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Modeling and identification of dynamic systems - Exercises

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This book contains examples and exercises with modeling problems together with complete solutions. The contents is tailored to the book Ljung-Glad: Modeling and Identification of Dynamic Systems (Studentlitteratur, 2016). The exercises are of different levels of difficulty and cover general modeling principles (such as bond graphs) as well as practical tools like Modelica and Simscape. System identification, model and signal properties are also covered together with basic techniques for si...

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This book contains examples and exercises with modeling problems together with complete solutions. The contents is tailored to the book Ljung-Glad: Modeling and Identification of Dynamic Systems (Studentlitteratur, 2016). The exercises are of different levels of difficulty and cover general modeling principles (such as bond graphs) as well as practical tools like Modelica and Simscape. System identification, model and signal properties are also covered together with basic techniques for simulation. Most of the problems deal with issues from industrial applications, but also economic, social and medical cases are covered. The text requires certain knowledge in linear algebra, signal and systems and basic familiarity with physics and statistics. The computer exercises assume access to basic software such as Matlab and Simulink, and to some extent Modelica/Dymola/Simscape. The book is suitable for Master level courses in engineering, but also for practicing engineers. It is based on the Swedish text Modellbygge och simulering: Övningsbok, Studentlitteratur 2008, by the same authors.

Stäng
    • 11
      Preface
  • 13
    I Exercises
      • 1
        15
        Basic Modeling
        • 1.1
          15
          Class Rules of Natchez Indians
        • 1.2
          16
          Richardson’s Arms Race Model
        • 1.3
          16
          Group Dynamics – a Sociological Model
        • 1.4
          17
          Bacterial Culture
        • 1.5
          17
          The Peter Principle
        • 1.6
          19
          Insulin – Sugar Modeling
        • 1.7
          20
          Tank System
      • 2
        21
        Linear/Nonlinear Systems and Linearization
        • 2.1
          21
          Is the System Linear?
        • 2.2
          21
          Stationary Points
        • 2.3
          22
          Electrical Circuit
        • 2.4
          22
          Gas Dynamics
        • 2.5
          23
          Chemical Reaction
        • 2.6
          24
          Sounding Rocket
        • 2.7
          25
          Chemical Reaction in a Tank
        • 2.8
          26
          Sutherland’s Formula
        • 2.9
          26
          Electromagnetic System
        • 2.10
          27
          Spread of Epidemic
        • 2.11
          28
          Hopfield Network
      • 3
        29
        Physical Model Building
        • 3.1
          29
          DC Motor with Load
        • 3.2
          30
          Diesel Transmission
        • 3.3
          30
          Vehicle Dynamics
        • 3.4
          33
          Aircraft Dynamics
        • 3.5
          34
          Singular State-Space Equations
        • 3.6
          35
          Mechanical Gearing
        • 3.7
          35
          Truck Propulsion System
        • 3.8
          37
          Seismometer
        • 3.9
          38
          Pilot Ejection System
        • 3.10
          40
          Immunological System
        • 3.11
          41
          Warehouse Management
        • 3.12
          42
          AC Motor
        • 3.13
          43
          Thread Winding
        • 3.14
          46
          Nerve Impulses
        • 3.15
          49
          Solar Heated House
        • 3.16
          52
          Dimensionless Variables
        • 3.17
          53
          Buckingham’s Theorem
      • 4
        55
        Simplified Models
        • 4.1
          55
          Population Statistics
        • 4.2
          55
          Signal Transmission
        • 4.3
          56
          Liquid Flow in Pipes
        • 4.4
          58
          Car Dynamics
        • 4.5
          59
          Basic DC Motor with Load
        • 4.6
          59
          Transformer with Iron Core
        • 4.7
          60
          Steam Pressure
        • 4.8
          61
          Impulses in Nerve Fibers
        • 4.9
          62
          Widely Separated Time Constants
      • 5
        63
        Bond Graphs
        • 5.1
          63
          Simple Systems
        • 5.2
          64
          Causality
        • 5.3
          65
          Analogies between Different Physical Domains
        • 5.4
          66
          Diesel Transmission
        • 5.5
          66
          Vehicle Dynamics
        • 5.6
          66
          Measuring Torque
        • 5.7
          67
          Hydraulic-Mechanical System
        • 5.8
          67
          An Electric and a Thermal System
        • 5.9
          69
