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Analysis of Implicit Uncertain Systems. Part II: Constant Matrix Problems and Application to Robust H2 Analysis

Paganini, Fernando (1994) Analysis of Implicit Uncertain Systems. Part II: Constant Matrix Problems and Application to Robust H2 Analysis. California Institute of Technology , Pasadena, CA. (Unpublished) http://resolver.caltech.edu/CaltechCDSTR:1994.018-2

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Abstract

This paper introduces an implicit framework for the analysis of uncertain systems, of which the general properties were described in Part I. In Part II, the theory is specialized to problems which admit a finite dimensional formulation. A constant matrix version of implicit analysis is presented, leading to a generalization of the structured singular value μ as the stability measure; upper bounds are developed and analyzed in detail. An application of this framework results in a practical method for robust H2 analysis: computing robust performance in the presence of norm-bounded perturbations and white-noise disturbances.


Item Type:Report or Paper (Technical Report)
Additional Information:The author would like to thank John Doyle, Raff D'Andrea and Matt Newlin for numerous helpful discussions. This work was supported by AFOSR.
Group:Control and Dynamical Systems Technical Reports
Record Number:CaltechCDSTR:1994.018-2
Persistent URL:http://resolver.caltech.edu/CaltechCDSTR:1994.018-2
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:28082
Collection:CaltechCDSTR
Deposited By: Imported from CaltechCDSTR
Deposited On:13 Sep 2006
Last Modified:26 Dec 2012 14:30

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