By Topic

Balancing and model reduction for second-order form linear systems

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
D. G. Meyer ; Dept. of Electr. & Comput. Eng., Colorado Univ., Boulder, CO, USA ; S. Srinivasan

Model reduction of second-order form linear systems is considered where a second-order form reduced model is desired, The focus is on reduction methods that employ or mimic Moore's balance and truncate (1981). First, we examine second-order form model reduction by conversion to first-order form and obtain a complete solution for this problem. Then, new Gramians and input/output (I/O) invariants for second-order systems are motivated and defined. Based on these, direct second-order balancing methods are developed. This leads naturally to direct second-order form analogs for the well-known first-order form balance and truncate model reduction method. Explicit algorithms are given throughout the paper

Published in:

IEEE Transactions on Automatic Control  (Volume:41 ,  Issue: 11 )