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http://dx.doi.org/10.5370/KIEE.2013.62.5.679

Delay-dependent Robust H∞ Control of Uncertain Linear Systems with Time-varying Delays and Randomly Occurring Disturbances  

Kim, Ki-Hoon (School of Electrical Engineering, Chungbuk National University)
Park, Myeong-Jin (School of Electrical Engineering, Chungbuk National University)
Kwon, Oh-Min (School of Electrical Engineering, Chungbuk National University)
Cha, Eun-Jong (Depart. of Biomedical Engineering, School of Medicine, Chungbuk National University)
Publication Information
The Transactions of The Korean Institute of Electrical Engineers / v.62, no.5, 2013 , pp. 679-687 More about this Journal
Abstract
This paper proposes a new condition about delay-dependent robust $H_{\infty}$ control of uncertain linear systems with time-varying delay and randomly occurring disturbances. The norm bounded uncertainties are subjected to the system matrices. Based on Lyapunov stability theory, a sufficient condition for designing a controller gain such that the closed-loop systems are asymptotically stable with $H_{\infty}$ disturbance level ${\gamma}$ is formulated in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are included to show the effectiveness of the presented method.
Keywords
$H_{\infty}$ control; Time-delays; Randomly occurring disturbances; Lyapunov method; LMIs;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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