摘要
针对一阶保持器(first-order hold,FOH)条件,分析了n阶积分器的离散采样模型,导出了相应的FOH离散脉冲函数和离散时间模型的标准形描述。在此基础上,探寻了离散时间零点的渐近性质,以及离散标准形模型的采样零点条件。特别地,当采样周期T→0时,研究并且描述了线性n阶积分器的离散系统零点的稳定特性和稳定准则。所给出的定理是对相关结果的进一步推广。
This paper analyzes the sampled-data model of n-th order integrator in the case of a first-order hold （FOH）. Mso, the corresponding FOH discretization pulse transfer function and sampling model in normal form are derived. On the basis of these results, we present discrete system zeros and sampling zeros which their asymptotic properties are obtained. In additional, stability of discrete-time zeros for n-th order integrator model is represented as the sampling period T tends to zero. It is a further extension of corresponding results.
作者
李修云
曾诚
Xiu-yun LI;Cheng ZENG(Chongqing Vocational Institrute of Engineering,Chongqing 402260,China;College of Science,Guizhou Institute Technology,Guiyang 550003,China)
出处
《机床与液压》
北大核心
2017年第24期106-112,共7页
Machine Tool & Hydraulics
基金
supported by the National Natural Science Foundation of China(No.61763004)
the Natural Science Foundation of Chongqing Municipal Education Commission,China(No.KJ1503306)
关键词
采样数据模型
离散系统零点
n阶积分器
一阶保持器
标准形
Sampled-data model, Discrete system zeros, n-th order integrator, First-order hold, Normal form
