H** infinity -CONTROLLER DEGREE BOUNDS BY INTERPOLATION THEORY.
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Limebeer, D. J.N.
Anderson, B. D.O.
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An upper bound is derived for the McMillan degree of all H** infinity -optimal controllers using vector interpolation theory. The advantage of this method is that interpolation theory leads directly to a degree bound on all optimal closed loops. With this in hand, it is relatively easy to obtain a bound on the controller degree. A novel result on the degree of all optimal solutions to the matrix Nevanlinna-Pick problem.
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Proceedings of the IEEE Conference on Decision and Control
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