A Generalized Framework of Linear Multivariable Control /

A Generalized Framework of Linear Multivariable Control proposes a number of generalized models by using the generalized inverse of matrix, while the usual linear multivariable control theory relies on some regular models. The book supports that in H-infinity control, the linear fractional transform...

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Main Authors: Tan, Liansheng, author 649523, ScienceDirect (Online service) 7722
Format: software, multimedia
Language:eng
Published: Oxford, United Kingdom : Butterworth-Heinemann is an imprint of Elsevier, 2017
Subjects:
Online Access:https://www.sciencedirect.com/science/book/9780081019467
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author Tan, Liansheng, author 649523
ScienceDirect (Online service) 7722
author_facet Tan, Liansheng, author 649523
ScienceDirect (Online service) 7722
author_sort Tan, Liansheng, author 649523
collection OCEAN
description A Generalized Framework of Linear Multivariable Control proposes a number of generalized models by using the generalized inverse of matrix, while the usual linear multivariable control theory relies on some regular models. The book supports that in H-infinity control, the linear fractional transformation formulation is relying on the inverse of the block matrix. If the block matrix is not regular, the H-infinity control does not apply any more in the normal framework. Therefore, it is very important to relax those restrictions to generalize the classical notions and models to include some non-regular cases.
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institution Universiti Teknologi Malaysia - OCEAN
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publisher Oxford, United Kingdom : Butterworth-Heinemann is an imprint of Elsevier,
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spelling KOHA-OAI-TEST:6041752023-10-16T03:48:07ZA Generalized Framework of Linear Multivariable Control / Tan, Liansheng, author 649523 ScienceDirect (Online service) 7722 software, multimedia Electronic books 631902 Oxford, United Kingdom : Butterworth-Heinemann is an imprint of Elsevier,©20172017engA Generalized Framework of Linear Multivariable Control proposes a number of generalized models by using the generalized inverse of matrix, while the usual linear multivariable control theory relies on some regular models. The book supports that in H-infinity control, the linear fractional transformation formulation is relying on the inverse of the block matrix. If the block matrix is not regular, the H-infinity control does not apply any more in the normal framework. Therefore, it is very important to relax those restrictions to generalize the classical notions and models to include some non-regular cases.Includes bibliographical references and index1 - Introduction -- 2 - Mathematical preliminaries -- 3 - Generalized inverse of matrix and solution of linear system equation -- 4 - Polynomial fraction description -- 5 - Stability -- 6 - Fundamental approaches to control system analysis -- 7 - Determination of finite and infinite frequency structure of a rational matrix -- 8 - The solution of a regular PMD and the set of impulsive free initial conditions -- 9 - A refined resolvent decomposition of a regular polynomial matrix and application to the solution of regular PMDs -- 10 - Frequency structures of generalized companion form and application to the solution of regular PMDs -- 11 - A generalized chain-scattering representation and its algebraic system properties -- 12 - Realization of behavior -- 13 - Related extensions to system well-posedness and internal stability -- 14 - Nonstandard H∞ control problem: A generalized chain-scattering representation approach -- 15 - Internet congestion control: A linear multivariable control look -- 16 - Conclusions and further research.A Generalized Framework of Linear Multivariable Control proposes a number of generalized models by using the generalized inverse of matrix, while the usual linear multivariable control theory relies on some regular models. The book supports that in H-infinity control, the linear fractional transformation formulation is relying on the inverse of the block matrix. If the block matrix is not regular, the H-infinity control does not apply any more in the normal framework. Therefore, it is very important to relax those restrictions to generalize the classical notions and models to include some non-regular cases.Control theoryAlgebras, Linearhttps://www.sciencedirect.com/science/book/9780081019467URN:ISBN:9780081019467Remote access restricted to users with a valid UTM ID via VPN.
spellingShingle Control theory
Algebras, Linear
Tan, Liansheng, author 649523
ScienceDirect (Online service) 7722
A Generalized Framework of Linear Multivariable Control /
title A Generalized Framework of Linear Multivariable Control /
title_full A Generalized Framework of Linear Multivariable Control /
title_fullStr A Generalized Framework of Linear Multivariable Control /
title_full_unstemmed A Generalized Framework of Linear Multivariable Control /
title_short A Generalized Framework of Linear Multivariable Control /
title_sort generalized framework of linear multivariable control
topic Control theory
Algebras, Linear
url https://www.sciencedirect.com/science/book/9780081019467
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