文献类型：期刊文献

英文题名：Improving the stability properties of sampling zeros of multivariable discrete model via Taylor method and multirate fast sampling

作者：Zeng, Cheng Su, Yingying

第一作者：曾诚

机构：[1] College of Science, Guizhou Institute of Technology, No. 1 Caiguanlu Caijiaguan, Guiyang, China; [2] College of Automation, University of Chongqing, No. 174 Shazhengjie, Chongqing, China

第一机构：贵州理工学院理学院

年份：2014

卷号：13

起止页码：941-951

外文期刊名：WSEAS Transactions on Mathematics

收录：EI(收录号：20151700773082);Scopus(收录号：2-s2.0-84927932470)

语种：英文

外文关键词：Multivariable systems - Stability - Taylor series

摘要：It is well known that multirate input and hold, such as a generalized sample hold function (GSHF), can be used to shift the sampling zeros of a discrete-time model for a continuous-time system. This paper deals with the stability of sampling zeros, as the sampling period tends to zero, of discrete-time models that are composed of a GSHF, a continuous-time multivariable plant and a sampler in cascade. We propose a hold design that places the sampling zeros asymptotically to the stable region by deriving the approximate expressions of the sampling zeros as power series expansions with respect to a sampling period. The focus is on the evolution of the complex plant for the sampling zeros with the design parameters αj of the GSHF. These parameters are only determined to propose the GSHF that obtains sampling zeros as stable as possible, or with improved stability properties even when unstable, for a given continuous-time multivariable system. The research is extended by obtaining the optimum value of αj for sufficiently small sampling periods and a continuous-time plant, and meanwhile a new stability condition of the sampling zeros is obvious weaker than that of ZOH or FROH case. ? 2014, World Scientific and Engineering Academy and Society. All rights reserved.