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Model Reduction of Multi-Dimensional and Uncertain Systems

Beck, Carolyn and Doyle, John and Glover, Keith (1994) Model Reduction of Multi-Dimensional and Uncertain Systems. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:1994.017

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Abstract

We present model reduction methods with guaranteed error bounds for systems represented by a Linear Fractional Transformation (LFT) on a repeated scalar uncertainty structure. These reduction methods can be interpreted either as doing state order reduction for multi-dimensionalsystems, or as uncertainty simplification in the case of uncertain systems, and are based on finding solutions to a pair of Linear Matrix Inequalities (LMIs). A related necessary and sufficient condition for the exact reducibility of stable uncertain systems is also presented.


Item Type:Report or Paper (Technical Report)
Group:Control and Dynamical Systems Technical Reports
Record Number:CaltechCDSTR:1994.017
Persistent URL:http://resolver.caltech.edu/CaltechCDSTR:1994.017
Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:28080
Collection:CaltechCDSTR
Deposited By: Imported from CaltechCDSTR
Deposited On:13 Sep 2006
Last Modified:24 Sep 2013 20:25

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