H infty optimization of transfer function matrix - which method?

87 views Asked by Zakhar At 09 March 2014 at 04:18

I have a two-dimensional (2 x 2) transfer function matrix like this:

enter image description here

The aim is to solve optimization problem:

$\min_{x, y} ||G||_\infty$

I used the code below, but there is no convergence:

s = tf('s');
x = fmincon(@(x) norm([1/(x(1)*s+1), 1/(s+0.5); 3/(s+3), 1/(x(2)*s+2),inf),[1 1],[],[],[],[],[0 0],[2 2])

How can I treat this optimization problem? Which one of optimization methods is useful for this problem?

Any ideas would be appreciated.

TechQA.