Title :
A state-space formulation for optimal Hankel-norm approximations
Author :
Kung, Sunyuan ; Lin, David W.
Author_Institution :
University of Southern California, Los Angeles, CA, USA
fDate :
8/1/1981 12:00:00 AM
Abstract :
The optimal Hankel-norm approximation problem studied in [1] is reformulated in a state-space setting. The crucial extension theorem is reestablished in this framework. The minimal degree optimal approximation is then derived in terms of state-space parameters
Keywords :
Approximation methods; Hankel matrices; Multivariable systems; Reduced-order systems, linear; Linear matrix inequalities; MIMO; Reduced order systems; Riccati equations; Transfer functions; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1981.1102747