Modelling, analysis and design of control systems in MATLAB and Simulink:
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| Main Authors: | , |
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| Format: | Book |
| Language: | English |
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New Jersey [u.a.]
World Scientific
2015
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| Online Access: | Klappentext Inhaltsverzeichnis |
| Physical Description: | XXII, 558 S. graph. Darst. |
| ISBN: | 9789814618458 9814618454 |
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| 245 | 1 | 0 | |a Modelling, analysis and design of control systems in MATLAB and Simulink |c Dingyü Xue ; YangQuan Chen |
| 264 | 1 | |a New Jersey [u.a.] |b World Scientific |c 2015 | |
| 300 | |a XXII, 558 S. |b graph. Darst. | ||
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| adam_text | Contents
ft
Foreword v
Preface ix
1. Introduction to Simulation and Computer-aided Design of Control Systems 1
1.1 A Brief Historic Review of the Development of Computer-aided
Design of Control Systems.......................................... 1
1.2 Introduction to the CACSD Languages and Environments.............. 2
1.3 Development of Simulation Software................................. 5
1.4 MATLAB/Simulink and Their CACSD Toolboxes........................ 6
1.5 Overview of CACSD Approaches....................................... 8
1.6 Fundamental Structures and Contents of This Book............ 10
1.7 Problems.......................................................... 12
Bibliography and References......................................... 14
2. Fundamentals of MATLAB Programming 17
2.1 Basics in MATLAB Programming...................................... 18
2.1.1 Variables and Constants in MATLAB.......................... 18
2.1.2 Data Structures............................................ 19
2.1.3 Basic Statement Structures of MATLAB....................... 20
2.1.4 Colon Expressions.......................................... 21
2.1.5 Sub-matrix Extraction...................................... 22
2.2 Basic Mathematical Operations..................................... 22
2.2.1 Algebraic Calculations of Matrices......................... 22
2.2.2 Logic Operations of Matrices............................... 24
2.2.3 Relationship Operations of Matrices........................ 24
2.2.4 Simplifications and Presentations of Analytical Results . . 24
2.2.5 Basic Number Theory Computations........................... 26
2.3 Flow Control Structures in MATLAB Programming..................... 27
2.3.1 Loop Control Structures.................................... 27
xiii
xiv Modeling, Analysis and Design of Control Systems in MATLAB and Simulink
2.3.2 Conditional Structure.................................... 28
2.3.3 Switch Structure......................................... 29
2.3.4 Trial Structure.......................................... 29
2.4 Function Writing and Debugging................................... 30
2.4.1 Basic Structure of MATLAB Functions...................... 30
2.4.2 Functions with Variable Numbers of Inputs and Outputs . 33
2.4.3 Anonymous and Inline Functions .......................... 33
2.4.4 Pseudo Codes............................................. 34
2.5 Two-dimensional Graphics......................................... 34
2.5.1 Basic Statements of Two-dimensional Plotting............. 34
2.5.2 Other Graphics Functions with Applications............... 37
2.5.3 Implicit Function Visualizations......................... 39
2.5.4 Graph Editing and Decorations............................ 39
2.6 Three-dimensional Visualization ................................. 41
2.6.1 Three-dimensional Curves ................................ 41
2.6.2 Three-dimensional Surfaces............................... 41
2.6.3 Viewpoint Setting in 3D Plots............................ 44
2.7 Graphical User Interface Design in MATLAB........................ 45
2.7.1 Graphical User Interface Tool - Guide ................... 46
2.7.2 Handle Graphics and Properties of Objects................ 46
2.7.3 Menu System Design....................................... 52
2.7.4 An Illustrative Example in GUI Design.................... 52
2.7.5 Toolbar Design........................................... 54
2.7.6 Embedding ActiveX Components in GUIs .................... 56
2.8 Problems......................................................... 57
Bibliography and References.......................................... 60
3. MATLAB Solutions to Scientific Computation Problems 61
3.1 MATLAB Solutions to Linear Algebra Problems...................... 62
3.1.1 Fundamental Analysis of Matrices......................... 62
3.1.2 Matrix Decomposition .................................... 64
3.1.3 Matrix Exponential eA and Exponential Function eAt ... 66
3.2 Solutions of Algebraic Equations................................ 66
3.2.1 Solutions of Linear Algebraic Equations.................. 66
3.2.2 Solutions of Nonlinear Equations......................... 69
3.2.3 Solutions of Nonlinear Matrix Equations................. 72
3.3 Solutions of Ordinary Differential Equations..................... 74
3.3.1 Numerical Solutions to First-order Explicit ODEs......... 74
