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...
Main Authors: | , |
---|---|
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 |
_version_ | 1796764936260550656 |
---|---|
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. |
first_indexed | 2024-03-05T17:17:08Z |
format | software, multimedia |
id | KOHA-OAI-TEST:604175 |
institution | Universiti Teknologi Malaysia - OCEAN |
language | eng |
last_indexed | 2024-03-05T17:17:08Z |
publishDate | 2017 |
publisher | Oxford, United Kingdom : Butterworth-Heinemann is an imprint of Elsevier, |
record_format | dspace |
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 |
work_keys_str_mv | AT tanlianshengauthor649523 ageneralizedframeworkoflinearmultivariablecontrol AT sciencedirectonlineservice7722 ageneralizedframeworkoflinearmultivariablecontrol AT tanlianshengauthor649523 generalizedframeworkoflinearmultivariablecontrol AT sciencedirectonlineservice7722 generalizedframeworkoflinearmultivariablecontrol |