Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published December 1991 | Published
Book Section - Chapter Open

Model reduction of LFT systems

Abstract

The notion of balanced realizations and balanced truncation model reduction, including guaranteed error bounds, is extended to general Q-stable linear fractional transformations (LFTs). Since both multidimensional and uncertain systems are naturally represented using LFTs, this can be interpreted either as doing state order reduction for multidimensional systems or as uncertainty simplification in the case of uncertain systems. The role of Lyapunov equations in the 1D theory is replaced by linear matrix inequalities (LMIs). All proofs are given in detail as they are very short and greatly simplify even the standard 1D case.

Additional Information

© 1991 IEEE.

Attached Files

Published - 00261574.pdf

Files

00261574.pdf
Files (333.3 kB)
Name Size Download all
md5:d39ce9274d48e9df21d2e4ff29cb532b
333.3 kB Preview Download

Additional details

Created:
August 20, 2023
Modified:
October 20, 2023