文献类型：期刊文献

英文题名：Improving the Stability Behavior of Limiting Zeros for Multivariable Systems Based on Multirate Sampling

作者：Zeng, Cheng Liang, Shan Xiang, Shuwen

第一作者：曾诚

通信作者：Zeng, C[1];Xiang, SW[1]|[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, Guizhou, Peoples R China;[3]Chongqing Univ, Coll Automat, Chongqing 400044, 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.|贵州理工学院理学院

年份：2018

卷号：16

期号：6

起止页码：2621-2633

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

收录：;EI(收录号：20184806149573);Scopus(收录号：2-s2.0-85057165075);WOS:【SCI-EXPANDED(收录号:WOS:000452326500005)】；

基金：This work is supported by the National Natural Science Foundation of China (61763004) and the Joint Funds of the Natural Science Foundation Project of Guizhou (Grant No. LH[2014]7362). 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：Limiting zeros; multirate input and hold; multivariable systems; sampled-data models; stability

摘要：It is well-known that existence of unstable sampling zeros is recognized as a major barrier in many control problems, and stability of sampling zeros, in general, depends on the type of hold circuit used to generate the continuous-time system input. This paper is concerned with stability of limiting zeros, as the sampling period tends to zero, of multivariable sampled-data models composed of a generalized sample hold function (GSHF), a continuous-time plant with the relative degrees being two and three, and a sampler in cascade. In particular, the main focus of the paper is how to preserve the stability of limiting zeros when at least one of the relative degrees of a multivariable system is more than two. In this case, the asymptotic properties of the limiting zeros on the basis of normal form representation of continuous-time systems are analyzed and approximate expressions for their stability are discussed as power series expansions with respect to a sufficiently small sampling period. More importantly, unstable sampling zeros of the sampled-data models mentioned above can be avoided successfully through the contribution of this paper, whereas a zero-order hold (ZOH) or a fractional-order hold (FROH) fails to do so. It is a further extension of previous results for single-input single-output cases to multivariable systems.