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The Resource ChainScattering Approach to H∞Control, by Hidenori Kimura, (electronic resource)
ChainScattering Approach to H∞Control, by Hidenori Kimura, (electronic resource)
Resource Information
The item ChainScattering Approach to H∞Control, by Hidenori Kimura, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item ChainScattering Approach to H∞Control, by Hidenori Kimura, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 The advent of Hinfinitycontrol was a truly remarkable innovation in multivariable theory. It eliminated the classical/modern dichotomy that had been a major source of the longstanding skepticism about the applicability of modern control theory, by amalgamating the "philosophy" of classical design with "computation" based on the statespace problem setting. It enhanced the application by deepening the theory mathematically and logically, not by weakening it as was done by the reformers of modern control theory in the early 1970s. However, very few practical design engineers are familiar with the theory, even though several theoretical frameworks have been proposed, namely interpolation theory, matrix dilation, differential games, approximation theory, linear matrix inequalities, etc. But none of these frameworks have proved to be a natural, simple, and comprehensive exposition of Hinfinitycontrol theory that is accessible to practical engineers and demonstrably the most natural control strategy to achieve the control objectives. The purpose of this book is to provide such a natural theoretical framework that is understandable with little mathematical background. The notion of chainscattering, well known in classical circuit theory, but new to control theorists, plays a fundamental role in this book. It captures an essential feature of the control systems design, reducing it to a Jlossless factorization, which leads us naturally to the idea of Hinfinitycontrol. The Jlossless conjugation, an essentially new notion in linear system theory, then provides a powerful tool for computing this factorization. Thus the chainscattering representation, the Jlossless factorization, and the Jlossless conjugation are the three key notions that provide the thread of development in this book. The book is conpletely self contained and requires little mathematical background other than some familiarity with linear algebra. It will be useful to praciticing engineers in control system design and as a text for a graduate course in Hinfinitycontrol and its applications. The reader is supposed to be acquainted with linear systems only at an elementary level and, although full proofs are given, the exposition is careful so that it may be accessible to engineers. H. Kimura's textbook is a useful source of information for everybody who wants to learn this part of the modern control theory in a thorough manner. —Mathematica Bohemica The book is useful to practicing engineers in control system design and as a textbook for a graduate course in H∞ control and its applications. —Zentralblatt MATH
 Language

 eng
 eng
 Edition
 1st ed. 1997.
 Extent
 1 online resource (X, 246 p.)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Contents

 1 Introduction
 1.1 Impacts of H?Control
 1.2 Theoretical Background
 2 Elements of Linear System Theory
 2.1 StateSpace Description of Linear Systems
 2.2 Controllability and Observability
 2.3 State Feedback and Output Insertion
 2.4 Stability of Linear Systems
 3 Norms and Factorizations
 3.1 Norms of Signals and Systems
 3.2 Hamiltonians and Riccati Equations
 3.3 Factorizations
 4 ChainScattering Representations of the Plant
 4.1 Algebra of ChainScattering Representation
 4.2 StateSpace Forms of ChainScattering Representation
 4.3 Dualization
 4.4 JLossless and (J, J?)Lossless Systems
 4.5 Dual (J, J?)Lossless Systems
 4.6 Feedback and Terminations
 5 JLossless Conjugation and Interpolation
 5.1 JLossless Conjugation
 5.2 Connections to Classical Interpolation Problem
 5.3 Sequential Structure of JLossless Conjugation
 6 JLossless Factorizations
 6.1 (J, J?)Lossless Factorization and Its Dual
 6.2 (J, J?)Lossless Factorization by JLossless Conjugation
 6.3 (J, J?)Lossless Factorization in State Space
 6.4 Dual (J, J?)Lossless Factorization in State Space
 6.5 Hamiltonian Matrices
 7 H? Control via (J, J?)Lossless Factorization
 7.1 Formulation of H? Control
 7.2 ChainScattering Representations of Plants and H? Control
 7.3 Solvability Conditions for TwoBlock Cases
 7.4 Plant Augmentations and ChainScattering Representations
 8 StateSpace Solutions to H? Control Problems
 8.1 Problem Formulation and Plant Augmentation
 8.2 Solution to H? Control Problem for Augmented Plants
 8.3 Maximum Augmentations
 8.4 StateSpace Solutions
 8.5 Some Special Cases
 9 Structure of H? Control
 9.1 Stability Properties
 9.2 ClosedLoop Structure of H? Control
 9.3 Examples
 Isbn
 9781461240808
 Label
 ChainScattering Approach to H∞Control