3.3.2 Conversions of ODEs...................................... 77
3.3.3 Validations of Numerical Solutions....................... 78
3.3.4 Analytical Solutions to Linear ODEs...................... 80
3.4 MATLAB Solutions to Optimization Problems........................ 81
Contents
xv
3.4.1 Unconstrained Optimization Problems ...................... 81
3.4.2 Constrained Optimization Problems......................... 82
3.4.3 Least Squares Curve Fitting............................... 84
3.5 Laplace and z Transforms and MATLAB Solutions................... 86
3.5.1 Laplace Transform....................................... 86
3.5.2 z Transform............................................... 87
3.6 Problems.......................................................... 88
Bibliography and References............................................ 94
4. Mathematical Models of Linear Control Systems 95
4.1 Linear System Models of Linear Continuous Systems .............. 96
4.1.1 Transfer Function Models.................................. 96
4.1.2 State Space Models........................................ 99
4.1.3 State Space Models with Internal Delays.................100
4.1.4 Zero-pole-gain Models.....................................100
4.1.5 Transfer Function Matrices of Multivariable Systems . . . 102
4.2 Mathematical Models of Linear Discrete-time Systems.............103
4.2.1 Discrete-time Transfer Function Models....................103
4.2.2 Discrete-time State Space Models..........................104
4.3 Equivalent Conversions of System Models..........................105
4.3.1 Conversion Between Continuous and Discrete-time Models 105
4.3.2 Converting to Transfer Function Models ...................107
4.3.3 State Space Realization of Control Systems................108
4.3.4 Balanced Realizations.....................................108
4.3.5 Minimum Realization of State Space Models.................109
4.3.6 Conversion between Transfer Functions and Symbolic
Expressions...............................................110
4.4 Block Diagram Description and Simplification....................110
4.4.1 Typical Connections of Control Systems ...................110
4.4.2 Delay Loop Processing with State Space Models.............114
4.4.3 Equivalent Transforms When the Nodes Are Moved .... 116
4.4.4 Simplification of Complicated Block Diagrams..............117
4.4.5 Model Simplification Using An Algebraic Approach .... 119
4.5 Model Reduction of Linear Systems ..............................121
4.5.1 Pade Approximations and Routh Approximations..............122
4.5.2 Pade Approximations to Models with Time Delays .... 125
4.5.3 Sub-optimal Model Reduction to Models with Time Delays 127
4.5.4 Reduction Approaches for State Space Models...............131
4.6 Identification of Linear Systems ..............................134
4.6.1 Identification of Discrete-time Models....................134
4.6.2 Order Selection in Identification.........................138
4.6.3 Generation of Signals for Identification..................140
xvi Modeling, Analysis and Design of Control Systems in MATLAB and Simulink
4.6.4 Identification of Continuous Systems...................141
4.6.5 Identification of Multivariable Systems................142
4.6.6 Least Squares Recursive Identification....................143
4.7 Problems..........................................................144
Bibliography and References.............................................148
5. Computer-Aided Analysis of Linear Control Systems 151
5.1 Properties of Linear Control Systems..............................151
5.1.1 Stability of Linear Systems............................152
5.1.2 Internal Stability of Feedback Control Systems.........155
5.1.3 Similarity Transformation of Linear Control Systems . . . 156
5.1.4 Controllability of Linear Systems ........................157
5.1.5 Observability of Linear Systems...........................159
5.1.6 Canonical Kalman Decompositions...........................160
5.1.7 MATLAB Solutions to Canonical State Space Models . . . 161
5.1.8 Norms of Linear Systems...................................165
5.2 Analytical Time Domain Responses of Linear Systems................166
5.2.1 Analytical Solutions with Direct Integration Method . . . 166
5.2.2 Analytical Solutions with State Augmentation Method . . 167
5.2.3 Analytical Solutions with Laplace and z Transforms .... 169
5.2.4 Time Responses of Systems with Nonzero Initial
Conditions............................................... 172
5.2.5 Time Response Specifications of Second-order Systems . . 173
5.3 Numerical Solutions of Time Domain Responses .....................175
5.3.1 Step Responses and Impulse Responses...................175
5.3.2 Time Domain Responses for Arbitrary Inputs.............180
5.3.3 Responses for Systems with Nonzero Initial Conditions . . 181
5.4 Root Locus Analysis...............................................182
5.5 Frequency Domain Analysis.........................................188
5.5.1 Frequency Domain Analysis of Single Variable Systems . . 189
5.5.2 Stability Assessment of Feedback Systems .................193
5.5.3 Gain Margins and Phase Margins.........................194
5.6 Frequency Domain Analysis of Multivariable Systems ...............196
