NDLI: Stability of uncertain piecewise affine systems with time-delay

Content Provider	IEEE Xplore Digital Library
Author	Moezzi, K. Rodrigues, L. Aghdam, A.G.
Copyright Year	2009
Description	Author affiliation: Department of Mechanical and Industrial Engineering, Concordia University, Montréal, QC, H3G 1M8, Canada (Rodrigues, L.) \|\| Department of Electrical and Computer Engineering, Concordia University, Montréal, QC, H3G 1M8, Canada (Moezzi, K.; Aghdam, A.G.)
Abstract	This paper addresses the problem of robust stability of piecewise affine (PWA) uncertain systems with unknown time-varying delay in the state. It is assumed that the uncertainty is norm-bounded and that upper bounds on the state delay and its rate of change are available. A set of linear matrix inequalities (LMI) is derived providing sufficient conditions for the stability of the system. These conditions depend on the upper bound of the delay. The main contributions of the paper are as follows. First, new delay-dependent LMI conditions are derived for the stability of PWA time-delay systems. Second, the stability conditions are extended to the case of uncertain PWA time-delay systems. Numerical examples are presented to show the effectiveness of the approach.
Starting Page	2373
Ending Page	2378
File Size	485046
Page Count	6
File Format	PDF
ISBN	9781424445233
ISSN	07431619
DOI	10.1109/ACC.2009.5160711
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Delay Robust stability Uncertain systems Stability analysis Control systems Uncertainty Upper bound Lyapunov method Sufficient conditions Time varying systems
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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