Title :
A Tighter Relative-Error Bound for Balanced Stochastic Truncation
Author :
Wang, Weizheng ; Safonov, Michael G.
Author_Institution :
Department of Electrical Engineering - Systems, University of Southern California, Los Angeles, CA 90089-0781, U.S.A.
Abstract :
The properties of balanced stochastic truncation (BST) model reduction for stable multi-input multi-output systems are reviewed and analysed. A relative-error bound for BST is obtained as 2¿ni=p+1 ¿i/(1-¿i). This error bound is tighter than the relative-error bound previously derived by Green.
Keywords :
Approximation methods; Binary search trees; Control system synthesis; Equations; Frequency conversion; Reduced order systems; Robust control; Stochastic processes; Transfer functions;
Conference_Titel :
American Control Conference, 1990
