5.1.6.5. scipy.signal.ZerosPolesGain

class scipy.signal.ZerosPolesGain(*system)[source]

Linear Time Invariant system class in zeros, poles, gain form.

Represents the system as the transfer function \(H(s)=k \prod_i (s - z[i]) / \prod_j (s - p[j])\), where \(k\) is the gain, \(z\) are the zeros and \(p\) are the poles.

Parameters:

*system : arguments

The ZerosPolesGain class can be instantiated with 1 or 3 arguments. The following gives the number of input arguments and their interpretation:

  • 1: lti system: (StateSpace, TransferFunction or ZerosPolesGain)
  • 3: array_like: (zeros, poles, gain)

See also

TransferFunction, StateSpace, lti, zpk2ss, zpk2tf, zpk2sos

Notes

Changing the value of properties that are not part of the ZerosPolesGain system representation (such as the A, B, C, D state-space matrices) is very inefficient and may lead to numerical inaccuracies.

__init__(*system)[source]

Initialize the zeros, poles, gain LTI system.

Methods

__init__(*system) Initialize the zeros, poles, gain LTI system.
bode([w, n]) Calculate Bode magnitude and phase data of a continuous-time system.
freqresp([w, n]) Calculate the frequency response of a continuous-time system.
impulse([X0, T, N]) Return the impulse response of a continuous-time system.
output(U, T[, X0]) Return the response of a continuous-time system to input U.
step([X0, T, N]) Return the step response of a continuous-time system.
to_ss() Convert system representation to StateSpace.
to_tf() Convert system representation to TransferFunction.
to_zpk() Return a copy of the current ‘ZerosPolesGain’ system.

Attributes

A State matrix of the StateSpace system.
B Input matrix of the StateSpace system.
C Output matrix of the StateSpace system.
D Feedthrough matrix of the StateSpace system.
den Denominator of the TransferFunction system.
gain Gain of the ZerosPolesGain system.
num Numerator of the TransferFunction system.
poles Poles of the ZerosPolesGain system.
zeros Zeros of the ZerosPolesGain system.