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H infty optimization of transfer function matrix - which method?

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Zia Pandorra
Zia Pandorra 2014-3-9
编辑： Matt J 2014-3-9
I have a two-dimensional (2 x 2) transfer function matrix like this:
The aim is to solve optimization problem:
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.

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回答（2 个）

Dina Irofti
Dina Irofti 2014-3-9
Try the hinfsyn function.
Matt J
Matt J 2014-3-9
编辑：Matt J 2014-3-9
You might also be able to do it with FMINSEARCH
x = fminsearch(@(x) norm([1/(x(1)*s+1), 1/(s+0.5); 3/(s+3), 1/(x(2)*s+2),inf),[1 1])
or with FMINSEARCHBND if you really care about those upper and lower bounds on x,y.

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