5.6.1 Frequency Domain Analysis of Multivariable Systems ... 196
5.6.2 Diagonal Dominance Analysis...............................198
5.6.3 Singular Value Plots for Multivariable Systems.........202
5.7 Problems..........................................................203
Bibliography and References.............................................208
6. Simulink and Simulation of Nonlinear Systems 209
6.1 Fundamentals of Simulink Modeling.................................210
6.1.1 Introduction to Simulink..................................210
Contents xvii
6.1.2 Commonly Used Blocks in Simulink.........................211
6.1.3 Other Commonly Used Blocksets ...........................216
6.2 Simulink Modeling and Simulation.................................217
6.2.1 Introduction to Simulink Modeling Methodology............217
6.2.2 Simulation Algorithms and Simulation Parameter
Selections...............................................221
6.2.3 An Illustrative Example of Simulink Modeling.............223
6.3 Simulink Modeling of Various Control Systems.....................226
6.4 Analysis and Simulation of Nonlinear Systems.....................237
6.4.1 Modeling of Piecewise Nonlinearities ....................237
6.4.2 Linearization of Nonlinear Systems.......................239
6.5 Subsystem and Model Masking Methods..............................243
6.5.1 Subsystem Creation.......................................243
6.5.2 Subsystem Masking........................................244
6.5.3 Constructing Users’ Own Block Library....................249
6.6 M-function, S-function and Their Applications....................250
6.6.1 Basic Structure of M-function Blocks.....................250
6.6.2 Basic Structures of S-functions..........................251
6.6.3 Examples of MATLAB S-function Programming................252
6.6.4 Mask an S-Function Block.................................257
6.7 Problems ...................................................... 258
Bibliography and References............................................261
Classical Design Approaches of Control Systems 263
7.1 Design of Phase Lead-lag Compensators............................264
7.1.1 Lead-leg Compensators....................................264
7.1.2 A Design Algorithm for Lead-lag Compensator .............266
7.2 State Space-based Controller Design Strategies...................270
7.2.1 State Feedback Control...................................270
7.2.2 Linear Quadratic Optimal Regulators......................271
7.2.3 Pole Placement Controller Design.........................273
7.2.4 Observer Design and Observer-based Regulators............276
7.3 Optimal Controller Design........................................281
7.3.1 Introduction to Optimal Control..........................281
7.3.2 An Optimal Controller Design Interface...................284
7.3.3 Other Applications of OCD Interface......................289
7.4 Controller Design Interfaces in Control System Toolbox...........290
7.4.1 Introduction to MATLAB Controller Design Interface . . . 290
7.4.2 An Example of Parameter Automatic Tuning for Single
Variable Systems ........................................293
7.5 Frequency Domain Design Methods for Multivariable Systems . . . 296
7.5.1 Diagonal Dominant and Pseudo-diagonalization.............297
xviii Modeling, Analysis and Design of Control Systems in MATLAB and Simulink
7.5.2 Parameter Optimization Design for Multivariable Systems 302
7.5.3 Optimal Controller Design with OCD Interface.............308
7.6 Decoupling Control of Multivariable Systems......................310
7.6.1 Decoupling Control with State Feedback...................310
7.6.2 Decoupling of State Feedback with Pole Placement .... 311
7.7 Problems.........................................................314
Bibliography and References............................................317
8. Parameter Tuning of PID Controllers 319
8.1 Introduction to PID Controller Design............................320
8.1.1 Continuous PID Controllers...............................320
8.1.2 Discrete PID Controllers.................................322
8.1.3 Variations of PID Controllers............................323
8.2 First-order Delay Model Approximation to Plant Models............324
8.2.1 FOPDT Model by Step Responses............................324
8.2.2 Fitting by Frequency Domain Responses....................326
8.2.3 Transfer Function-based Identification...................327
8.2.4 Sub-optimal Reduction Method.............................327
8.3 Parameter Tuning of PID Controllers for FOPDT Plants.........328
8.3.1 Ziegler-Nichols Empirical Formula........................328
8.3.2 Improved Ziegler-Nichols Algorithm ......................330
8.3.3 Improved PID Control Structure and Algorithms............332
8.3.4 Chien-Hrones-Reswick Parameter Tuning Algorithm . . . 335
8.3.5 Optimal PID Controller Tuning Rule.......................336
8.4 PID Tuner — A PID Controller Design Interface....................338
8.5 PID Parameters Tuning for Other Plant Types......................341
8.5.1 PD and PID Parameter Tuning for IPD Plants ....... 341
8.5.2 PD and PID Parameter Tuning for FOLIPD Plants .... 342
