International Journal of applied mathematics and computer science

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Paper details

Number 1 - March 2018
Volume 28 - 2018

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

Nabil El Fezazi, Fatima El Haoussi, El Houssaine Tissir, Teresa Alvarez, Fernando Tadeo

Abstract
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.

Keywords
robust stabilization, sampled-data, time-delay systems, input saturation, admissible initial conditions, LMI

DOI
10.2478/amcs-2018-0008