 Title
 ChainScattering Approach to H∞Control
 Statement of responsibility
 by Hidenori Kimura
 Language

 eng
 eng
 Summary
 The advent of Hinfinitycontrol was a truly remarkable innovation in multivariable theory. It eliminated the classical/modern dichotomy that had been a major source of the longstanding skepticism about the applicability of modern control theory, by amalgamating the "philosophy" of classical design with "computation" based on the statespace problem setting. It enhanced the application by deepening the theory mathematically and logically, not by weakening it as was done by the reformers of modern control theory in the early 1970s. However, very few practical design engineers are familiar with the theory, even though several theoretical frameworks have been proposed, namely interpolation theory, matrix dilation, differential games, approximation theory, linear matrix inequalities, etc. But none of these frameworks have proved to be a natural, simple, and comprehensive exposition of Hinfinitycontrol theory that is accessible to practical engineers and demonstrably the most natural control strategy to achieve the control objectives. The purpose of this book is to provide such a natural theoretical framework that is understandable with little mathematical background. The notion of chainscattering, well known in classical circuit theory, but new to control theorists, plays a fundamental role in this book. It captures an essential feature of the control systems design, reducing it to a Jlossless factorization, which leads us naturally to the idea of Hinfinitycontrol. The Jlossless conjugation, an essentially new notion in linear system theory, then provides a powerful tool for computing this factorization. Thus the chainscattering representation, the Jlossless factorization, and the Jlossless conjugation are the three key notions that provide the thread of development in this book. The book is conpletely self contained and requires little mathematical background other than some familiarity with linear algebra. It will be useful to praciticing engineers in control system design and as a text for a graduate course in Hinfinitycontrol and its applications. The reader is supposed to be acquainted with linear systems only at an elementary level and, although full proofs are given, the exposition is careful so that it may be accessible to engineers. H. Kimura's textbook is a useful source of information for everybody who wants to learn this part of the modern control theory in a thorough manner. —Mathematica Bohemica The book is useful to practicing engineers in control system design and as a textbook for a graduate course in H∞ control and its applications. —Zentralblatt MATH
 http://library.link/vocab/creatorName
 Kimura, Hidenori
 Dewey number
 510
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 mNVpQOQDxZs
 Image bit depth
 0
 Language note
 English
 LC call number
 QA1939
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Systems & Control: Foundations & Applications,
 http://library.link/vocab/subjectName

 Mathematics
 Mathematics, general
 Label
 ChainScattering Approach to H∞Control, by Hidenori Kimura, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 1 Introduction  1.1 Impacts of H?Control  1.2 Theoretical Background  2 Elements of Linear System Theory  2.1 StateSpace Description of Linear Systems  2.2 Controllability and Observability  2.3 State Feedback and Output Insertion  2.4 Stability of Linear Systems  3 Norms and Factorizations  3.1 Norms of Signals and Systems  3.2 Hamiltonians and Riccati Equations  3.3 Factorizations  4 ChainScattering Representations of the Plant  4.1 Algebra of ChainScattering Representation  4.2 StateSpace Forms of ChainScattering Representation  4.3 Dualization  4.4 JLossless and (J, J?)Lossless Systems  4.5 Dual (J, J?)Lossless Systems  4.6 Feedback and Terminations  5 JLossless Conjugation and Interpolation  5.1 JLossless Conjugation  5.2 Connections to Classical Interpolation Problem  5.3 Sequential Structure of JLossless Conjugation  6 JLossless Factorizations  6.1 (J, J?)Lossless Factorization and Its Dual  6.2 (J, J?)Lossless Factorization by JLossless Conjugation  6.3 (J, J?)Lossless Factorization in State Space  6.4 Dual (J, J?)Lossless Factorization in State Space  6.5 Hamiltonian Matrices  7 H? Control via (J, J?)Lossless Factorization  7.1 Formulation of H? Control  7.2 ChainScattering Representations of Plants and H? Control  7.3 Solvability Conditions for TwoBlock Cases  7.4 Plant Augmentations and ChainScattering Representations  8 StateSpace Solutions to H? Control Problems  8.1 Problem Formulation and Plant Augmentation  8.2 Solution to H? Control Problem for Augmented Plants  8.3 Maximum Augmentations  8.4 StateSpace Solutions  8.5 Some Special Cases  9 Structure of H? Control  9.1 Stability Properties  9.2 ClosedLoop Structure of H? Control  9.3 Examples
 Dimensions
 unknown
 Edition
 1st ed. 1997.
