Robust High-gain Feedback Control of Infinite-Dimensional Minimum-Phase Systems

1 September 1987

journal article
Published by Oxford University Press (OUP) in IMA Journal of Mathematical Control and Information

Vol. 4 (3) , 195-220
https://doi.org/10.1093/imamci/4.3.195

Abstract

This paper deals with a certain class of infinite-dimensional minimum-phase systems. We show that these systems can be stabilized by multivariable PT-controllers with sufficiently high gains; it turns out that the P1-controllers under consideration achieve almost decoupling and almost perfect tracking at high gain. Further, we prove several sufficient conditions for robust stability. Two results on pole-zero cancellations and closed-loop stability, which are used throughout the paper, may be of independent interest.

Keywords

ROBUST HIGH
MINIMUM PHASE
DIMENSIONAL MINIMUM
INFINITE DIMENSIONAL
GAIN FEEDBACK
PHASE SYSTEMS
HIGH GAIN

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