Robust Stability Under Mixed Time Varying, Time Invariant and Parametric Uncertainty

Paganini, Fernando (1995) Robust Stability Under Mixed Time Varying, Time Invariant and Parametric Uncertainty. Technical Report. California Institute of Technology, Pasadena, CA. [CaltechCDSTR:1995.024]

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Abstract

Robustness analysis is considered for systems with structured uncertainty involving a combination of linear time-invariant and linear time-varying perturbations, and parametric uncertainty. A necessary and sufficient condition for robust stability in terms of the structured singular value µ is obtained, based on a finite augmentation of the original problem. The augmentation corresponds to considering the system at a fixed number of frequencies. Sufficient conditions based on scaled small-gain are also considered and characterized.

EPrint Type:	Monograph (Technical Report)
Additional Information:	The author wishes to thank Raffaello D'Andrea for a stimulating discussion, and Geir Dullerud for helpful suggestions. This work was supported by AFOSR.
Subjects:	All Records
ID Code:	129
Deposited By:	Caltech Library System
Deposited On:	16 October 2006
Unique Identifier:	CaltechCDSTR:1995.024
Official Persistent URL:	http://resolver.caltech.edu/CaltechCDSTR:1995.024
Usage Policy:	You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.

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