8.5.3 PD and PID Parameter Tuning for Unstable FOPDT
Plants...................................................343
8.5.4 Interactive PID Controller Tuning Interface .............344
8.5.5 PID Controller Design and Tuning.........................347
8.5.6 Automatic Tuning Tool based on MATLAB and Simulink . 350
8.6 OptimPID — An Optimal PID Controller Design Interface .... 351
8.7 Problems.........................................................356
Bibliography and References............................................358
9. Robust Control and Robust Controller Design 359
9.1 Linear Quadratic Gaussian Control................................360
9.1.1 LQG Problems.............................................360
9.1.2 Solving LQG Problems with MATLAB.........................360
9.1.3 LQG Control with Loop Transfer Recovery..................364
Contents xix
9.2 General Descriptions to Robust Control Problems ..................369
9.2.1 Small Gain Theorem........................................369
9.2.2 Structures of Robust Controllers..........................369
9.2.3 Description of Loop Shaping Techniques....................372
9.2.4 MATLAB Description of Robust Control Systems..............373
9.3 Norm-based Robust Controller Design..............................377
9.3.1 Design of T-ioo and T-i2 Robust Controllers...............377
9.3.2 Other Robust Controller Design Functions..................382
9.3.3 Youla Parameterization....................................386
9.4 Linear Matrix Inequality Theory and Solutions.....................387
9.4.1 General Descriptions of Linear Matrix Inequalities........387
9.4.2 MATLAB Solutions to Linear Matrix Inequality Problems 390
9.4.3 Optimization Problem Solutions with YALMIP Toolbox . 393
9.4.4 Simultaneous Stabilization Multiple Linear Models .... 394
9.4.5 Robust Optimal Controller Design with LMI Solvers . . . 395
9.5 Quantitative Feedback Theory and Design Methods...................397
9.5.1 Introduction to Quantitative Feedback Theory..............397
9.5.2 QFT Design Method for Single Variable Systems.............398
9.6 Problems..........................................................404
Bibliography and References............................................405
10. Adaptive and Intelligent Control Systems Design 407
10.1 Design of Adaptive Control Systems................................408
10.1.1 Design and Simulation of Model Reference Adaptive
Control Systems...........................................409
10.1.2 Solutions of Polynomial Diophantine Equations.............411
10.1.3 d-step Ahead Forecast.....................................413
10.1.4 Design of Minimum Variance Controllers....................414
10.1.5 Generalized Minimum Variance Control......................416
10.2 Simulation and Design of Model Predictive Control Systems .... 418
10.2.1 Dynamic Matrix Control....................................419
10.2.2 Design of Model Predictive Controllers with MATLAB . . 420
10.2.3 Design and Simulation of Model Predictive Control for
Complicated Plants........................................426
10.2.4 Generalized Predictive Control Systems and Simulations . 429
10.3 Fuzzy Control and Fuzzy Logic Controller Design...................432
10.3.1 Fuzzy Logic and Fuzzy Inference...........................432
10.3.2 Design of Fuzzy PD Controller.............................434
10.3.3 Design of Fuzzy PID Controllers...........................439
10.4 Neural Networks and Neural Network Controller Design..............442
10.4.1 Introduction to Neural Networks...........................443
10.4.2 Design of PID Controller with Single Neurons..............444
XX
Modeling, Analysis and Design of Control Systems in MATLAB and Simulink
10.4.3 PID Controller with Back-propagation Neural Networks . . 447
10.4.4 PID Controller with Radial Basis Function-based Neural
Network ..................................................449
10.4.5 Design and Simulation of Neural Network Controllers . . . 451
10.5 Simulation Analysis of Iterative Learning Control.................456
10.5.1 Principles of Iterative Learning Control................. 456
10.5.2 Iterative Learning Control Algorithms.....................458
10.6 Design of Global Optimal Controllers..............................462
10.6.1 Introduction to Genetic Algorithm.........................462
10.6.2 Solving Global Optimization Problems with Genetic
Algorithms................................................464
10.6.3 Particle Swarm Optimization Algorithms and Applications 467
10.6.4 Optimal Controller Design with Global Optimization
Algorithms................................................468
10.7 Problems..........................................................471
Bibliography and References............................................474
11. Analysis and Design of Fractional-order Systems 477
11.1 Definitions and Numerical Computations in Fractional-order
Calculus..........................................................478
11.1.1 Definitions of Fractional-order Calculus..................478
11.1.2 The Relationship of Different Definitions.................479
11.1.3 Properties of Fractional-order Calculus...................480
11.2 Numerical Computations in Fractional-order Calculus...............480
