Process modeling, estimation, and identification:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Englewood Cliffs, N.J.
Prentice-Hall
1974
|
| Schriftenreihe: | Mathematical methods in chemical engineering.
Vol. 3. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII,545 S.m.Tab. |
| ISBN: | 0135611180 |
Internformat
MARC
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| 100 | 1 | |a Seinfeld, John H. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Process modeling, estimation, and identification |c John H. Seinfeld ; Leon Lapidus* |
| 264 | 1 | |a Englewood Cliffs, N.J. |b Prentice-Hall |c 1974 | |
| 300 | |a XII,545 S.m.Tab. | ||
| 336 | |b txt |2 rdacontent | ||
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| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematical methods in chemical engineering. |v Vol. 3. | |
| 490 | 0 | |a Prentice-Hall international series in the physical and chemical engineering series. | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface %i
1 Introduction 1
2 Types of Process Models 6
2.1 Basic Classifications of Mathematical Models 10
2.2 Fundamental Features of Models 10
2.3 Ordinary Differential Equations 14
2.4 Difference Equations 20
2.5 Differential Difference Equations 25
2.6 Partial Differential Equations 26
2.7 Integral Equations 29
2.8 Integro Differential Equations 36
2.9 Summary 37
3 The Laplace Transform 46
3.1 General Development 46
3.2 Input and Transfer Functions 70
3.3 Relationship of the Laplace Transform to the
State Space Representation 88
3.4 Discrete System Equations and the z Transform 92
3.5 Numerical Inversion Methods 104
3.6 Examples of Applications of the Laplace
Transform 115
vii
viii Contents
4 Elements of Probability Theory 149
AA The Concept of a Random Variable 150
4.2 Joint Distributions 154
4.3 Conditional Probabilities 158
4.4 Properties of Random Variables 160
4.5 Generating and Characteristic Functions 167
4.6 Common Probability Distributions 175
4.7 Transformations of Random Variables 184
4.8 The Central Limit Theorem 187
5 Stochastic Mathematical Models 197
5.1 Discrete State, Discrete Time Stochastic
Processes 201
5.2 Discrete State, Continuous Time Stochastic
Processes 213
5.3 Continuous State Stochastic Processes 225
5.4 Characterization of Stochastic Processes 237
5.5 Mathematical Modeling of Stochastic Dynamic
Systems 263
5.6 Deterministic vs. Stochastic Models 280
6 Residence Time Distribution Theory 289
6.1 Fundamental Definitions 290
6.2 Residence Time Distribution Studies 294
6.3 Typical Deterministic Flow System Models 297
6.4 Moments of Deterministic Residence Time
Distribution Models 309
6.5 Stochastic Flow System Models 312
6.6 Staged Models with Internal Backmixing 315
6.7 Moments of the Backflow Cell Model and
Comparison to Continuous Models for Systems
with Axial Mixing 320
6.8 Stochastic Mixing Models for Chemical Reactors 326
Contents JX
7 Parameter Estimation 339
7.1 Model Forms for Parameter Estimation 342
7.2 Parameter Estimation Using Moments 359
7.3 Parameter Estimation Using Transfer Functions
with Deterministic Inputs 373
7.4 Parameter Estimation Using Transfer Functions
with Stochastic Inputs 378
7.5 Algorithms for Parameter Estimation in Algebraic
Models 382
7.6 Algorithms for Parameter Estimation in Ordinary
Differential Equations 386
7.7 Algorithms for Parameter Estimation in Partial
Differential Equations 401
8 Design of Experiments
for Parameter Estimation 419
8.1 Accuracy of Parameter Estimates 420
8.2 Design of Experiments for Parameter Estimation 430
8.3 Design of Experiments for Model Discrimination 446
9 Process Identification: Linear Systems 454
9.1 Further Linear Theory 455
9.2 Controllability, Observability, and Minimum
Realizations 458
9.3 The Algorithm of Ho and Kalman 471
9.4 Exact Linear System Realizations 476
9.5 Suboptimal Realizations 485
9.6 Minimum Partial Realizations 486
9.7 Comparison with Other Identification Methods 493
9.8 Nonlinear System Modeling 499
9.9 The Adsorption Column with Axial Diffusion 500
X Contents
10 Process Identification: Nonlinear Systems 505
10.1 The Wiener Identification Theory 506
10.2 Use of Two Level Inputs 516
10.3 Identification via a Finite Volterra Series 527
10.4 Slurry Flow in an Ore Crushing Rod Mill 532
10.5 Summary 534
Index 539
|
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| id | DE-604.BV007291000 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:59:16Z |
| institution | BVB |
| isbn | 0135611180 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004685107 |
| oclc_num | 632645969 |
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| owner_facet | DE-355 DE-BY-UBR DE-29T |
| physical | XII,545 S.m.Tab. |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | Prentice-Hall |
| record_format | marc |
| series | Mathematical methods in chemical engineering. |
| series2 | Mathematical methods in chemical engineering. Prentice-Hall international series in the physical and chemical engineering series. |
| spelling | Seinfeld, John H. Verfasser aut Process modeling, estimation, and identification John H. Seinfeld ; Leon Lapidus* Englewood Cliffs, N.J. Prentice-Hall 1974 XII,545 S.m.Tab. txt rdacontent n rdamedia nc rdacarrier Mathematical methods in chemical engineering. Vol. 3. Prentice-Hall international series in the physical and chemical engineering series. Prozessmodell (DE-588)4237203-3 gnd rswk-swf Experimentelle Prozessanalyse (DE-588)4219265-1 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Prozessmodell (DE-588)4237203-3 s Mathematik (DE-588)4037944-9 s DE-604 Experimentelle Prozessanalyse (DE-588)4219265-1 s Lapidus, Leon Verfasser aut Mathematical methods in chemical engineering. Vol. 3. (DE-604)BV006655108 3 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004685107&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Seinfeld, John H. Lapidus, Leon Process modeling, estimation, and identification Mathematical methods in chemical engineering. Prozessmodell (DE-588)4237203-3 gnd Experimentelle Prozessanalyse (DE-588)4219265-1 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4237203-3 (DE-588)4219265-1 (DE-588)4037944-9 |
| title | Process modeling, estimation, and identification |
| title_auth | Process modeling, estimation, and identification |
| title_exact_search | Process modeling, estimation, and identification |
| title_full | Process modeling, estimation, and identification John H. Seinfeld ; Leon Lapidus* |
| title_fullStr | Process modeling, estimation, and identification John H. Seinfeld ; Leon Lapidus* |
| title_full_unstemmed | Process modeling, estimation, and identification John H. Seinfeld ; Leon Lapidus* |
| title_short | Process modeling, estimation, and identification |
| title_sort | process modeling estimation and identification |
| topic | Prozessmodell (DE-588)4237203-3 gnd Experimentelle Prozessanalyse (DE-588)4219265-1 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Prozessmodell Experimentelle Prozessanalyse Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004685107&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV006655108 |
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