Strong stabilization of mimo systems: An LMI approach

Abdul Wahid A. Saif

doi:10.1109/SSD.2009.4956722

Strong stabilization of mimo systems: An LMI approach

Abdul Wahid A. Saif

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

5 Scopus citations

Abstract

In this paper, the strong stabilization problem of proper and non-minimum phase linear time-invariant multivariable systems is considered. The formulation of the problem resulted in a sufficient condition in a form of linear matrix inequality (LMI) which will be solved using MATLAB LMI Toolbox. A necessary and sufficient condition is given in a form of quadratic matrix inequality, (QMI). It is proved that the solution of the linear part of the QMI satisfies the QMI.

Original language	English
Title of host publication	2009 6th International Multi-Conference on Systems, Signals and Devices, SSD 2009
DOIs	https://doi.org/10.1109/SSD.2009.4956722
State	Published - 2009

Publication series

Name	2009 6th International Multi-Conference on Systems, Signals and Devices, SSD 2009

Keywords

LMI
QMI
Stable controllers
Strong stabilization

ASJC Scopus subject areas

Hardware and Architecture
Signal Processing
Control and Systems Engineering
Electrical and Electronic Engineering

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10.1109/SSD.2009.4956722

Cite this

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title = "Strong stabilization of mimo systems: An LMI approach",

abstract = "In this paper, the strong stabilization problem of proper and non-minimum phase linear time-invariant multivariable systems is considered. The formulation of the problem resulted in a sufficient condition in a form of linear matrix inequality (LMI) which will be solved using MATLAB LMI Toolbox. A necessary and sufficient condition is given in a form of quadratic matrix inequality, (QMI). It is proved that the solution of the linear part of the QMI satisfies the QMI.",

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T2 - An LMI approach

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AB - In this paper, the strong stabilization problem of proper and non-minimum phase linear time-invariant multivariable systems is considered. The formulation of the problem resulted in a sufficient condition in a form of linear matrix inequality (LMI) which will be solved using MATLAB LMI Toolbox. A necessary and sufficient condition is given in a form of quadratic matrix inequality, (QMI). It is proved that the solution of the linear part of the QMI satisfies the QMI.

KW - LMI

KW - QMI

KW - Stable controllers

KW - Strong stabilization

UR - https://www.scopus.com/pages/publications/67650541716

U2 - 10.1109/SSD.2009.4956722

DO - 10.1109/SSD.2009.4956722

M3 - Conference contribution

AN - SCOPUS:67650541716

SN - 9781424443468

T3 - 2009 6th International Multi-Conference on Systems, Signals and Devices, SSD 2009

BT - 2009 6th International Multi-Conference on Systems, Signals and Devices, SSD 2009

ER -

Strong stabilization of mimo systems: An LMI approach

Abstract

Publication series

Keywords

ASJC Scopus subject areas

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