11.2.1 Numerical Solutions with Griinwald-Letnikov Definition . 481
11.2.2 Numerical Solutions with Caputo Definition................482
11.2.3 Mittag-Lefiler Functions and Their Computations...........483
11.3 Solutions of Linear Fractional-order Systems......................485
11.3.1 Numerical Solutions of Linear Fractional-order Differential
Equations ................................................485
11.3.2 Numerical Solutions of Caputo Differential Equations . . . 487
11.3.3 Some Important Laplace Transforms ........................489
11.3.4 Analytical Solutions of Commensurate-order Linear
Differential Equations....................................489
11.3.5 Analytical Solutions of Linear Fractional-order Differential
Equations ................................................491
11.4 Modeling and Analysis of Fractional-order Transfer Functions . . . 491
11.4.1 FOTF — Creation of a MATLAB Object........................492
11.4.2 Interconnections of FOTF Blocks...........................494
11.4.3 Analysis of FOTF Objects..................................496
11.4.4 Frequency Domain Analysis of FOTF Objects.................499
11.4.5 Time Domain Analysis of FOTF Objects......................499
Contents xxi
11.4.6 Root Locus for Commensurate-order Systems ................501
11.4.7 State Space Models of Commensurate-order Systems . . . 502
11.5 Approximation and Reduction of Fractional-order Systems...........503
11.5.1 Oustaloup Filter for Fractional-order Differentiators .... 503
11.5.2 Approximations of Fractional-order Controllers............505
11.5.3 Optimal Reduction Algorithm for Fractional-order Models 506
11.6 Simulation Methods for Complicated Fractional-order Systems . . 508
11.6.1 Simulation with Numerical Laplace Transform...............508
11.6.2 Block Diagram Modeling and Simulation of Linear
Fractional-order Systems..................................510
11.6.3 Block Diagram Modeling and Simulation of Nonlinear
Fractional-order Systems..................................512
11.7 Design of Optimal Fractional-order PID Controllers................513
11.7.1 Optimal Design of PIADM Controllers.......................513
11.7.2 OptimFOPID — An Optimal Fractional-order PID
Controller Design Interface...............................518
11.8 Problems .........................................................519
Bibliography and References.............................................521
12. Hardware-in-the-loop Simulation and Real-time Control 523
12.1 Introduction to dSPACE and Commonly Used Blocks...................523
12.2 Introduction to Quanser System and Its Blocks.....................525
12.2.1 Introduction to Commonly Used Blocks in Quanser .... 525
12.2.2 Brief Introduction to Plants in Quanser Rotary Series . . . 526
12.3 An Example of Hardware-in-the-loop Simulation and Real-time
Control...........................................................528
12.3.1 Mathematical Description of the Plant Model...............528
12.3.2 Real-time Experiments with Quanser........................530
12.3.3 Real-time Experiments with dSPACE.........................532
12.4 Low-cost Realizations of Hardware-in-the-loop Simulation..........534
12.4.1 Arduino Interface Installation and Settings...............534
12.4.2 Applications of Arduino Control...........................535
12.4.3 The MESA Box..............................................537
12.5 Problems..........................................................538
Bibliography and References.............................................538
Appendix A Some Practical Plant Models 539
A.l Well-known Benchmark Problems.....................................539
A.1.1 Control of the F-14 Aircraft Model .......................539
A. 1.2 ACC Benchmark Problem.....................................540
A. 2 Other Engineering Models..........................................541
A.2.1 Servo Control System Model..................................541
xxii
Modeling, Analysis and Design of Control Systems in MATLAB and Simulink
A.2.2 Mathematical Model of Inverted Pendulum.................542
A.2.3 AIRC Model..............................................543
A.3 Problems........................................................543
Bibliography and References.........................................544
Index of Functions 545
Index 551
modeling, Analysis and design of Control Systems in
MATLAB AND SIMULINK
MATLAB and Simulink are now being used extensively in not only academia as a teaching aid, a learning aid and a research tool but also industry for modeling, analysis, design and rapid prototyping. As a response, Modeling, Analysis and Design of Control Systems in MATLAB and Simulink emphasizes on practical use of and problem solving in MATLAB and Simulink following the so-called MAD (modeling, analysis and design) notion. Readers can not only learn the control concepts and problem solving methods but also coding skills by following the numerous inline MATLAB scripts, functions, reproducible examples as well as chapter-end Problems. The book service website http://mechatronics.ucmerced.edu/MADbook contains Solution Manual, 1,000 plus teaching/learning PPTs, and all related codes used in the book for reproducing the examples.
