Necessary and sufficient conditions for existence of decoupling controllers

Ching-An Lin*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

4 Scopus citations


It is well known that if the plant is free from coincidences of poles and zeros in the right half plane then it can be decoupled with internal stability under unity-feedback configuration. We consider plants for which such coincidences do occur and give necessary and sufficient conditions under which stabilizing decoupling controllers exist. The conditions are explicit and can be easily checked; essentially the only computation required is the inverse of a rational matrix.

Original languageEnglish
Article number478640
Pages (from-to)3200-3202
Number of pages3
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 13 Dec 1995
EventProceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA
Duration: 13 Dec 199515 Dec 1995

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