Stabilization, parametrization, and decoupling controller design for linear multivariable systems

Ching-An Lin*, Tung Fu Hsieh

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Linear multivariable systems are studied under the unity-feedback configuration. For plants with no coincidences of unstable poles and zeros, the authors prove a simplified condition for closed-loop stability. The simplification leads to a simple description of the set of all achievable input/output (I/O) maps and a simple parametrization of all controllers achieving the same I/O map. The results are used to study decoupling controller design for nonsquare unstable plants. They describe the set of all achievable decoupled I/O maps and prove a necessary and sufficient condition for the existence of stable decoupling controllers. Computationally simple algorithms for the design of decoupling controllers to achieve preassigned closed-loop poles and zeros are proposed.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherPubl by IEEE
Pages563-568
Number of pages6
ISBN (Print)0780304500
DOIs
StatePublished - 1 Jan 1992
EventProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) - Brighton, Engl
Duration: 11 Dec 199113 Dec 1991

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Conference

ConferenceProceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3)
CityBrighton, Engl
Period11/12/9113/12/91

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

  • Cite this

    Lin, C-A., & Hsieh, T. F. (1992). Stabilization, parametrization, and decoupling controller design for linear multivariable systems. In Proceedings of the IEEE Conference on Decision and Control (pp. 563-568). (Proceedings of the IEEE Conference on Decision and Control). Publ by IEEE. https://doi.org/10.1109/CDC.1991.261371