control.matlab.lsim

control.matlab.lsim(sys, U=0.0, T=None, X0=0.0)

Simulate the output of a linear system.

As a convenience for parameters U and X0, numbers (scalars) are converted to constant arrays with the correct shape. The correct shape is inferred from arguments sys and T.

Parameters:

sysStateSpace or TransferFunction

LTI system to simulate.

Uarray_like or number, optional

Input array giving input at each time T (default = 0). If U is None or 0, a special algorithm is used. This special algorithm is faster than the general algorithm, which is used otherwise.

Tarray_like, optional for discrete LTI sys

Time steps at which the input is defined; values must be evenly spaced.

X0array_like or number, optional

Initial condition (default = 0).

Returns:

youtarray

Response of the system.

Tarray

Time values of the output.

xoutarray

Time evolution of the state vector.

See also

step, initial, impulse

Examples

>>> from control.matlab import rss, lsim

>>> G = rss(4)
>>> T = np.linspace(0,10)
>>> yout, T, xout = lsim(G, T=T)