| << lyap | Control System functions | nyquist >> |
| [Am, Bm, Cm, Dm] = minreal(A, B, C, D) |
| [Am, Bm, Cm, Dm] = minreal(A, B, C, D, tol) |
| sysOut = minreal(sysIn) |
| sysOut = minreal(sysIn, tol) |
Represents the system's state-transition matrix. It describes how the system's internal state evolves over time.
Describes the input-to-state mapping. It shows how control inputs affect the change in the system's state.
Represents the state-to-output mapping. It shows how the system's state variables are related to the system's outputs.
Describes the direct feedthrough from inputs to outputs. In many systems, this matrix is zero because there is no direct feedthrough.
scalar real (tolerance).
LTI model.
a minimal realization of the state-space system A, B, C, D.
a minimal realization of LTI input.
minreal function reduces state-space models by eliminating uncontrollable or unobservable states.
In transfer functions or zero-pole-gain models, it cancels pole-zero pairs. The resulting model maintains the same response characteristics as the original model but with minimal order.
When using sysOut = minreal(sysIn, tol), you can customize the tolerance for state elimination or pole-zero cancellation.
The default tolerance is set to sqrt(eps), and increasing this value prompts more aggressive cancellations, potentially further simplifying the model.
sysIn = ss([1 0;0 -2], [-1;0], [2 1], 0, 3.2);
sysOut = minreal(sysIn)
| Version | Description |
|---|---|
| 1.0.0 | initial version |
Allan CORNET