamics in the discrete-time models used for system identification become evident as the sampling period approaches zero. It is a further extension of the corresponding results.