ctrb (Control Design and Simulation Module, MathScript Function)
Member of the ssanals class.
Syntax
Cb = ctrb(SysInSS)
Cb = ctrb(A, B)
Description
Calculates the controllability matrix of the SysInSS system model. You use the controllability matrix to determine if the given model is controllable. An n-th order model is controllable if the controllability matrix is full rank, meaning the rank of the controllability matrix equals n.
Inputs
| Name | Description |
| SysInSS | Specifies a linear time-invariant (LTI) model in state-space form. |
| A | Specifies an n x n state matrix, where n is the number of states. The default is an empty matrix. A is a real matrix. |
| B | Specifies an n x m input matrix, where m is the number of inputs. The default is an empty matrix. B is a real matrix. |
Outputs
| Name | Description |
| Cb | Returns the controllability matrix of the SysInSS model. Cb is a real matrix. |
Examples
SysInSS = ss([1, 1; -1, 2], [1, 2]', [2, 1], 0)Cb = ctrb(SysInSS)