NONPATHOLOGICAL SAMPLING FOR GENERALIZED SAMPLED-DATA HOLD FUNCTIONS

被引：53

作者：

MIDDLETON, R ^{[1
]}

FREUDENBERG, J ^{[1
]}

机构：

[1] UNIV MICHIGAN,DEPT ELECT ENGN & COMP SCI,ANN ARBOR,MI 48109

来源：

AUTOMATICA | 1995年 / 31卷 / 02期

关键词：

CONTROL SYSTEMS ANALYSIS; DIGITAL CONTROL; DISCRETE-TIME SYSTEMS; SAMPLED-DATA SYSTEMS;

D O I：

10.1016/0005-1098(94)00095-Z

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Given a generalized sampled-data hold function (GSHF), we define a frequency dependent response function having many properties analogous to those of a transfer function. In particular, the zeros of the response function have transmission blocking properties. We then study the problem of non-pathological sampling with a GSHF. Sampling is said to be pathological if the discretized version of a stabilizable/detectable continuous time plant is not itself stabilizable and detectable. Sufficient conditions for non pathological sampling with a zero order hold have long been known. We extend these to the case of a GSHF, and describe the role in non-pathological sampling played by right half plane zeros of the response function. The results are presented for square multivariable linear systems and include a generalization to allow for a time delay.

引用

页码：315 / 319

页数：5