minimal (MathScript RT Module Function)
- Updated2023-03-14
- 1 minute(s) read
minimal (MathScript RT Module Function)
Owning Class: reduce
Requires: Control Design and Simulation Module and MathScript RT Module
Syntax
SysMin = minimal(SysIn)
SysMin = minimal(SysIn, tol)
Legacy Name: minreal
Description
Returns the minimal realization of a system model. For state-space models, a minimal realization removes all uncontrollable and unobservable states. For transfer function and zero-pole-gain models, a minimal realization cancels all matching zero-pole pairs.
Inputs
| Name | Description |
|---|---|
| SysIn | Specifies a linear time-invariant (LTI) model in transfer function, zero-pole-gain, or state-space form. |
| tol | Specifies the threshold this function uses to determine the modes to eliminate. For state-space models, tol specifies the controllability and observability thresholds. For transfer function and zero-pole-gain models, tol specifies zero-pole cancellation closeness. The default is 1E-12. tol is a real scalar. |
Outputs
| Name | Description |
|---|---|
| SysMin | Returns the minimal realization of the SysIn model. SysMin is an LTI model in transfer function, zero-pole-gain, or state-space form. |
Details
The following table lists the support characteristics of this function.
| Supported in the LabVIEW Run-Time Engine | Yes |
| Supported on RT targets | Yes |
| Suitable for bounded execution times on RT | Not characterized |
Examples
z = 1
p = [1, -1]
k = 1
SysIn = zpk(z, p, k)
SysMin = minimal(SysIn)