On the Schmidt pairs of Multivariable Hankel Operators and Robust Control
نویسنده
چکیده
We study here a particular application of the theory of Hankel operators to robust control. The techniques of superoptimal Nehari extension developed by Young [16] are employed to derive some properties of a particular controller of a rational function G, called superoptimally robust stabilizing controller. Using this controller, we generalize to the multivariable case some results which appeared in Fuhrmann and Ober [6]. We also give a characterization of all plants G which are stabilized by the same superoptimally robust stabilizing controller. 1991 Mathematics Subject Classification: 93B36, 93B28
منابع مشابه
On relations between Schmidt pairs arising in robust control
We present here some generalizations and some simpler derivations of results appeared in Fuhrmann [4] and Fuhrmann and Ober [5]. The main result is that the singular values and Schmidt vectors of the Hankel operator with symbol a normalized coprime factorization of a plant can be given an explicit representation in terms of the plant, of its optimally robust controller and of the Schmidt pairs ...
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