The Wolfram Language provides a very convenient and natural way to create and manipulate continuous- and discrete-time models of scalar and multivariable systems using data objects. These objects contain all the information of a model, are freely convertible from one to another, can be readily passed from one function to another, and are typeset in the notebook interface in a traditional form, thus providing a very streamlined and efficient workflow. The representation of control systems in the Wolfram Language makes full use of its unique symbolic architecture, providing closed-form answers where traditional systems are limited to numerical solutions. Numerical methods are implemented using modern high-performance and high-precision algorithms.

Core Models

TransferFunctionModel — transfer-function model

StateSpaceModel — state-space model

SystemsModelDimensions  ▪  SystemsModelOrder

Model Transformations

TransferFunctionExpand — expand numerators and denominators of a transfer function

TransferFunctionFactor — factor numerators and denominators of a transfer function

TransferFunctionCancel  ▪  TransferFunctionPoles  ▪  TransferFunctionZeros

Model Approximations

ToContinuousTimeModel — gives the continuous-time approximation of a model

ToDiscreteTimeModel — gives the discrete-time approximation of a model

ContinuousTimeModelQ  ▪  DiscreteTimeModelQ

Sampling and Inverse Sampling

SamplerModel — converts continuous-time signals to discrete-time signals

HolderModel — converts discrete-time signals to continuous-time signals

Options

SamplingPeriod  ▪  SystemsModelLabels  ▪  StateSpaceRealization  ▪  DescriptorStateSpace