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control.frd

control.frd(frdata, omega[, dt])[source]

Construct a frequency response data (FRD) model.

A frequency response data model stores the (measured) frequency response of a system. This factory function can be called in different ways:

frd(frdata, omega)

Create an frd model with the given response data, in the form of complex response vector, at matching frequencies omega [in rad/s].

frd(sys, omega)

Convert an LTI system into an frd model with data at frequencies omega.

Parameters:

frdataarray_like or LTI system: Complex vector with the system response or an LTI system that can be used to compute the frequency response at a list of frequencies.
sysStateSpace or TransferFunction: A linear system that will be evaluated for frequency response data.
omegaarray_like: Vector of frequencies at which the response is evaluated.
dtfloat, True, or None: System timebase.
smoothbool, optional: If True, create an interpolation function that allows the frequency response to be computed at any frequency within the range of frequencies give in omega. If False (default), frequency response can only be obtained at the frequencies specified in omega.

Returns:

Other Parameters:

inputs, outputsstr, or list of str, optional: List of strings that name the individual signals of the transformed system. If not given, the inputs and outputs are the same as the original system.
input_prefix, output_prefixstring, optional: Set the prefix for input and output signals. Defaults = ‘u’, ‘y’.
namestring, optional: Set the name of the system. If unspecified and the system is sampled from an existing system, the new system name is determined by adding the prefix and suffix strings in config.defaults['iosys.sampled_system_name_prefix'] and config.defaults['iosys.sampled_system_name_suffix'], with the default being to add the suffix ‘$sampled’. Otherwise, a generic name ‘sys[id]’ is generated with a unique integer id

Examples

>>> # Create from measurements
>>> response = [1.0, 1.0, 0.5]
>>> omega = [1, 10, 100]
>>> F = ct.frd(response, omega)

>>> G = ct.tf([1], [1, 1])
>>> omega = [1, 10, 100]
>>> F = ct.frd(G, omega)

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