dlsim — SciPy v1.15.3 Manual (original) (raw)

scipy.signal.

scipy.signal.dlsim(system, u, t=None, x0=None)[source]#

Simulate output of a discrete-time linear system.

Parameters:

systemtuple of array_like or instance of dlti

A tuple describing the system. The following gives the number of elements in the tuple and the interpretation:

• 1: (instance of dlti)
• 3: (num, den, dt)
• 4: (zeros, poles, gain, dt)
• 5: (A, B, C, D, dt)

uarray_like

An input array describing the input at each time t (interpolation is assumed between given times). If there are multiple inputs, then each column of the rank-2 array represents an input.

tarray_like, optional

The time steps at which the input is defined. If t is given, it must be the same length as u, and the final value in t determines the number of steps returned in the output.

x0array_like, optional

The initial conditions on the state vector (zero by default).

Returns:

toutndarray

Time values for the output, as a 1-D array.

youtndarray

System response, as a 1-D array.

xoutndarray, optional

Time-evolution of the state-vector. Only generated if the input is aStateSpace system.

Examples

A simple integrator transfer function with a discrete time step of 1.0 could be implemented as:

import numpy as np from scipy import signal tf = ([1.0,], [1.0, -1.0], 1.0) t_in = [0.0, 1.0, 2.0, 3.0] u = np.asarray([0.0, 0.0, 1.0, 1.0]) t_out, y = signal.dlsim(tf, u, t=t_in) y.T array([[ 0., 0., 0., 1.]])