Minimum Entropy H∞ Control [electronic resource] /

This monograph is concerned with the design of feedback controllers for linear multivariable systems, which are robust to system uncertainty. System uncertainty can be realistically represented by including perturbations with bounded H?-norm, and this is the approach taken here. For a given H?-norm bound, there is a family of robustly stabilizing controllers, and the central question in this book is which of these controllers to choose. One choice to take is that which minimizes the enthropy of the resulting closed loop transfer function, and the derivation and properties of this solution occupies most of this monograph. Explicit formulae are obtained for the minimum enthropy solution, which is a precisely defined compromise between the Linear Quadratic Gaussian optimal solution and the H?-optimal solution. The book will be appropriate for graduate classes requiring only a first course in state-space methods, and some elementary knowledge of H? control and Linear Quadratic Gaussian control.

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Main Authors: Mustafa, Dennis. editor., Glover, Keith. editor., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1990
Subjects:Engineering., Applied mathematics., Engineering mathematics., Automotive engineering., Control engineering., Robotics., Mechatronics., Control, Robotics, Mechatronics., Appl.Mathematics/Computational Methods of Engineering., Automotive Engineering.,
Online Access:http://dx.doi.org/10.1007/BFb0008861
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spelling KOHA-OAI-TEST:1751382018-07-30T22:53:17ZMinimum Entropy H∞ Control [electronic resource] / Mustafa, Dennis. editor. Glover, Keith. editor. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg,1990.engThis monograph is concerned with the design of feedback controllers for linear multivariable systems, which are robust to system uncertainty. System uncertainty can be realistically represented by including perturbations with bounded H?-norm, and this is the approach taken here. For a given H?-norm bound, there is a family of robustly stabilizing controllers, and the central question in this book is which of these controllers to choose. One choice to take is that which minimizes the enthropy of the resulting closed loop transfer function, and the derivation and properties of this solution occupies most of this monograph. Explicit formulae are obtained for the minimum enthropy solution, which is a precisely defined compromise between the Linear Quadratic Gaussian optimal solution and the H?-optimal solution. The book will be appropriate for graduate classes requiring only a first course in state-space methods, and some elementary knowledge of H? control and Linear Quadratic Gaussian control.The entropy of a system -- The minimum entropy $$\mathcal{H}_\infty$$ control problem -- The minimum entropy $$\mathcal{H}_\infty$$ distance problem -- Relations to combined $$\mathcal{H}_\infty$$ /LQG control -- Relations to risk-sensitive LQG control -- The normalized $$\mathcal{H}_\infty$$ control problem -- $$\mathcal{H}_\infty$$ -characteristic values -- LQG and $$\mathcal{H}_\infty$$ monotonicity.This monograph is concerned with the design of feedback controllers for linear multivariable systems, which are robust to system uncertainty. System uncertainty can be realistically represented by including perturbations with bounded H?-norm, and this is the approach taken here. For a given H?-norm bound, there is a family of robustly stabilizing controllers, and the central question in this book is which of these controllers to choose. One choice to take is that which minimizes the enthropy of the resulting closed loop transfer function, and the derivation and properties of this solution occupies most of this monograph. Explicit formulae are obtained for the minimum enthropy solution, which is a precisely defined compromise between the Linear Quadratic Gaussian optimal solution and the H?-optimal solution. The book will be appropriate for graduate classes requiring only a first course in state-space methods, and some elementary knowledge of H? control and Linear Quadratic Gaussian control.Engineering.Applied mathematics.Engineering mathematics.Automotive engineering.Control engineering.Robotics.Mechatronics.Engineering.Control, Robotics, Mechatronics.Appl.Mathematics/Computational Methods of Engineering.Automotive Engineering.Springer eBookshttp://dx.doi.org/10.1007/BFb0008861URN:ISBN:9783540471820
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Engineering.
Applied mathematics.
Engineering mathematics.
Automotive engineering.
Control engineering.
Robotics.
Mechatronics.
Engineering.
Control, Robotics, Mechatronics.
Appl.Mathematics/Computational Methods of Engineering.
Automotive Engineering.
Engineering.
Applied mathematics.
Engineering mathematics.
Automotive engineering.
Control engineering.
Robotics.
Mechatronics.
Engineering.
Control, Robotics, Mechatronics.
Appl.Mathematics/Computational Methods of Engineering.
Automotive Engineering.
spellingShingle Engineering.
Applied mathematics.
Engineering mathematics.
Automotive engineering.
Control engineering.
Robotics.
Mechatronics.
Engineering.
Control, Robotics, Mechatronics.
Appl.Mathematics/Computational Methods of Engineering.
Automotive Engineering.
Engineering.
Applied mathematics.
Engineering mathematics.
Automotive engineering.
Control engineering.
Robotics.
Mechatronics.
Engineering.
Control, Robotics, Mechatronics.
Appl.Mathematics/Computational Methods of Engineering.
Automotive Engineering.
Mustafa, Dennis. editor.
Glover, Keith. editor.
SpringerLink (Online service)
Minimum Entropy H∞ Control [electronic resource] /
description This monograph is concerned with the design of feedback controllers for linear multivariable systems, which are robust to system uncertainty. System uncertainty can be realistically represented by including perturbations with bounded H?-norm, and this is the approach taken here. For a given H?-norm bound, there is a family of robustly stabilizing controllers, and the central question in this book is which of these controllers to choose. One choice to take is that which minimizes the enthropy of the resulting closed loop transfer function, and the derivation and properties of this solution occupies most of this monograph. Explicit formulae are obtained for the minimum enthropy solution, which is a precisely defined compromise between the Linear Quadratic Gaussian optimal solution and the H?-optimal solution. The book will be appropriate for graduate classes requiring only a first course in state-space methods, and some elementary knowledge of H? control and Linear Quadratic Gaussian control.
format Texto
topic_facet Engineering.
Applied mathematics.
Engineering mathematics.
Automotive engineering.
Control engineering.
Robotics.
Mechatronics.
Engineering.
Control, Robotics, Mechatronics.
Appl.Mathematics/Computational Methods of Engineering.
Automotive Engineering.
author Mustafa, Dennis. editor.
Glover, Keith. editor.
SpringerLink (Online service)
author_facet Mustafa, Dennis. editor.
Glover, Keith. editor.
SpringerLink (Online service)
author_sort Mustafa, Dennis. editor.
title Minimum Entropy H∞ Control [electronic resource] /
title_short Minimum Entropy H∞ Control [electronic resource] /
title_full Minimum Entropy H∞ Control [electronic resource] /
title_fullStr Minimum Entropy H∞ Control [electronic resource] /
title_full_unstemmed Minimum Entropy H∞ Control [electronic resource] /
title_sort minimum entropy h∞ control [electronic resource] /
publisher Berlin, Heidelberg : Springer Berlin Heidelberg,
publishDate 1990
url http://dx.doi.org/10.1007/BFb0008861
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