Supported Continuous-Time and Discrete-Time Models
For linear and nonlinear ODEs (grey-box models), you can specify
any ordinary differential or difference equation to represent your
continuous-time or discrete-time model in state-space form, respectively.
In the linear case, both time-domain and frequency-domain data are
supported. In the nonlinear case, only time-domain data is supported.
For black-box models, the following tables summarize supported
continuous-time and discrete-time models.
Supported Continuous-Time Models
| Model Type | Description |
|---|
| Low-order
transfer functions (process models) | Estimate low-order process models for up to three free poles
from either time- or frequency-domain data. |
Linear input-output polynomial
models | To get a linear, continuous-time model of arbitrary structure
from time-domain data, you can estimate a discrete-time model, and
then use d2c to transform it
into a continuous-time model.
For frequency-domain
data, you can directly estimate only the ARX and output-error (OE)
continuous-time polynomial models by setting the sampling interval
of the data to 0. Other structures include noise
models and are not supported for frequency-domain data. |
| State-space models | To get a linear, continuous-time model of arbitrary structure
for time-domain data, you can estimate a discrete-time model, and
then use d2c to transform it
into a continuous-time model.
For frequency-domain
data, you can estimate continuous-time state-space models directly. |
| Linear
ODEs (grey-box models | Estimate ordinary differential equations (ODEs) from either
time- or frequency-domain data. |
| Nonlinear ODEs (grey-box) models | Estimate arbitrary differential equations (ODEs) from time-domain
data. |
Supported Discrete-Time Models
| Model Type | Description |
|---|
| Linear, input-output polynomial
models | Estimate arbitrary-order, linear parametric models from time-
or frequency-domain data.
To get a discrete-time model,
your data sampling interval must be set to the (nonzero) value you
used to sample in your experiment. |
Nonlinear black-box models | Estimate from time-domain data only. |
| Linear
ODEs (grey-box) models | Estimate ordinary difference equations from time- or frequency-domain
data. |
| Nonlinear ODEs (grey-box) models | Estimate ordinary difference equations from time-domain data. |
 | Supported Models for Time- and Frequency-Domain Data | | Commands for Model Estimation |  |
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