Modeling, Analysis and Design of Control Systems in MATLAB and Simulink has 12 chapters organized in 5 parts: Foundation, Modeling. Analysis. Design and Rapid Prototyping. Each chapter ends with Problems section. This book can be used as a reference text in the introductory control course for undergraduates in all engineering schools. The coverage of topics is broad, yet balanced, and it should provide a solid foundation for the subsequent control engineering practice in both industry and research institutes. This book will be a good desktop reference for control engineers and many codes and tools in this book may be directly applicable in real world problem solving.
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| discipline | Informatik |
| format | Book |
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| id | DE-604.BV042678602 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:07:17Z |
| institution | BVB |
| isbn | 9789814618458 9814618454 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028110483 |
| oclc_num | 913604186 |
| open_access_boolean | |
| owner | DE-573 DE-703 |
| owner_facet | DE-573 DE-703 |
| physical | XXII, 558 S. graph. Darst. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Xue, Dingyü Verfasser aut Modelling, analysis and design of control systems in MATLAB and Simulink Dingyü Xue ; YangQuan Chen New Jersey [u.a.] World Scientific 2015 XXII, 558 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier MATLAB (DE-588)4329066-8 gnd rswk-swf SIMULINK (DE-588)4480546-9 gnd rswk-swf MATLAB (DE-588)4329066-8 s SIMULINK (DE-588)4480546-9 s DE-604 Chen, YanQuan Verfasser aut Erscheint auch als Online-Ausgabe 978-981-4618-47-2 Erscheint auch als Online-Ausgabe 981-4618-47-0 Erscheint auch als Online-Ausgabe, MOBI 978-981-4618-48-9 Erscheint auch als Online-Ausgabe, MOBI 981-4618-48-9 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028110483&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028110483&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Xue, Dingyü Chen, YanQuan Modelling, analysis and design of control systems in MATLAB and Simulink MATLAB (DE-588)4329066-8 gnd SIMULINK (DE-588)4480546-9 gnd |
| subject_GND | (DE-588)4329066-8 (DE-588)4480546-9 |
| title | Modelling, analysis and design of control systems in MATLAB and Simulink |
| title_auth | Modelling, analysis and design of control systems in MATLAB and Simulink |
| title_exact_search | Modelling, analysis and design of control systems in MATLAB and Simulink |
| title_full | Modelling, analysis and design of control systems in MATLAB and Simulink Dingyü Xue ; YangQuan Chen |
| title_fullStr | Modelling, analysis and design of control systems in MATLAB and Simulink Dingyü Xue ; YangQuan Chen |
| title_full_unstemmed | Modelling, analysis and design of control systems in MATLAB and Simulink Dingyü Xue ; YangQuan Chen |
| title_short | Modelling, analysis and design of control systems in MATLAB and Simulink |
| title_sort | modelling analysis and design of control systems in matlab and simulink |
| topic | MATLAB (DE-588)4329066-8 gnd SIMULINK (DE-588)4480546-9 gnd |
| topic_facet | MATLAB SIMULINK |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028110483&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028110483&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT xuedingyu modellinganalysisanddesignofcontrolsystemsinmatlabandsimulink AT chenyanquan modellinganalysisanddesignofcontrolsystemsinmatlabandsimulink |