文献类型：期刊文献

中文题名：Nonlinear Sampled-Data Systems with a Generalized Hold Polynomial-Function for Fast Sampling Rates

英文题名：Nonlinear Sampled-Data Systems with a Generalized Hold Polynomial-Function for Fast Sampling Rates

作者：Zeng, Cheng Xiang, Shuwen He, Yi Ding, Qianqian

第一作者：Zeng, Cheng

通信作者：Zeng, C[1];Zeng, C[2]|[14440724ae58632e7c57f]曾诚;

机构：[1]Guizhou Univ, Coll Comp Sci & Technol, Guiyang 550025, Guizhou, Peoples R China;[2]Guizhou Inst Technol, Sch Sci, Guiyang 550003, Peoples R China;[3]Guizhou Univ, Sch Math & Stat, Guiyang 550025, Guizhou, Peoples R China;[4]Guiyang Univ, Coll Math & Informat Sci, Guiyang 550005, Guizhou, Peoples R China

第一机构：Guizhou Univ, Coll Comp Sci & Technol, Guiyang 550025, Guizhou, Peoples R China

通信机构：corresponding author), Guizhou Univ, Coll Comp Sci & Technol, Guiyang 550025, Guizhou, Peoples R China;corresponding author), Guizhou Inst Technol, Sch Sci, Guiyang 550003, Peoples R China.|贵州理工学院理学院;贵州理工学院;

年份：2019

卷号：32

期号：6

起止页码：1572-1596

中文期刊名：系统科学与复杂性学报：英文版

外文期刊名：JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY

收录：;EI(收录号：20195007837197);Scopus(收录号：2-s2.0-85076272952);WOS:【SCI-EXPANDED(收录号:WOS:000502503600006)】；CSCD:【CSCD2019_2020】；PubMed;

基金：This research was supported by the National Natural Science Foundation of China under Grant No. 61763004, the Joint Funds of the Natural Science Foundation Project of Guizhou under Grant No. LH[2014]7362, and the Ph.D Launch Scientific Research Projects of Guizhou Institute Technology under Grant No. 2014.

语种：英文

中文关键词：Generalized hold polynomial function;nonlinear sampled-data models;stability;Taylor approach;zero dynamics

外文关键词：Generalized hold polynomial function; nonlinear sampled-data models; stability; Taylor approach; zero dynamics

摘要：It is well-known that such non-conventional digital control schemes,such as generalized sampled-data hold functions,have clear advantages over the conventional single-rate digital control systems.However,they have theoretical negative aspects that deviation of the input can lead to intersample oscillations or intersample ripples.This paper investigates the zero dynamics of sampleddata models,as the sampling period tends to zero,composed of a new generalized hold polynomial function,a nonlinear continuous-time plant and a sampler in cascade.For a new design of generalized hold circuit,the authors give the approximate expression of the resulting sampled-data systems as power series with respect to a sampling period up to the some order term on the basis of the normal form representation for the nonlinear continuous-time systems,and remarkable improvements in the stability properties of discrete system zero dynamics may be achieved by using proper adj us tment.Of particular interest are the stability conditions of sampling zero dynamics in the case of a new hold proposed.Also,an insightful interpretation of the obtained sampled-data models can be made in terms of minimal intersample ripple by design,where the ordinary multirate sampled systems have a poor intersample behavior.It has shown that the intersample behavior arising from the multirate input polynomial function can be localised by appropriately selecting the design parameters based on the stability condition of the sampling zero dynamics.The results presen ted here generalize the well-known notion of sampling zero dynamics from the linear case to nonlinear systems.
It is well-known that such non-conventional digital control schemes, such as generalized sampled-data hold functions, have clear advantages over the conventional single-rate digital control systems. However, they have theoretical negative aspects that deviation of the input can lead to intersample oscillations or intersample ripples. This paper investigates the zero dynamics of sampled-data models, as the sampling period tends to zero, composed of a new generalized hold polynomial function, a nonlinear continuous-time plant and a sampler in cascade. For a new design of generalized hold circuit, the authors give the approximate expression of the resulting sampled-data systems as power series with respect to a sampling period up to the some order term on the basis of the normal form representation for the nonlinear continuous-time systems, and remarkable improvements in the stability properties of discrete system zero dynamics may be achieved by using proper adjustment. Of particular interest are the stability conditions of sampling zero dynamics in the case of a new hold proposed. Also, an insightful interpretation of the obtained sampled-data models can be made in terms of minimal intersample ripple by design, where the ordinary multirate sampled systems have a poor intersample behavior. It has shown that the intersample behavior arising from the multirate input polynomial function can be localised by appropriately selecting the design parameters based on the stability condition of the sampling zero dynamics. The results presented here generalize the well-known notion of sampling zero dynamics from the linear case to nonlinear systems.