Inhaltsangabe
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 R
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