          Generalized Diode
        • 5.10
          70
          Stiff Coupling
        • 5.11
          71
          Transformations between Loop and Tree Structures
        • 5.12
          72
          Hydraulic-Mechanical Flow System
      • 6
        73
        DAE Models and Modelica
        • 6.1
          73
          Electric Circuit
        • 6.2
          74
          Rotating Masses
        • 6.3
          74
          Nonlinear Resistances
        • 6.4
          75
          Mechanical System
        • 6.5
          75
          Modelica and Simscape Libraries
        • 6.6
          76
          Electromechanics in Modelica or Simscape
        • 6.7
          77
          Electrical Component
        • 6.8
          78
          Thermal Component
      • 7
        79
        Disturbance Modeling
        • 7.1
          79
          Spectra and Cross Spectra
        • 7.2
          79
          Signal Spectra
        • 7.3
          80
          Spectral Factorization in Discrete Time
        • 7.4
          80
          Spectral Factorization in Continuous Time
        • 7.5
          80
          Wind Disturbance on Missile
        • 7.6
          81
          Covariance Function
        • 7.7
          81
          Covariance Function and Spectra
        • 7.8
          82
          MA Process
        • 7.9
          82
          AR Process
        • 7.10
          82
          Spectra and Frequency Functions
      • 8
        83
        Step Response, Frequency and Correlation Analysis
        • 8.1
          83
          Step Response Analysis
        • 8.2
          84
          Frequency Analysis 1
        • 8.3
          84
          Frequency Analysis 2
        • 8.4
          85
          Spectral Analysis
        • 8.5
          86
          Correlation Analysis
        • 8.6
          87
          Spectrum of Signal with Many Resonances
        • 8.7
          87
          Cross Covariance Function
      • 9
        89
        Parameter Estimation in Linear Models
        • 9.1
          89
          Sampling
        • 9.2
          89
          Link between Continuous and Discrete Systems 1
        • 9.3
          90
          Link between Continuous and Discrete Systems 2
        • 9.4
          90
          Prediction
        • 9.5
          91
          Parameter Estimation
        • 9.6
          91
          Least Squares Estimation
        • 9.7
          92
          Least Squares Estimation with Constant
        • 9.8
          92
          Parameter Estimation under Feedback
        • 9.9
          93
          Accuracy in Parameter Estimation 1
        • 9.10
          93
          Accuracy in Parameter Estimation 2
        • 9.11
          94
          Convergence of the Estimate 1
        • 9.12
          95
          Convergence of the Estimate 2
        • 9.13
          95
          Chemical Reactor
        • 9.14
          96
          Industrial Evaporator
        • 9.15
          96
          A Climate Model
        • 9.16
          98
          Regularization – Basic Properties
        • 9.17
          98
          Regularization – Impulse Response Estimation
      • 10
        101
        Parameter Estimation in Nonlinear Models
        • 10.1
          101
          Parameter Estimation in a Neural Network
        • 10.2
          101
          Local Models
        • 10.3
          102
          Parameterized Basis Functions
        • 10.4
          102
          Nonlinear Regression Models
        • 10.5
          103
          Solar Heated House Dynamics
        • 10.6
          103
          Nonlinear Regressors
        • 10.7
          105
          Linear and Nonlinear Models of a Hydraulic Crane
      • 11
        107
        Simulation of Models
        • 11.1
          107
          Block Diagram to Transfer Function
        • 11.2
          107
          Block Diagram to Differential Equation
        • 11.3
          108
          Block Diagram to State-Space Model
        • 11.4
          108
          Differential Equation to Block Diagram
        • 11.5
          108
          Time Constants
        • 11.6
          109
          Scaling 1
        • 11.7
          109
          Scaling 2
        • 11.8
          110
          Rocket Sleigh and Scaling
        • 11.9
          110
          Hydraulic Servo and Scaling
        • 11.10
          111
          Representation Error in Computer
        • 11.11
          111
          Euler’s Method
        • 11.12
          112
          Accuracy when Using Euler’s Method
        • 11.13
          112
          An Adams Method
        • 11.14
          113
          A Runge–Kutta Method
        • 11.15
          113
          DAE Simulation
  • 115
    II Solutions
      • 1
        117
        Basic Modeling
        • 1.1
          117
          Class Rules of Natchez Indians
        • 1.2
          118
          Richardson’s Arms Race Model
        • 1.3
          120
          Group Dynamics – a Sociological Model
        • 1.4
          120
          Bacterial Culture
        • 1.5
          122
          The Peter Principle
        • 1.6
          125
          Insulin – Sugar Modeling
