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Author:   Krishna K. Singh ,  Gayatri Agnihotri
Publisher:   Springer London Ltd
Imprint:   Springer London Ltd
Dimensions:   Width: 17.00cm , Height: 2.60cm , Length: 24.40cm
Weight:   0.874kg
ISBN:  

9781852333379

ISBN 10:   1852333375
Pages:   488
Publication Date:   29 September 2000
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1. System Representation and Modeling.- 1.1 Properties of the Models.- 1.1.1 Generic Properties.- 1.1.2 Model-specific Properties.- 1.2 Creating a Model.- 1.2.1 Zero/Pole/Gain (zpk) Model.- 1.2.2 Transfer Function (tf) Model.- 1.2.3 State Space (ss) Model.- 1.2.3.1 Standard State Space Model.- 1.2.3.2 Descriptor State Space Model.- 1.2.4 Frequency Response Data (frd) Model.- 1.2.5 Generation of Random Stahle Models.- Exercise for Chapter 1.- 2. Model Manipulation.- 2.1 The Precedence Rule and the Law of Property Inheritance.- 2.1.1 The Precedence Rule.- 2.1.2 The Law of Property Inheritance.- 2.2 Arithmetic Operations on Models.- 2.2.1 Addition and Subtraction.- 2.2.2 Multiplication.- 2.2.3 Inversion.- 2.2.4 Right Divide.- 2.2.5 Left Divide.- 2.2.6 Transposition.- 2.2.7 Pertransposition.- 2.2.8 Power of Model.- 2.2.9 Stacking.- 2.3 Interconnection of Models.- 2.3.1 Concatenation.- 2.3.2 Append.- 2.3.3 Augstate.- 2.3.4 Connect.- 2.3.5 Feedback.- 2.3.6 Linear Fractional Transformation (lft) Connection.- 2.3.7 Parallel and Series Connection.- 2.4 The Linear Time Invariant (LTI) Subsystem.- 2.4.1 Obtaining a Subsystem.- 2.4.2 Modifying a System/Subsystem.- 2.4.3 Subsystem Manipulations.- Exercise for Chapter 2.- 3. Getting Information from the Models.- 3.1 Model-specific Information.- 3.1.1 Zero/Pole/Gain Model.- 3.1.2 Transfer Function Model.- 3.1.3 State Space Model.- 3.1.4 Frequency Response Data Model.- 3.2 Direct Property Referencing Method of Getting Information.- 3.3 The `get' Function.- 3.4 Information about Model Dimensions and Characteristics.- 3.5 Conversion of Models.- 3.5.1 Automatic Conversion.- 3.5.2 Conversion by Specifying.- 3.5.3 Continuous/Discrete Conversions.- 3.6 A Few Words on Model Properties Again.- 3.6.1 Overruling the Precedence Rule and the Law of Property Inheritance.- 3.6.2 Setting/Modifying the LTI Properties.- 3.6.3 More on Time Delays.- 3.6.3.1 Mapping Discrete-time Delays to Poles at the Origin.- 3.6.3.2 Pade Approximation of Time Delays.- 3.6.3.3 Computing Time Delays of LTI Models.- Exercise for Chapter 3.- 4. Model Analysis.- 4.1 Model Dynamics of Control System.- 4.1.1 System Poles.- 4.1.2 System Zeros.- 4.1.3 Low-frequency or DC Gain.- 4.1.4 Pole-zero Map.- 4.1.5 H2 and L? Norms.- 4.1.6 Covariance of Response to White Noise.- 4.1.7 Natural Frequency and Damping of LTI Model Poles.- 4.1.8 Sorting Eigenvalues.- 4.2 Time Response Analysis of Control Systems.- 4.2.1 Response of a Model to Standard Signals.- 4.2.2 Response of a Model to Arbitrary Periodic Signals.- 4.2.3 The Unit Step Function.- 4.3 Frequency Response Analysis of Control Systems.- 4.3.1 Obtaining Frequency Response Plots.- 4.3.2 Getting Information from the Plots.- 4.3.2.1 Evaluating Frequency Response over a Frequency Range.- 4.3.2.2 Evaluating Frequency Response at a Particular Frequency.- 4.3.2.3 Evaluating Gain Margin, Phase Margin, Crossover Frequencies and Judging Stability.- 4.4 State Space Analysis of Control Systems.- 4.4.1 Eigenvalues and Eigenvectors.- 4.4.2 Initial Condition Response of ss Model.- 4.4.3 Canonical State Space Realization.- 4.4.4 Controlability and Observability.- 4.4.5 Controlability and Observability Gramians.- 4.4.6 Balancing of ss Model.- 4.4.6.1 Using Diagonal Similarity.- 4.4.6.2 Using Gramian-based Balancing of State Space Realizations.- 4.4.7 State Reduction of ss Model.- 4.4.7.1 The modred Function.- 4.4.7.2 The minreal Function.- 4.4.7.3 The sminreal Function.- Exercise for Chapter 4.