Necessary and sufficient conditions for existence of decoupling controllers

Ching-An Lin

doi:10.1109/CDC.1995.478640

Necessary and sufficient conditions for existence of decoupling controllers

Ching-An Lin^*

^*Corresponding author for this work

National Chiao Tung University

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

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 language	English
Pages (from-to)	3200-3202
Number of pages	3
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	3
DOIs	https://doi.org/10.1109/CDC.1995.478640
State	Published - 1 Dec 1995
Event	Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA Duration: 13 Dec 1995 → 15 Dec 1995

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abstract = "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.",

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AB - 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.

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