scipy.signal.lsim2¶

scipy.signal.
lsim2
(system, U=None, T=None, X0=None, **kwargs)[source]¶ Simulate output of a continuoustime linear system, by using the ODE solver
scipy.integrate.odeint
. Parameters
 systeman instance of the
lti
class or a tuple describing the system. The following gives the number of elements in the tuple and the interpretation:
1: (instance of
lti
)2: (num, den)
3: (zeros, poles, gain)
4: (A, B, C, D)
 Uarray_like (1D or 2D), optional
An input array describing the input at each time T. Linear interpolation is used between given times. If there are multiple inputs, then each column of the rank2 array represents an input. If U is not given, the input is assumed to be zero.
 Tarray_like (1D or 2D), optional
The time steps at which the input is defined and at which the output is desired. The default is 101 evenly spaced points on the interval [0,10.0].
 X0array_like (1D), optional
The initial condition of the state vector. If X0 is not given, the initial conditions are assumed to be 0.
 kwargsdict
Additional keyword arguments are passed on to the function odeint. See the notes below for more details.
 systeman instance of the
 Returns
 T1D ndarray
The time values for the output.
 youtndarray
The response of the system.
 xoutndarray
The timeevolution of the statevector.
Notes
This function uses
scipy.integrate.odeint
to solve the system’s differential equations. Additional keyword arguments given tolsim2
are passed on to odeint. See the documentation forscipy.integrate.odeint
for the full list of arguments.If (num, den) is passed in for
system
, coefficients for both the numerator and denominator should be specified in descending exponent order (e.g.s^2 + 3s + 5
would be represented as[1, 3, 5]
).