- 5. The Control System Toolbox's GUIs.- 5.1 The LTI Viewer.- 5.1.1 Initializing the LTI Viewer.- 5.1.2 More about the ltiview Function.- 5.1.3 The LTI Viewer Environment.- 5.1.4 The Bottom Command Bar.- 5.1.5 The Right Click Menus.- 5.1.6 More about Clicking on the Plots.- 5.1.7 A Few Words on the LTI Arrays Response Plots.- 5.1.7.1 The Model Selector for LTI Arrays Window.- 5.2 The Root Locus Design GUI.- 5.2.1 Initializing the Root Locus Design GUI.- 5.2.2 The Root Locus Design GUI Environment.- 5.2.3 Using Root Locus Design GUI.- Exercise for Chapter 5.- 6. Control System Design through Simulink (R).- 6.1 System Representation/Modeling.- 6.1.1 Modeling Using Simulink (R) Library.- 6.1.2 Modeling Using Control System Toolbox Library.- 6.2 Model Manipulation.- 6.2.1 Arithmetic Operations on Models.- 6.2.2 Interconnection of Models.- 6.3 Model Analysis.- 6.4 The Simulink (R) LTI Viewer.- 6.4.1 Invoking and Using the Simulink (R) LTI Viewer.- 6.5 A Few Words of Caution.- Exercise for Chapter 6.- 7. Design of Compensators for Systems.- 7.1 Classical Methods for Design.- 7.1.1 Obtaining Root Locus Plot for a Model.- 7.1.2 Selecting Feedback Gain from Root Locus Plot.- 7.1.3 Designing Compensator Using Root Locus Technique.- 7.2 Solution of Lyapunov's Equation and Stability.- 7.3 Modern Methods for Design.- 7.3.1 Design of State Feedback Controller.- 7.3.1.1 For SISO Models.- 7.3.1.2 For MIMO Models.- 7.3.2 Design of State Estimator/Observer.- 7.3.3 Design of State Regulator.- 7.4 Design of Optimal Compensators.- 7.4.1 Riccati Equations.- 7.4.1.1 Solution of Continuous-time Algebraic Riccati Equations.- 7.4.1.2 Solution of Discrete-time Algebraic Riccati Equations.- 7.4.2 Design of Kalman State Estimator.- 7.4.2.1 Kalman Estimator for Continuous-/Discrete-time Models.- 7.4.2.2 Discrete Kalman State Estimator for Continuous-time Models.- 7.4.3 Design of Linear Quadratic State Feedback Regulator.- 7.4.3.1 Linear Quadratic State Feedback Regulator for Continuous Models.- 7.4.3.2 Linear Quadratic State Feedback Regulator for Discrete Models.- 7.4.3.3 Linear Quadratic State Feedback Regulator with Output Weighting.- 7.4.3.4 Discrete Linear Quadratic State Feedback Regulator for Continuous Model.- 7.4.4 Design of Linear Quadratic Gaussian Regulator.- Exercise for Chapter 7.- 8. Some Simple Applications.- 8.1 Which Method to Choose.- 8.2 Electrical Systems.- 8.2.1 Purely Resistive Circuit.- 8.2.2 Purely Inductive Circuit.- 8.2.3 Purely Capacitive Circuit.- 8.2.4 Series RL Circuit.- 8.2.4.1 Simulation from the Matlab (R) Window.- 8.2.4.1 Simulation from the Simulink (R) Window.- 8.2.5 Output Characteristics of a PNP Transistor (Linear Portion in Common Emitter Configuration).- 8.2.6 Series RLC Circuit.- 8.2.7 Bandpass Filter.- 8.3 Mechanical System.- 8.3.1 Translational Mechanical Systems.- 8.3.1.1 Force-displacement System.- 8.3.1.2 Spring-mass-damper-lever System.- 8.3.1.3 Double Spring-mass-damper System.- 8.3.2 Rotational Mechanical Systems.- 8.3.2.1 Spring-inertia-damper System.- 8.3.2.2 Inertia-spring-inertia-damper System.- 8.4 Fluid Systems.- 8.4.1 Hydraulic Systems.- 8.4.1.1 Isolated-tank System.- 8.4.1.2 Interacting-fluid System.- 8.4.2 Pneumatic Systems.- 8.4.1.1 Pneumatic-valve System.- 8.5 Thermal Systems.- 8.5.1 A Mercury-thermometer System.- 8.5.2 Oil-heating System.- Exercise for Chapter 8.- 9. Some Complex Applications.- 9.1 DC Motors.- 9.1.1 Separately-excited DC Motor.- 9.1.2 DC Series Motor.- 9.2 Plunger System.- 9.3 Power-generating Systems.- 9.4 Power-plant System.- 9.5 Pacemaker System.- 9.6 Inverted-pendulum-on-cart System.- 9.7 Essential-oil-extraction Plant.- 9.8 Musical-octave System.- Exercise for Chapter 9.- Appendix A.- Appendix B.- Appendix C.- C.l Plotting some Typical Signals.- Appendix D.- D.l Plotting some Typical Signals.- Appendix E.- References.

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