NDLI: Robust Performance Analysis of Linear Time-Invariant Uncertain Systems by Taking Higher-Order Time-Derivatives of the State

Content Provider	IEEE Xplore Digital Library
Author	Ebihara, Y. Hagiwara, T. Peaucelle, D. Arzelier, D.
Copyright Year	2005
Description	Author affiliation: Department of Electrical Engineering, Kyoto University, Kyotodaigaku-Katsura, Nishikyo-ku, Kyoto 615-8510, Japan. (Ebihara, Y.)
Abstract	In this paper, we propose new LMI-based conditions for robust stability/performance analysis of linear time-invariant (LTI) uncertain systems. To get around the conservatism of existing conditions resulting from Lyapunov’s stability theory, we first consider to employ Lyapunov functions that can be associated with higher-order derivatives of the state vectors. This motivates us to introduce a redundant system description so that we can take the behavior of the higher-order derivatives of the state into consideration. Indeed, by considering suitable redundant system descriptions, the existence conditions of those Lyapunov functions can be reduced into constrained inequality conditions, to which we can apply Finsler’s Lemma. Thus we can readily obtain new LMI-based conditions for (robust) stability/performance analysis of LTI systems in a constructive way. It turns out that the proposed LMI conditions can be regarded as a natural extension of those known as extended or dilated LMIs in the literature.
Starting Page	5030
Ending Page	5035
File Size	200141
Page Count	6
File Format	PDF
ISBN	0780395670
DOI	10.1109/CDC.2005.1582959
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-12-15
Publisher Place	Spain
Access Restriction	Subscribed
Rights Holder	IEEE/EUCA
Subject Keyword	Robustness Performance analysis Uncertain systems Lyapunov method Robust stability Stability analysis Uncertainty Vectors Robust control Control theory
Content Type	Text
Resource Type	Article

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