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dlsim(system, u, t=None, x0=None)

Parameters

system : tuple 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)

u : array_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.

t : array_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.

x0 : array_like, optional

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

Returns

tout : ndarray

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

yout : ndarray

System response, as a 1-D array.

xout : ndarray, optional

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

Simulate output of a discrete-time linear system.

See Also

cont2discrete
dimpulse
dstep
lsim

Examples

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

>>> 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.]])
See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

scipy.signal._ltisys.dlti.output scipy.signal._ltisys.dstep scipy.signal._ltisys.dlsim scipy.signal._ltisys.dimpulse

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GitHub : /scipy/signal/_ltisys.py#3404
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