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Mathematica 9.0 control systems documentation

Nasser M. Abbasi

July 2, 2015 page compiled on July 2, 2015 at 5:19pm

Contents

1 Basic Modeling
 1.1 Core Models
  1.1.1 TransferFunctionModel
  1.1.2 StateSpaceModel
  1.1.3 SystemsModelDimensions
  1.1.4 SystemsModelOrder
 1.2 Models with Time Delays
  1.2.1 Modeling and Simulation
   1.2.1.1 SystemsModelDelay
   1.2.1.2 StateSpaceModel
   1.2.1.3 TransferFunctionModel
  1.2.2 Models with Algebraic Constraints
  1.2.3 Model Transformations
  1.2.4 Sampling and Inverse Sampling
  1.2.5 Options
 1.3 Model Connections and Manipulations
  1.3.1 Model Connections
  1.3.2 Model Manipulations
 1.4 Model Simulations
 1.5 Classical Analysis and Design
  1.5.1 Frequency Responses
  1.5.2 PID Tuning
  1.5.3 Options
 1.6 Analysis of State-Space Models
  1.6.1 Controllability and Observability Properties
  1.6.2 Controllability and Observability Transformations
  1.6.3 General Transformations
 1.7 Design using State-Space Models
  1.7.1 Pole Placement
  1.7.2 Optimal Control and Estimation
  1.7.3 Controllers and Estimators
 1.8 Matrix Equation Solvers

Attempt to document flow of Mathematica 9.0 control systems functions as shown in the documentation center.

Chapter 1
Basic Modeling

1.1 Core Models

1.1.1 TransferFunctionModel

1.1.2 StateSpaceModel

1.1.3 SystemsModelDimensions

1.1.4 SystemsModelOrder

1.2 Models with Time Delays

1.2.1 Modeling and Simulation

1.2.1.1 SystemsModelDelay
1.2.1.2 StateSpaceModel
1.2.1.3 TransferFunctionModel
1.2.1.3.1 Model Connections    1.2.1.3.1.1 SystemsModelSeriesConnect    1.2.1.3.1.2 SystemsModelFeedbackConnect    1.2.1.3.1.3 SystemsModelParallelConnect    1.2.1.3.1.4 SystemsModelStateFeedbackConnect  1.2.1.3.2 Model Manipulations    1.2.1.3.2.1 SystemsModelDelete    1.2.1.3.2.2 SystemsModelExtract 

1.2.2 Models with Algebraic Constraints

1.2.3 Model Transformations

1.2.4 Sampling and Inverse Sampling

1.2.5 Options

1.3 Model Connections and Manipulations

1.3.1 Model Connections

1.3.2 Model Manipulations

1.4 Model Simulations

1.5 Classical Analysis and Design

RootLocusPlot

1.5.1 Frequency Responses

1.5.2 PID Tuning

1.5.3 Options

1.6 Analysis of State-Space Models

1.6.1 Controllability and Observability Properties

1.6.2 Controllability and Observability Transformations

1.6.3 General Transformations

1.7 Design using State-Space Models

1.7.1 Pole Placement

1.7.2 Optimal Control and Estimation

1.7.3 Controllers and Estimators

1.8 Matrix Equation Solvers