Represents the system as the continuous- or discrete-time 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. ZerosPolesGain systems inherit additional functionality from the lti, respectively the dlti classes, depending on which system representation is used.
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. It is better to convert to the specific system representation first. For example, call sys = sys.to_ss() before accessing/changing the A, B, C, D system matrices.
The ZerosPolesGain class can be instantiated with 1 or 3 arguments. The following gives the number of input arguments and their interpretation:
- 1: lti or dlti system: (StateSpace, TransferFunction or ZerosPolesGain)
- 3: array_like: (zeros, poles, gain)
Sampling time [s] of the discrete-time systems. Defaults to None (continuous-time). Must be specified as a keyword argument, for example, dt=0.1.
Linear Time Invariant system class in zeros, poles, gain form.
from scipy import signal
signal.ZerosPolesGain([1, 2], [3, 4], 5)
signal.ZerosPolesGain([1, 2], [3, 4], 5, dt=0.1)
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