文献类型：期刊文献

英文题名：Improvement of the Asymptotic Properties of Zero Dynamics for Sampled-Data Systems in the Case of a Time Delay

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

第一作者：曾诚

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

机构：[1]Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China;[2]Guizhou Inst Technol, Coll Sci, Guiyang 550003, Guizhou, Peoples R China

第一机构：Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China

通信机构：corresponding author), Chongqing Univ, Coll Automat, Chongqing 400044, Peoples R China.|贵州理工学院理学院

年份：2014

卷号：2014

外文期刊名：ABSTRACT AND APPLIED ANALYSIS

收录：;Scopus(收录号：2-s2.0-84934978470);WOS:【SCI-EXPANDED(收录号:WOS:000343553100001)】；

基金：The authors gratefully acknowledge the financial support of the National Basic Research Program of China ("973" Grant no. 2013CB328903), the National Natural Science Foundation of China under Grant no. 60574003, and Natural Science Foundation Project of CQ CSTC under Project no. cstc2012jjA40026 and Project no. CDJXS12170006 supported by the Fundamental Research Funds for the Central Universities. And the authors also gratefully acknowledge the helpful comments and suggestions of the viewers, which have improved the presentation.

语种：英文

摘要：It is well known that the existence of unstable zero dynamics is recognized as a major barrier in many control systems, and deeply limits the achievable control performance. When a continuous-time system with relative degree greater than or equal to three is discretized using a zero-order hold (ZOH), at least one of the zero dynamics of the resulting sampled-data model is obviously unstable for sufficiently small sampling periods, irrespective of whether they involve time delay or not. Thus, attention is here focused on continuous-time systems with time delay and relative degree two. This paper analyzes the asymptotic behavior of zero dynamics for the sampled-data models corresponding to the continuous-time systems mentioned above, and further gives an approximate expression of the zero dynamics in the form of a power series expansion up to the third order term of sampling period. Meanwhile, the stability of the zero dynamics is discussed for sufficiently small sampling periods and a new stability condition is also derived. The ideas presented here generalize well-known results from the delay-free control system to time-delay case.