文献类型：期刊文献

英文题名：A Sufficient and Necessary Condition for Stabilization of Zeros in Discrete-Time Multirate Sampled Systems

作者：Zeng, Cheng Su, Yingying Liang, Shan

第一作者：曾诚

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

机构：[1]Guizhou Inst Technol, Coll Sci, Guiyang 550003, Guizhou, Peoples R China;[2]Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China;[3]Chongqing Univ Sci & Technol, Dept Elect & Elect Informat Engn, Chongqing 401331, 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, Guizhou, Peoples R China;corresponding author), Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China.|贵州理工学院理学院;贵州理工学院;

年份：2017

卷号：51

期号：1

起止页码：42-49

外文期刊名：AUTOMATIC CONTROL AND COMPUTER SCIENCES

收录：EI(收录号：20174504377881);Scopus(收录号：2-s2.0-85032958070);WOS:【ESCI(收录号:WOS:000398981200005)】；

基金：This work is supported by the National Basic Research Program of China ("973" Grant no. 2013CB328903), the National Science Foundation of China (60574003, 61403055), the Joint Funds of the Natural Science Foundation Project of Guizhou (Grant nos. LH [2014]7364, LH [2014]7362 and LKG [2013]46), the Research Project of Chongqing Science and Technology Commission (cstc2014jcy-jA40005). The authors also gratefully acknowledge the helpful comments and suggestions of the viewers, which have improved the presentation.

语种：英文

外文关键词：multirate input and hold; generalized sampled-data hold function; stability; sampling zero; asymptotic behavior MR(2010)

摘要：It is well known that the presence of unstable zeros limits the control performance, which can be achieved, and some control schemes cannot be directly applied. This manuscript investigates a sufficient condition for stabilization of zeros in the discrete-time multirate sampled systems. It is shown that the discretization zeros, especially sampling zeros, can be arbitrarily placed inside the unit circle in the case of relative degree being greater than or equal to three and multirate input and hold, such as generalized sampled-data hold function (GSHF), for the linear continuous-time systems when the sampling period T tends to zero. Moreover, the authors further consider the multivariable case, which has a similar asymptotic behavior. Finally, the simulation proves the validity of the method, and we also propose a hold design that places the sampling zeros asymptotically to the origin for fast sampling rates.