Robust Stabilization of Discrete-Time Systems with Time-Varying Delay : An LMI Approach
Joint Authors
Miranda, Márcio F.
Leite, Valter J. S.
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-03-31
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Sufficient linear matrix inequality (LMI) conditions to verify the robust stability and to design robust state feedback gains for the class of linear discrete-time systems with time-varying delay and polytopic uncertainties are presented.
The conditions are obtained through parameter-dependent Lyapunov-Krasovskii functionals and use some extra variables, which yield less conservative LMI conditions.
Both problems, robust stability analysis and robust synthesis, are formulated as convex problems where all system matrices can be affected by uncertainty.
Some numerical examples are presented to illustrate the advantages of the proposed LMI conditions.
American Psychological Association (APA)
Leite, Valter J. S.& Miranda, Márcio F.. 2008. Robust Stabilization of Discrete-Time Systems with Time-Varying Delay : An LMI Approach. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-15.
https://search.emarefa.net/detail/BIM-505399
Modern Language Association (MLA)
Leite, Valter J. S.& Miranda, Márcio F.. Robust Stabilization of Discrete-Time Systems with Time-Varying Delay : An LMI Approach. Mathematical Problems in Engineering No. 2008 (2008), pp.1-15.
https://search.emarefa.net/detail/BIM-505399
American Medical Association (AMA)
Leite, Valter J. S.& Miranda, Márcio F.. Robust Stabilization of Discrete-Time Systems with Time-Varying Delay : An LMI Approach. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-15.
https://search.emarefa.net/detail/BIM-505399
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505399