文献类型：期刊文献

英文题名：IMPROVING THE STABILITY OF DISCRETIZATION ZEROS WITH THE TAYLOR METHOD USING A GENERALIZATION OF THE FRACTIONAL-ORDER HOLD

作者：Zeng, Cheng Liang, Shan Zhang, Yuzhe Zhong, Jiaqi Su, Yingying

第一作者：曾诚

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

机构：[1]Guizhou Inst Technol, Guiyang 550003, Guizhou, Peoples R China;[2]Chongqing Univ, Chongqing 400044, Peoples R China;[3]Chongqing Univ, Minist Educ, Key Lab Dependable Serv Comp Cyber Phys Soc, Chongqing 400044, Peoples R China;[4]Chongqing Univ Sci & Technol, Dept Elect & Elect Informat Engn, Chongqing 401331, Peoples R China

第一机构：贵州理工学院

通信机构：corresponding author), Guizhou Inst Technol, 1 Caiguanlu, Guiyang 550003, Guizhou, Peoples R China.|贵州理工学院;

年份：2014

卷号：24

期号：4

起止页码：745-757

外文期刊名：INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE

收录：;EI(收录号：20150500470092);Scopus(收录号：2-s2.0-84921763903);WOS:【SCI-EXPANDED(收录号:WOS:000348144200004)】；

基金：This research is supported by the National Basic Research Program of China ("973" Grant No. 2013CB328903), the National Natural Science Foundation of China (No. 60574003 and No. 61403055), the Joint Funds of the Natural Science Foundation Project of Guizhou (Grant No. LH[2014]7364), the Natural Science Foundation Project of CQ CSTC (No. cstc2012jjA40026) and the Research Project of Chongqing Science & Technology Commission (cstc2014jcyjA40005).

语种：英文

外文关键词：stability; discretization zeros; Taylor method; signal reconstruction; sampled-data model

摘要：Remarkable improvements in the stability properties of discrete system zeros may be achieved by using a new design of the fractional-order hold (FROH) circuit. This paper first analyzes asymptotic behaviors of the limiting zeros, as the sampling period T tends to zero, of the sampled-data models on the basis of the normal form representation for continuous-time systems with a new hold proposed. Further, we also give the approximate expression of limiting zeros of the resulting sampled-data system as power series with respect to a sampling period up to the third order term when the relative degree of the continuous-time system is equal to three, and the corresponding stability of the discretization zeros is discussed for fast sampling rates. Of particular interest are the stability conditions of sampling zeros in the case of a new FROH even though the relative degree of a continuous-time system is greater than two, whereas the conventional FROH fails to do so. An insightful interpretation of the obtained sampled-data model can be made in terms of minimal intersample ripple by design, where multirate sampled systems have a poor intersample behavior. Our results provide a more accurate approximation for asymptotic zeros, and certain known results on asymptotic behavior of limiting zeros are shown to be particular cases of the ideas presented here.