Robust stabilization using a sampled-data strategy of uncertain neutral state-delayed systems subject to input limitations

Stabilization of neutral systems with state delay is considered in the presence of uncertainty and input limitations in magnitude. The proposed solution is based on simultaneously characterizing a set of stabilizing controllers and the associated admissible initial conditions through the use of a fr...

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Bibliographic Details
Published in:International journal of applied mathematics and computer science 2018-03, Vol.28 (1), p.111-122
Main Authors: Fezazi, Nabil El, Haoussi, Fatima El, Tissir, El Houssaine, Alvarez, Teresa, Tadeo, Fernando
Format: Article
Language:English
Subjects:
admissible initial conditions
Initial conditions
input saturation
LMI
Mathematical analysis
Matrix methods
Robust stabilization
Robustness (mathematics)
sampled-data
State feedback
time-delay systems
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Summary:Stabilization of neutral systems with state delay is considered in the presence of uncertainty and input limitations in magnitude. The proposed solution is based on simultaneously characterizing a set of stabilizing controllers and the associated admissible initial conditions through the use of a free weighting matrix approach. From this mathematical characterization, state feedback gains that ensure a large set of admissible initial conditions are calculated by solving an optimization problem with LMI constraints. Some examples are presented to compare the results with previous approaches in the literature.
ISSN:2083-8492
1641-876X
2083-8492
DOI:10.2478/amcs-2018-0008