 Extent
 1 online resource (X, 246 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461240808
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461240808
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000090694
 (SSID)ssj0001296082
 (PQKBManifestationID)11705736
 (PQKBTitleCode)TC0001296082
 (PQKBWorkID)11347420
 (PQKB)11296826
 (DEHe213)9781461240808
 (MiAaPQ)EBC3076049
 (EXLCZ)993400000000090694
 Label
 ChainScattering Approach to H∞Control, by Hidenori Kimura, (electronic resource)
 Note
 Bibliographic Level Mode of Issuance: Monograph
 Antecedent source
 mixed
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Contents
 1 Introduction  1.1 Impacts of H?Control  1.2 Theoretical Background  2 Elements of Linear System Theory  2.1 StateSpace Description of Linear Systems  2.2 Controllability and Observability  2.3 State Feedback and Output Insertion  2.4 Stability of Linear Systems  3 Norms and Factorizations  3.1 Norms of Signals and Systems  3.2 Hamiltonians and Riccati Equations  3.3 Factorizations  4 ChainScattering Representations of the Plant  4.1 Algebra of ChainScattering Representation  4.2 StateSpace Forms of ChainScattering Representation  4.3 Dualization  4.4 JLossless and (J, J?)Lossless Systems  4.5 Dual (J, J?)Lossless Systems  4.6 Feedback and Terminations  5 JLossless Conjugation and Interpolation  5.1 JLossless Conjugation  5.2 Connections to Classical Interpolation Problem  5.3 Sequential Structure of JLossless Conjugation  6 JLossless Factorizations  6.1 (J, J?)Lossless Factorization and Its Dual  6.2 (J, J?)Lossless Factorization by JLossless Conjugation  6.3 (J, J?)Lossless Factorization in State Space  6.4 Dual (J, J?)Lossless Factorization in State Space  6.5 Hamiltonian Matrices  7 H? Control via (J, J?)Lossless Factorization  7.1 Formulation of H? Control  7.2 ChainScattering Representations of Plants and H? Control  7.3 Solvability Conditions for TwoBlock Cases  7.4 Plant Augmentations and ChainScattering Representations  8 StateSpace Solutions to H? Control Problems  8.1 Problem Formulation and Plant Augmentation  8.2 Solution to H? Control Problem for Augmented Plants  8.3 Maximum Augmentations  8.4 StateSpace Solutions  8.5 Some Special Cases  9 Structure of H? Control  9.1 Stability Properties  9.2 ClosedLoop Structure of H? Control  9.3 Examples
 Dimensions
 unknown
 Edition
 1st ed. 1997.
 Extent
 1 online resource (X, 246 p.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9781461240808
 Level of compression
 uncompressed
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/9781461240808
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 (CKB)3400000000090694
 (SSID)ssj0001296082
 (PQKBManifestationID)11705736
 (PQKBTitleCode)TC0001296082
 (PQKBWorkID)11347420
 (PQKB)11296826
 (DEHe213)9781461240808
 (MiAaPQ)EBC3076049
 (EXLCZ)993400000000090694
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