文献类型：期刊文献

中文题名：FROH条件下的质量-弹簧-阻尼离散系统采样零动态的稳定性

英文题名：ON STABILITY OF SAMPLING ZERO DYNAMICS FOR MASS-DAMPER-SPRING SYSTEMS USING FRACTIONAL-ORDER HOLD

作者：曾诚 梁山 苏盈盈 钟佳岐

第一作者：曾诚

机构：[1]贵州理工学院理学院;[2]重庆大学自动化学院

第一机构：贵州理工学院理学院

年份：2016

卷号：36

期号：8

起止页码：1119-1128

中文期刊名：系统科学与数学

外文期刊名：Journal of Systems Science and Mathematical Sciences

收录：CSTPCD;;北大核心:【北大核心2014】；CSCD:【CSCD2015_2016】；

基金：国家重点基础研究发展规划(2013CB328903);国家自然科学基金(60574003);贵州省科学技术基金(黔科合LH字[2014]7364号);中央高校基本科研业务费(CDJXS12170006)资助课题

语种：中文

中文关键词：质量-弹簧-阻尼系统;采样零动态;稳定性

外文关键词：Mass-damper-spring system, sampling zero dynamics, stability

摘要：针对不稳定零动态限制了控制系统可能达到的稳定性能,文章主要探讨了FROH条件下一类具有传感器和执行器非对称配置的质量-阻尼-弹簧(MDS,mass-damper-spring)系统离散时间模型采样零动态的稳定性.首先,对线性MDS多变量系统的采样零动态的渐近性质进行了详细分析,同时还给出了其线性近似表达式.此外,在充分小的采样周期T条件下,也导出了保证MDS系统采样零动态稳定的充分条件.研究表明:在线性离散MDS时间系统的采样零动态稳定性方面,FROH具有比ZOH更好的稳定性能.而且,数值例子论证了FROH能配置线性MDS系统的采样零动态到稳定区域,而在ZOH条件下线性MDS系统则具有不稳定采样零动态,这也说明FROH能增强线性MDS系统采样零动态的稳定性.
It is well-known that unstable zero dynamics limit the achievable control performance. This paper is concerned with the stability of sampling zero dynamics of discrete-time models for mass-damper-spring （MDS） systems with noncollocated sensors and actuators in the case of a fractional-order hold （FROH）. First, the asymptotic properties of the corresponding sampling zero dynamics, for a linear discretetime model of a mass-damper-spring system with a FROH, are carefully analyzed for a sufficiently small sampling period and the linear approximate expressions are also obtained. In addition, the linear approximate expressions with respect to the sampling period lead to a sufficient condition for the sampling zero dynamics of the discrete-time model to lie inside the unit circle for sufficiently small sampling periods. It is shown that a FROH can obtain the better stable performance than a ZOH in terms of the stability of sampling zero dynamics for the linear discrete-time MDS plants. Further, some numerical examples illustrate to improve the stability proper- ties of FROH zero dynamics, and locates the sampling zero dynamics of discrete-time models for MDS systems inside the stable region while the zero-order hold （ZOH） fails to do so. Moreover, the examples are also shown to demonstrate a significant improvement of control performance in the case of a FROH, compared with the use of a ZOH.