Robust State-Derivative Feedback LMI-Based Designs for Linear Descriptor Systems

Robust State-Derivative Feedback LMI-Based Designs for Linear Descriptor Systems

Techniques for stabilization of linear descriptor systems by state-derivative feedback are proposed. The methods are based on Linear Matrix Inequalities (LMIs) and assume that the plant is a controllable system with poles different from zero. They can include design constraints such as: decay rate,...

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Main Authors: Flávio A. Faria, Edvaldo Assunção, Marcelo C. M. Teixeira, Rodrigo Cardim
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2010/927362
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spelling doaj-dc5d40b02bf145d8bd1710e02671a2ca2020-11-24T22:25:32ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472010-01-01201010.1155/2010/927362927362Robust State-Derivative Feedback LMI-Based Designs for Linear Descriptor SystemsFlávio A. Faria0Edvaldo Assunção1Marcelo C. M. Teixeira2Rodrigo Cardim3Department of Electrical Engineering, Faculdade de Engenharia de Ilha Solteira, São Paulo State University (UNESP), 15385-000 Ilha Solteira, SP, BrazilDepartment of Electrical Engineering, Faculdade de Engenharia de Ilha Solteira, São Paulo State University (UNESP), 15385-000 Ilha Solteira, SP, BrazilDepartment of Electrical Engineering, Faculdade de Engenharia de Ilha Solteira, São Paulo State University (UNESP), 15385-000 Ilha Solteira, SP, BrazilDepartment of Electrical Engineering, Faculdade de Engenharia de Ilha Solteira, São Paulo State University (UNESP), 15385-000 Ilha Solteira, SP, BrazilTechniques for stabilization of linear descriptor systems by state-derivative feedback are proposed. The methods are based on Linear Matrix Inequalities (LMIs) and assume that the plant is a controllable system with poles different from zero. They can include design constraints such as: decay rate, bounds on output peak and bounds on the state-derivative feedback matrix K, and can be applied in a class of uncertain systems subject to structural failures. These designs consider a broader class of plants than the related results available in the literature. The LMI can be efficiently solved using convex programming techniques. Numerical examples illustrate the efficiency of the proposed methods.http://dx.doi.org/10.1155/2010/927362
collection DOAJ
language English
format Article
sources DOAJ
author Flávio A. Faria
Edvaldo Assunção
Marcelo C. M. Teixeira
Rodrigo Cardim
spellingShingle Flávio A. Faria
Edvaldo Assunção
Marcelo C. M. Teixeira
Rodrigo Cardim
Robust State-Derivative Feedback LMI-Based Designs for Linear Descriptor Systems
Mathematical Problems in Engineering
author_facet Flávio A. Faria
Edvaldo Assunção
Marcelo C. M. Teixeira
Rodrigo Cardim
author_sort Flávio A. Faria
title Robust State-Derivative Feedback LMI-Based Designs for Linear Descriptor Systems
title_short Robust State-Derivative Feedback LMI-Based Designs for Linear Descriptor Systems
title_full Robust State-Derivative Feedback LMI-Based Designs for Linear Descriptor Systems
title_fullStr Robust State-Derivative Feedback LMI-Based Designs for Linear Descriptor Systems
title_full_unstemmed Robust State-Derivative Feedback LMI-Based Designs for Linear Descriptor Systems
title_sort robust state-derivative feedback lmi-based designs for linear descriptor systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2010-01-01
description Techniques for stabilization of linear descriptor systems by state-derivative feedback are proposed. The methods are based on Linear Matrix Inequalities (LMIs) and assume that the plant is a controllable system with poles different from zero. They can include design constraints such as: decay rate, bounds on output peak and bounds on the state-derivative feedback matrix K, and can be applied in a class of uncertain systems subject to structural failures. These designs consider a broader class of plants than the related results available in the literature. The LMI can be efficiently solved using convex programming techniques. Numerical examples illustrate the efficiency of the proposed methods.
url http://dx.doi.org/10.1155/2010/927362
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AT edvaldoassuncao robuststatederivativefeedbacklmibaseddesignsforlineardescriptorsystems
AT marcelocmteixeira robuststatederivativefeedbacklmibaseddesignsforlineardescriptorsystems
AT rodrigocardim robuststatederivativefeedbacklmibaseddesignsforlineardescriptorsystems
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