slicot_ab04md

Discrete-time / continuous-time systems conversion by a bilinear transformation.

Syntax

• [A_OUT, B_OUT, C_OUT, D_OUT, INFO] = slicot_ab04md(TYPE, ALPHA, BETA, A_IN, B_IN, C_IN, D_IN)

Input argument

• TYPE - a character: 'D' discrete or 'C' continuous time
• ALPHA, BETA - Parameters specifying the bilinear transformation. Recommended values for stable systems: ALPHA = 1, BETA = 1. ALPHA ~= 0, BETA ~= 0
• A_IN - N-by-N part of this array must contain the state matrix A of the original system.
• B_IN - N-by-M part of this array must contain the input matrix B of the original system.
• C_IN - P-by-N part of this array must contain the output matrix C of the original system.
• D_IN - P-by-M part of this array must contain the input/output matrix D for the original system.

Output argument

• A_OUT - N-by-N part of this array contains the state matrix _A of the transformed system.
• B_OUT - N-by-M part of this array contains the input matrix _B of the transformed system.
• C_OUT - the leading P-by-N part of this array contains the output matrix _C of the transformed system.
• D_OUT - P-by-M part of this array contains the input/output matrix _D of the transformed system.
• INFO - Error Indicator: = 0: successful exit; less than 0: if INFO = -i, the i-th argument had an illegal value; = 1: if the matrix (ALPHAI + A) is exactly singular; = 2: if the matrix (BETAI - A) is exactly singular.

Description

To perform a transformation on the parameters (A, B, C, D) of a system, which is equivalent to a bilinear transformation of the corresponding transfer function matrix.

Used function(s)

AB04MD

Bibliography

http://slicot.org/objects/software/shared/doc/AB04MD.html

Example

N = 2;
M = 2;
P = 2;
TYPE= 'C';
ALPHA = 1;
BETA = 1;
A = [   1.0  0.5; 0.5  1.0];
B = [   0.0 -1.0; 1.0  0.0];
C = [  -1.0  0.0; 0.0  1.0];
D = [   1.0  0.0; 0.0 -1.0];
[A_OUT, B_OUT, C_OUT, D_OUT, INFO] = slicot_ab04md(TYPE, ALPHA, BETA, A, B, C, D)

History

Author

SLICOT Documentation