NDLI: Dilated LMI conditions for the robust analysis of uncertain parameter-dependent descriptor systems

Content Provider	IEEE Xplore Digital Library
Author	Bara, G.I.
Copyright Year	2010
Description	Author affiliation: LSIIT, Univ. of Strasbourg, Illkirch, France (Bara, G.I.)
Abstract	This paper addresses the robust $admissibility/ℌ_{2}$ performance analysis for continuous-time uncertain parameter-dependent descriptor systems. In order to achieve less conservative results, the proposed approach uses parameter-dependent Lyapunov functions and slack variables. Our main contribution consists in proposing new necessary and sufficient conditions for the admissibility and $ℌ_{2}$ performance analysis of time-invariant singular systems. These conditions are formulated as a strict linear matrix inequality (LMI) solvability problem and represent a generalization to singular systems of some dilated LMI analysis results developed in the literature for state-space systems. Also, we have extended our results to the analysis of descriptor systems with time-varying parametric uncertainties. A numerical example shows the applicability of our approach.
Starting Page	5451
Ending Page	5457
File Size	348395
Page Count	7
File Format	PDF
ISBN	9781424474264
ISSN	07431619
e-ISBN	9781424474271
DOI	10.1109/ACC.2010.5530796
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-06-30
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Robustness Performance analysis Hydrogen Robust control Robust stability Uncertainty Page description languages Linear matrix inequalities Stability analysis Control systems dilated Linear Matrix Inequalities (LMIs) Linear continuous-time descriptor systems slack variables
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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