Stabilization parameterization, and decoupling controller design for linear multivariable systems

Ching-An Lin*, Tung Fu Hsieh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We study linear multivariable systems under the unity-feedback configuration. For nonsquare plants with no coincidences of unstable poles and zeros, we prove a simplified condition for closed-loop stability. The simplification leads to a simple description of the set of all achievable I/O maps and a simple parameterization of all controllers achieving the same I/O map. The results are used to describe the set of all achievable decoupled I/O maps and prove a necessary and sufficient condition for the existence of stable decoupling controllers.

Original languageEnglish
Pages (from-to)620-625
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume38
Issue number4
DOIs
StatePublished - 1 Apr 1993

Fingerprint Dive into the research topics of 'Stabilization parameterization, and decoupling controller design for linear multivariable systems'. Together they form a unique fingerprint.

Cite this