A singular perturbation analysis of high-gain feedback systems

1977365 citationsJournal Article

Authors

K.D. Young · University of Illinois Urbana-Champaign

P.V. Kokotović · University of Illinois System

Vadim Utkin · V. A. Trapeznikov Institute of Control Sciences

Abstract

In this paper a singular perturbation approach is used to unify a class of classical and recent results on high-gain systems and to show their relationships with multivariable transmission zero analysis, cheap control problems, and sliding mode in variable structure systems. A new pole placement method and a decomposition of near optimal high-gain regulator problems are presented.

Topics & Keywords

Numerical methods for differential equations Stability and Control of Uncertain Systems Extremum Seeking Control Systems

UN Sustainable Development Goals

Climate action

Publication Details

Published in: IEEE Transactions on Automatic Control

Volume 22, Issue 6, pp. 931-938

DOI: 10.1109/tac.1977.1101661

Field-Weighted Citation Impact: 6.68