Model Matching Problem

Hi,

I am trying to solve the following model matching problem:

Let T and M be given transfer matrices. The dimension of T and M are 4 by 4 and 4 by 1 respectively. Find a stable and proper transfer matrix Q (with dimension 4 by 1) such that the H-infinity norm of TQ-M is minimized.

Note: let (A,B,C,D) be the state space realization of T and D is not full rank; therefore T cannot be factorized as the inner and outer parts.

Anyone has a good idea about solving this problem? Thank you!

Reply to
tshsiao
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Is this homework? If not, what context does it arise in? Can you give more detail?

Jerry

Reply to
Jerry Avins

It's a research problem coming from fault detection and isolation. T is the so-called residual generator. I want to design a filter Q such that the cascade system TQ is close to a desired model M.

Jerry Av>

Reply to
tshsiao

It's a research problem coming from fault detection and isolation. T is the so-called residual generator. I want to design a filter Q such that the cascade system TQ is close to a desired model M.

Jerry Av>

Reply to
tshsiao

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