Multivariable Singularly-Perturbed Systems with Small Time Delays

Abstract

It is well known that time delays, even + though very short, can cause instability + problems in some feedback loops. The H(s,c) problem seems to be worst when there are many high-frequency modes present [e.g. 1] In [2] the effect of small time delays on closed-loop system stability, for single variable systems, is determined by observing open-loop behavior at high Figure 1 frequency. This paper treats a related multivariable problem, outlined as follows. Let H(s,E) be the transfer matrix of the singularly-perturbed system (1).