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

Ching-An Lin; Tung Fu Hsieh

doi:10.1109/CDC.1991.261371

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

Ching-An Lin^*, Tung Fu Hsieh

^*Corresponding author for this work

National Chiao Tung University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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 language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Publisher	Publ by IEEE
Pages	563-568
Number of pages	6
ISBN (Print)	0780304500
DOIs	https://doi.org/10.1109/CDC.1991.261371
State	Published - 1 Jan 1992
Event	Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) - Brighton, Engl Duration: 11 Dec 1991 → 13 Dec 1991

Publication series

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

Conference

Conference	Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3)
City	Brighton, Engl
Period	11/12/91 → 13/12/91

Access to Document

10.1109/CDC.1991.261371

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Cite this

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title = "Stabilization, parametrization, and decoupling controller design for linear multivariable systems",

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.",

author = "Ching-An Lin and Hsieh, {Tung Fu}",

year = "1992",

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doi = "10.1109/CDC.1991.261371",

language = "English",

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booktitle = "Proceedings of the IEEE Conference on Decision and Control",

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Lin, C-A & Hsieh, TF 1992, Stabilization, parametrization, and decoupling controller design for linear multivariable systems. in Proceedings of the IEEE Conference on Decision and Control. Proceedings of the IEEE Conference on Decision and Control, Publ by IEEE, pp. 563-568, Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3), Brighton, Engl, 11/12/91. https://doi.org/10.1109/CDC.1991.261371

Stabilization, parametrization, and decoupling controller design for linear multivariable systems. / Lin, Ching-An; Hsieh, Tung Fu.

Proceedings of the IEEE Conference on Decision and Control. Publ by IEEE, 1992. p. 563-568 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - 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.

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