Convert model from continuous to discrete time
sysd = c2d(sys,Ts)
sysd = c2d(sys,Ts,method)
sysd = c2d(sys,Ts,opts)
[sysd,G]
= c2d(sys,Ts,method)
[sysd,G]
= c2d(sys,Ts,opts)
discretizes
the continuoustime dynamic
system model sysd
= c2d(sys
,Ts
)sys
using zeroorder
hold on the inputs and a sample time of Ts
seconds.
discretizes sysd
= c2d(sys
,Ts
,method
)sys
using
the specified discretization method method
.
discretizes sysd
= c2d(sys
,Ts
,opts
)sys
using
the option set opts
, specified using the c2dOptions
command.
[
returns
a matrix, sysd
,G
]
= c2d(sys
,Ts
,method
)G
that maps the continuous initial conditions x_{0} and u_{0} of
the statespace model sys
to the discretetime
initial state vector x[0]. method
is
optional. To specify additional discretization options, use [
.sysd
,G
]
= c2d(sys
,Ts
,opts
)

Continuoustime dynamic
system model (except frequency response data models).
The following identified linear systems cannot be discretized directly:
For the syntax 

Sample time. 

Discretization method, specified as one of the following values:
For more information about discretization methods, see ContinuousDiscrete Conversion Methods. 

Discretization options. Create 

Discretetime model of the same type as the input system When


Matrix relating continuoustime initial conditions x_{0} and u_{0} of
the statespace model $$x\left[\text{\hspace{0.05em}}0\right]=G\cdot \left[\begin{array}{c}{x}_{0}\\ {u}_{0}\end{array}\right]$$ c2d pads the matrix G with
zeroes to account for additional states introduced by discretizing
those delays. See ContinuousDiscrete Conversion Methods for a discussion
of modeling time delays in discretized systems.

Use the syntax sysd = c2d(sys,Ts,method)
to
discretize sys
using the default options for method
.
To specify additional discretization options, use the syntax sysd
= c2d(sys,Ts,opts)
.
To specify the tustin
method with
frequency prewarping (formerly known as the 'prewarp'
method),
use the PrewarpFrequency
option of c2dOptions
.
For information about the algorithms for each c2d
conversion
method, see ContinuousDiscrete Conversion Methods.
c2dOptions
 d2c
 d2d
 thiran
 translatecov