[A_OUT, WR_OUT, WI_OUT, NFP, NAP, NUP, F, Z, IWARN, INFO] = slicot_sb01bd(DICO, ALPHA, A_IN, B_IN, WR_IN, WI_IN, TOL)
| Parameter | Description |
|---|---|
| DICO | Specifies the type of the original system.'C': continuous-time system;'D': discrete-time system. |
| ALPHA | Specifies the maximum admissible value. |
| A_IN | the leading N-by-N part of this array must contain the state dynamics matrix A. |
| B_IN | The leading N-by-M part of this array must contain the input/state matrix. |
| WR_IN | contains the real parts of the desired eigenvalues of the closed-loop system state-matrix A+B*F. |
| WI_IN | contains the imaginary parts of the desired eigenvalues of the closed-loop system state-matrix A+B*F. |
| TOL | The absolute tolerance level below which the elements of A or B are considered zero (used for controllability tests). |
| Parameter | Description |
|---|---|
| A_OUT | the leading N-by-N part of this array contains the matrix Z'*(A+B*F)*Z in a real Schur form. |
| WR_OUT | if INFO = 0, the leading NAP elements of these arrays contain the real parts of the assigned eigenvalues. The trailing NP-NAP elements contain the unassigned eigenvalues. |
| WI_OUT | if INFO = 0, the leading NAP elements of these arrays contain the imaginary parts of the assigned eigenvalues. The trailing NP-NAP elements contain the unassigned eigenvalues. |
| NFP | The number of eigenvalues of A having real parts less than ALPHA, if DICO = 'C', or moduli less than ALPHA, if DICO = 'D'. These eigenvalues are not modified by the eigenvalue assignment algorithm. |
| NAP | The number of assigned eigenvalues. If INFO = 0 on exit, then NAP = N-NFP-NUP. |
| NUP | The number of uncontrollable eigenvalues detected by the eigenvalue assignment algorithm. |
| F | The leading M-by-N part of this array contains the state feedback F, which assigns NAP closed-loop eigenvalues and keeps unaltered N-NAP open-loop eigenvalues. |
| Z | The leading N-by-N part of this array contains the orthogonal matrix Z which reduces the closed-loop system state matrix A + B*F to upper real Schur form. |
| IWARN | = 0: no warning; = K: K violations of the numerical stability condition. |
| INFO | = 0: successful exit; |
To determine the state feedback matrix F for a given system (A,B) such that the closed-loop state matrix A+B*F has specified eigenvalues.
N = 4;
M = 2;
NP = 2;
ALPHA = -.4;
TOL = 1.E-8;
DICO = 'C';
A_IN = [ -6.8000 0.0000 -207.0000 0.0000;
1.0000 0.0000 0.0000 0.0000;
43.2000 0.0000 0.0000 -4.2000;
0.0000 0.0000 1.0000 0.0000];
B_IN = [ 5.6400 0.0000;
0.0000 0.0000;
0.0000 1.1800;
0.0000 0.0000];
WR_IN = [-0.5000; -0.5000];
WI_IN = [ 0.1500; -0.1500];
[A_OUT, WR_OUT, WI_OUT, NFP, NAP, NUP, F, Z, IWARN, INFO] = slicot_sb01bd(DICO, ALPHA, A_IN, B_IN, WR_IN, WI_IN, TOL)| Version | Description |
|---|---|
| 1.0.0 | initial version |