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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 (Unpublished)

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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)
Doyle, John0000-0002-1828-2486
Group:Control and Dynamical Systems Technical Reports
Record Number:CaltechCDSTR:1994.017
Persistent URL:
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
Deposited By: Imported from CaltechCDSTR
Deposited On:13 Sep 2006
Last Modified:26 Nov 2019 11:15

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