Simultaneous stabilization of MIMO systems via robustly stabilizing a central plant

Abdul Wahid Saif; Da Wei Gu; Davout Kavranoglu; Lan Postlethwaite

doi:10.1109/9.983381

Simultaneous stabilization of MIMO systems via robustly stabilizing a central plant

Abdul Wahid Saif^*, Da Wei Gu, Davout Kavranoglu, Lan Postlethwaite

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

In this note, a new formulation and solution to the simultaneous stabilization problem (SSP) is given. The new method is based on finding a central plant from a set of plants to be simultaneously stabilized. The theory of robust stabilization can then be applied to the central plant with a bounded perturbation, which encapsulates the plants to be stabilized, in order to solve the SSP.

Original language	English
Pages (from-to)	363-369
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	47
Issue number	2
DOIs	https://doi.org/10.1109/9.983381
State	Published - Feb 2002

Keywords

Central plant
Generalized two-block problem
Robust stabilization
Simultaneous stabilization

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/9.983381

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title = "Simultaneous stabilization of MIMO systems via robustly stabilizing a central plant",

abstract = "In this note, a new formulation and solution to the simultaneous stabilization problem (SSP) is given. The new method is based on finding a central plant from a set of plants to be simultaneously stabilized. The theory of robust stabilization can then be applied to the central plant with a bounded perturbation, which encapsulates the plants to be stabilized, in order to solve the SSP.",

keywords = "Central plant, Generalized two-block problem, Robust stabilization, Simultaneous stabilization",

author = "Saif, \{Abdul Wahid\} and Gu, \{Da Wei\} and Davout Kavranoglu and Lan Postlethwaite",

year = "2002",

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volume = "47",

pages = "363--369",

journal = "IEEE Transactions on Automatic Control",

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T1 - Simultaneous stabilization of MIMO systems via robustly stabilizing a central plant

AU - Saif, Abdul Wahid

AU - Gu, Da Wei

AU - Kavranoglu, Davout

AU - Postlethwaite, Lan

PY - 2002/2

Y1 - 2002/2

N2 - In this note, a new formulation and solution to the simultaneous stabilization problem (SSP) is given. The new method is based on finding a central plant from a set of plants to be simultaneously stabilized. The theory of robust stabilization can then be applied to the central plant with a bounded perturbation, which encapsulates the plants to be stabilized, in order to solve the SSP.

AB - In this note, a new formulation and solution to the simultaneous stabilization problem (SSP) is given. The new method is based on finding a central plant from a set of plants to be simultaneously stabilized. The theory of robust stabilization can then be applied to the central plant with a bounded perturbation, which encapsulates the plants to be stabilized, in order to solve the SSP.

KW - Central plant

KW - Generalized two-block problem

KW - Robust stabilization

KW - Simultaneous stabilization

UR - https://www.scopus.com/pages/publications/0036475578

U2 - 10.1109/9.983381

DO - 10.1109/9.983381

M3 - Article

AN - SCOPUS:0036475578

SN - 0018-9286

VL - 47

SP - 363

EP - 369

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 2

ER -

Simultaneous stabilization of MIMO systems via robustly stabilizing a central plant

Abstract

Keywords

ASJC Scopus subject areas

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