ctrb
Controllability matrix.
Syntax
CO = ctrb(SYS)
CO = ctrb(A, B)
Inputs
- SYS
- State-space LTI object.
- A
- The state matrix (n x n), where n is the number of states.
- B
- The input matrix (n x p), where p is the number of inputs.
Outputs
- CO
- The controllability matrix.
Example
Include the ctrb function:
A = [0.3 2;5 -0.6];
B = [.5 -2;3 -.8];
sys=ss(A, B, [], []);
Y=ctrb(sys)Y = [Matrix] 2 x 4
0.50000 -2.00000 6.15000 -2.20000
3.00000 -0.80000 0.70000 -9.52000
% uncontrollable number of states corresponding to the number of singular values below a threshold.
unco = length(A) - rank(X)Comments
The function computes the controllability matrix of a state-space system.