Title :
Parametric interpolation H∞-control and model reduction
Author :
Limebeer, David ; Green, Michael
Author_Institution :
Dept. of Electr. Eng., Imperial Coll., London, UK
Abstract :
The authors demonstrate that a class of H∞ -optimal control problems and the Hankel norm model-reduction problem can be a recast as parametric vector interpolation problem, which they solve using the classical Schur construction and results on the inertia of matrices. The connection between parametric vector interpolation and the state-space formulas of K. Glover (1986) is also established
Keywords :
interpolation; matrix algebra; optimal control; state-space methods; Hankel; Schur construction; matrix algebra; model reduction; optimal control; parametric vector interpolation; state-space; Closed loop systems; H infinity control; Interpolation; Matrices; Poles and zeros; Reduced order systems; Transfer functions;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194458