We study here a particular application of the theory of Hankel operators to robust control. The techniques of superoptimal Nehari extension developed by Young are employed to derive some properties of a particular controller of a rational function G, called the superoptimally robust stabilizing controller. Using this controller, we generalize to the multivariable case some results due to Fuhrmann and Ober. We also give a characterization of all plants G which are stabilized by the same superoptimally robust stabilizing controller.
ON THE SCHMIDT PAIRS OF MULTIVARIABLE HANKEL-OPERATORS AND ROBUST-CONTROL
A Gombani
1995
Abstract
We study here a particular application of the theory of Hankel operators to robust control. The techniques of superoptimal Nehari extension developed by Young are employed to derive some properties of a particular controller of a rational function G, called the superoptimally robust stabilizing controller. Using this controller, we generalize to the multivariable case some results due to Fuhrmann and Ober. We also give a characterization of all plants G which are stabilized by the same superoptimally robust stabilizing controller.File in questo prodotto:
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