Title :
Model Reduction for Robust Control: A Schur Relative-Error Method
Author :
Safonov, M.G. ; Chiang, R.Y.
Author_Institution :
Dept. of Electrical Engineering - Systems, University of Southern California, Los Angeles, CA 90089-0781
Abstract :
A numerically robust Relative Error Method (REM) for state-space model order reduction is described. Our algorithm is based on Desai´s Balanced Stochastic Truncation (BST) technique for which M. Green has obtained an L¿ relative-error bound. However, unlike previous methods, our Schur method completely circumvents the numerically delicate initial step of obtaining a minimal balanced stochastic realiztion (BSR) of the the power spectrum matrix G(s)GT(-s).
Keywords :
Bandwidth; Control system synthesis; Error correction; Frequency; Power system modeling; Reduced order systems; Robust control; Robust stability; Robustness; Stochastic processes;
Conference_Titel :
American Control Conference, 1988
Conference_Location :
Atlanta, Ga, USA