Computation of stability robustness bounds for linear discrete-time systems with time-varying parametric uncertainties

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Title:	Computation of stability robustness bounds for linear discrete-time systems with time-varying parametric uncertainties
Authors:	Chou, Yung-shan;Lin, Chun-chen
Contributors:	淡江大學電機工程學系
Keywords:	Structured singular value;µ theory;robust stability;rate-of-variation;parametric uncertainty
Date:	2007-07-01
Issue Date:	2010-03-26 22:06:55 (UTC+8)
Publisher:	IOS Press
Abstract:	Structured singular value (SSV or µ ) theory is known to be an effective tool for assessing robust stability as well as robust performance for linear time-invariant systems subject to structured uncertainty. Most of the results of the theory deal only with timeinvariant uncertainty. Much less attention has been paid toward the effect of rate-of-variation of time-varying uncertainty upon stability. In this paper, based on the well known robust stability test of real µ theory, we present conditions which explicitly characterize the tradeoff between the allowable perturbation size and the associated allowable rate-of-variation of uncertainty upon stability. With these conditions, lower bound estimates for the two quantities can be computed via the data obtained from the robust stability test.
Relation:	Journal of Information and Optimization Sciences 28(4), pp.687-702
DOI:	10.1080/02522667.2007.10699768
Appears in Collections:	[Graduate Institute & Department of Electrical Engineering] Journal Article

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