Block pulse functions and their applications in control systems

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Hauptverfasser: Jiang, Zhihua (VerfasserIn), Schaufelberger, Walter 1940-2008 (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: Berlin u.a. Springer 1992
Schriftenreihe:Lecture notes in control and information sciences 179
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Datensatz im Suchindex

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adam_text Contents Nomenclature XI 1 Introduction 1 1.1 Definition of block pulse functions 1 1.2 Elementary properties of block pulse functions 2 1.3 Block pulse series expansions 4 1.4 Convergence of block pulse series 6 1.5 Two dimensional block pulse functions 9 2 Operations of block pulse series 11 2.1 Vector forms of block pulse series 11 2.2 Elementary operation rules 13 2.3 Other operation rules 25 2.4 Recursive formulas of integrals 36 2.5 Notes on operational matrices 39 3 Block pulse operators 42 3.1 Definition of block pulse operators 42 3.2 Properties of block pulse operators 44 3.3 Operation rules of block pulse operators 45 3.4 Extensions of block pulse operators 50 3.5 Notes on block pulse operators 53 yjjj Contents 4 Block pulse transforms 56 4.1 Definition of block pulse transforms 56 4.2 Operation rules of block pulse transforms 60 4.3 Extensions of block pulse transforms 62 5 Block pulse operational matrices for integrations 67 5.1 Improved integration operational matrix 67 5.2 Generalized integration operational matrices 71 5.3 Properties of generalized integration operational matrices 75 5.4 Discrete integrators and integration operational matrices 85 5.5 Extended integration operational matrices 87 5.6 Properties of extended integration operational matrices 92 6 Nonparametric representations of dynamic systems 104 6.1 Block pulse transfer matrices of linear systems 104 6.2 Block pulse transfer matrices and differential equations Ill 6.3 Block pulse transfer matrices and system block diagrams 116 6.4 Identification of block pulse transfer matrices 122 7 Input output representations of dynamic systems 126 7.1 Single input single output time invariant linear systems 126 7.1.1 System analysis 127 7.1.2 System identification 128 7.1.3 Block pulse regression equations 131 7.1.4 Sensitivity analysis 137 7.2 Single input single output time varying linear systems 139 7.2.1 System analysis 140 7.2.2 System identification 141 7.2.3 Block pulse regression equations 142 Contents IX 7.3 Multi input multi output linear systems 148 7.3.1 System analysis 148 7.3.2 System identification 149 7.4 Linear systems containing time delays 150 7.4.1 System analysis 151 7.4.2 System identification 151 7.5 Hfl.Ttimprsf.pin model nonlinear systems 153 7.5.1 System analysis 154 7.5.2 System identification 154 7.6 Inversions of Laplace transforms 156 7.6.1 Functions in general forms 156 7.6.2 Functions in special forms 159 7.7 Integral equations 162 7.7.1 Deconvolutions 162 7.7.2 Fredholm integral equations 165 7.7.3 Volterra integral equations 166 8 State space representations of dynamic systems 169 8.1 Time invariant linear systems 169 8.1.1 System analysis 169 8.1.2 System identification 173 8.1.3 Optimal control 174 8.2 Time varying linear systems 179 8.2.1 System analysis 179 8.2.2 System identification 181 8.2.3 Optimal control 183 8.3 Linear systems containing time delays 186 8.3.1 System analysis 186 8.3.2 System identification 189 8.4 Bilinear systems 191 X Contents 8.4.1 System analysis 191 8.4.2 System identification . . . 195 8.5 Hammerstein model nonlinear systems 197 8.5.1 System analysis 197 8.5.2 System identification 198 8.6 General nonlinear systems 200 8.6.1 System analysis 200 8.6.2 System identification 202 9 Practical aspects in using block pulse functions 203 9.1 Use of sampled data in block pulse function methods 203 9.2 Influence of noise in block pulse function methods 207 9.3 Practical applications of block pulse function methods 211 A Some block pulse integration operational matrices 215 B Some formulas about upper triangular matrices 219 C Some relations in block pulse difference equations 223 References 227 Index 236
any_adam_object 1
author Jiang, Zhihua
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physical XII, 237 S. graph. Darst.
publishDate 1992
publishDateSearch 1992
publishDateSort 1992
publisher Springer
record_format marc
series Lecture notes in control and information sciences
series2 Lecture notes in control and information sciences
spellingShingle Jiang, Zhihua
Schaufelberger, Walter 1940-2008
Block pulse functions and their applications in control systems
Lecture notes in control and information sciences
Commande automatique ram
Traitement du signal ram
Automatic control
Signal processing
Orthogonale Funktionen (DE-588)4475233-7 gnd
Dynamisches System (DE-588)4013396-5 gnd
Regelungssystem (DE-588)4134712-2 gnd
Orthogonalfilter (DE-588)4194369-7 gnd
Block-Puls-Funktionensystem (DE-588)4323730-7 gnd
subject_GND (DE-588)4475233-7
(DE-588)4013396-5
(DE-588)4134712-2
(DE-588)4194369-7
(DE-588)4323730-7
title Block pulse functions and their applications in control systems
title_auth Block pulse functions and their applications in control systems
title_exact_search Block pulse functions and their applications in control systems
title_full Block pulse functions and their applications in control systems Z. H. Jiang ; W. Schaufelberger
title_fullStr Block pulse functions and their applications in control systems Z. H. Jiang ; W. Schaufelberger
title_full_unstemmed Block pulse functions and their applications in control systems Z. H. Jiang ; W. Schaufelberger
title_short Block pulse functions and their applications in control systems
title_sort block pulse functions and their applications in control systems
topic Commande automatique ram
Traitement du signal ram
Automatic control
Signal processing
Orthogonale Funktionen (DE-588)4475233-7 gnd
Dynamisches System (DE-588)4013396-5 gnd
Regelungssystem (DE-588)4134712-2 gnd
Orthogonalfilter (DE-588)4194369-7 gnd
Block-Puls-Funktionensystem (DE-588)4323730-7 gnd
topic_facet Commande automatique
Traitement du signal
Automatic control
Signal processing
Orthogonale Funktionen
Dynamisches System
Regelungssystem
Orthogonalfilter
Block-Puls-Funktionensystem
url http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003385125&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link (DE-604)BV005848579
work_keys_str_mv AT jiangzhihua blockpulsefunctionsandtheirapplicationsincontrolsystems
AT schaufelbergerwalter blockpulsefunctionsandtheirapplicationsincontrolsystems