        • 1.7
          126
          Tank System
      • 2
        129
        Linear/Nonlinear Systems and Linearization
        • 2.1
          129
          Is the System Linear?
        • 2.2
          132
          Stationary Points
        • 2.3
          132
          Electrical Circuit
        • 2.4
          133
          Gas Dynamics
        • 2.5
          134
          Chemical Reaction
        • 2.6
          135
          Sounding Rocket
        • 2.7
          138
          Chemical Reaction in a Tank
        • 2.8
          139
          Sutherland’s Formula
        • 2.9
          140
          Electromagnetic System
        • 2.10
          142
          Spread of Epidemic
        • 2.11
          143
          Hopfield Network
      • 3
        147
        Physical Model Building
        • 3.1
          147
          DC Motor with Load
        • 3.2
          148
          Diesel Transmission
        • 3.3
          148
          Vehicle Dynamics
        • 3.4
          155
          Aircraft Dynamics
        • 3.5
          156
          Singular State-Space Equations
        • 3.6
          158
          Mechanical Gearing
        • 3.7
          160
          Truck Propulsion System
        • 3.8
          162
          Seismometer
        • 3.9
          164
          Pilot Ejection System
        • 3.10
          165
          Immunological System
        • 3.11
          166
          Warehouse Management
        • 3.12
          167
          AC Motor
        • 3.13
          168
          Thread Winding
        • 3.14
          170
          Nerve Impulses
        • 3.15
          170
          Solar Heated House
        • 3.16
          175
          Dimensionless Variables
        • 3.17
          176
          Buckingham’s Theorem
      • 4
        179
        Simplified Models
        • 4.1
          179
          Population Statistics
        • 4.2
          180
          Signal Transmission
        • 4.3
          181
          Liquid Flow in Pipes
        • 4.4
          184
          Car Dynamics
        • 4.5
          185
          Basic DC Motor with Load
        • 4.6
          186
          Transformer with Iron Core
        • 4.7
          187
          Steam Pressure
        • 4.8
          188
          Impulses in Nerve Fibers
        • 4.9
          189
          Widely Separated Time Constants
      • 5
        191
        Bond Graphs
        • 5.1
          191
          Simple Systems
        • 5.2
          195
          Causality
        • 5.3
          197
          Analogies between Different Physical Domains
        • 5.4
          198
          Diesel Transmission
        • 5.5
          199
          Vehicle Dynamics
        • 5.6
          201
          Measuring Torque
        • 5.7
          204
          Hydraulic-Mechanical System
        • 5.8
          206
          An Electric and a Thermal System
        • 5.9
          208
          Generalized Diode
        • 5.10
          212
          Stiff Coupling
        • 5.11
          220
          Transformations between Loop and Tree Structures
        • 5.12
          222
          Hydraulic-Mechanical Flow System
      • 6
        225
        DAE Models and Modelica
        • 6.1
          225
          Electric Circuit
        • 6.2
          227
          Rotating Masses
        • 6.3
          228
          Nonlinear Resistances
        • 6.4
          229
          Mechanical System
        • 6.5
          230
          Modelica and Simscape Libraries
        • 6.6
          233
          Electromechanics in Modelica or Simscape
        • 6.7
          237
          Electrical Component
        • 6.8
          237
          Thermal Component
      • 7
        239
        Disturbance Modeling
        • 7.1
          239
          Spectra and Cross Spectra
        • 7.2
          240
          Signal Spectra
        • 7.3
          242
          Spectral Factorization in Discrete Time
        • 7.4
          243
          Spectral Factorization in Continuous Time
        • 7.5
          245
          Wind Disturbance on Missile
        • 7.6
          245
          Covariance Function
        • 7.7
          248
          Covariance Function and Spectra
        • 7.8
          248
          MA Process
        • 7.9
          249
          AR Process
        • 7.10
          251
          Spectra and Frequency Functions
      • 8
        253
        Step Response, Frequency and Correlation Analysis
        • 8.1
          253
          Step Response Analysis
        • 8.2
          253
          Frequency Analysis 1
        • 8.3
          254
          Frequency Analysis 2
        • 8.4
          254
          Spectral Analysis
        • 8.5
          255
          Correlation Analysis
        • 8.6
          256
          Spectrum of Signal with Many Resonances
        • 8.7
          257
          Cross Covariance Function
      • 9
        259
        Parameter Estimation in Linear Models
        • 9.1
          259
Information

Språk:

Engelska

ISBN:

9789144127897

Utgivningsår:

2018

Artikelnummer:

40018-01

Upplaga:

Första

Sidantal:

320
 ;