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Technical Briefs

Delay Dependent Robust Stabilization for Systems With Uncertain Time Varying Delays

[+] Author and Article Information
El Houssaine Tissir

Department of Physics, Faculty of Science, LESSI, B.P. 1796, Fès-Atlas 30000, Moroccoelh_tissir@yahoo.fr

J. Dyn. Sys., Meas., Control 132(5), 054504 (Aug 16, 2010) (7 pages) doi:10.1115/1.4002066 History: Received May 27, 2007; Revised April 24, 2010; Published August 16, 2010; Online August 16, 2010

Sufficient and improved stability robustness conditions that depend both on the size and time derivative of time varying delays are presented. The approach is applied to investigate the problem of finding memoryless state feedback control that simultaneously stabilizes the uncertain system and guarantees an upper bound for some performance index. The perturbations are unknown but norm bounded. The results are derived via Lyapunov– Krasovskii functional and are expressed in terms of linear matrix inequalities. Numerical computations are performed to illustrate the feasibility and the improvements of the results with respect to previous works.

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Copyright © 2010 by American Society of Mechanical Engineers
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Stability region of system 26

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