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.. currentmodule:: control

Control System Classes

Input/Output System Classes

The classes listed below are used to represent models of input/output systems (both linear time-invariant and nonlinear). They are usually created from factory functions such as :func:`tf` and :func:`ss`, so the user should normally not need to instantiate these directly.

The following figure illustrates the relationship between the classes:

.. autosummary::
   :toctree: generated/
   :template: custom-class-template.rst
   :nosignatures:

   InputOutputSystem
   NonlinearIOSystem
   LTI
   StateSpace
   TransferFunction
   FrequencyResponseData
   InterconnectedSystem
   LinearICSystem

The time response of an input/output system is represented using a special :class:`NamedSignal` class that allows the individual signal elements to be access using signal names in place of integer offsets:

.. autosummary::
   :toctree: generated/
   :template: extended-class-template.rst
   :nosignatures:

   NamedSignal


Response and Plotting Classes

These classes are used as the outputs of _response, _map, and _plot functions:

.. autosummary::
   :toctree: generated/
   :template: custom-class-template.rst
   :nosignatures:

   ControlPlot
   FrequencyResponseData
   NyquistResponseData
   PoleZeroData
   TimeResponseData

In addition, the following classes are used to store lists of responses, which can then be plotted using the .plot() method:

.. autosummary::
   :toctree: generated/
   :template: list-class-template.rst
   :nosignatures:

   FrequencyResponseList
   NyquistResponseList
   PoleZeroList
   TimeResponseList

More information on the functions used to create these classes can be found in the :ref:`response-chapter` chapter.

Nonlinear System Classes

These classes are used for various nonlinear input/output system operations:

.. autosummary::
   :toctree: generated/
   :template: custom-class-template.rst
   :nosignatures:

   DescribingFunctionNonlinearity
   DescribingFunctionResponse
   flatsys.BasisFamily
   flatsys.BezierFamily
   flatsys.BSplineFamily
   flatsys.FlatSystem
   flatsys.LinearFlatSystem
   flatsys.PolyFamily
   flatsys.SystemTrajectory
   OperatingPoint
   optimal.OptimalControlProblem
   optimal.OptimalControlResult
   optimal.OptimalEstimationProblem
   optimal.OptimalEstimationResult

More information on the functions used to create these classes can be found in the :ref:`nonlinear-systems` chapter.