Singular perturbations and time scales (SPaTS) in discrete control systems-an overview

Abstract

This paper presents an overview of recent developments in the theory of singular perturbations and time scales (SPaTS) in discrete control systems. The focus is in three directions: modeling, analysis, and control. First, sources of discrete models and the effect of the discretizing interval on the modeling are reviewed. Then the analysis of two-time scale systems is presented to bring out typical characteristic features of SPaTS. Finally, in the control of the two-time scale systems, the important issue of multirate sampling is addressed. The bibliography containing over 100 titles is included.