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. Technical Report. California Institute of Technology, Pasadena, CA. [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.

EPrint Type:	Monograph (Technical Report)
Subjects:	All Records
ID Code:	105
Deposited By:	Caltech Library System
Deposited On:	13 September 2006
Unique Identifier:	CaltechCDSTR:1994.017
Official Persistent URL:	http://resolver.caltech.edu/CaltechCDSTR:1994.017
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