Stabilization of Neutral Systems with Saturating Actuators | Zendy

Fatima El Haoussi | Zendy; El Houssaine Tissir | Zendy; Abdelaziz Hmamed | Zendy; Fernando Tadeo | Zendy

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Stabilization of Neutral Systems with Saturating Actuators

Author(s) -

Fatima El Haoussi,

El Houssaine Tissir,

Abdelaziz Hmamed,

Fernando Tadeo

Publication year - 2012

Publication title -

journal of control science and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.208

H-Index - 18

eISSN - 1687-5257

pISSN - 1687-5249

DOI - 10.1155/2012/823290

Subject(s) - control theory (sociology) , actuator , domain (mathematical analysis) , state (computer science) , matrix (chemical analysis) , mathematics , lyapunov function , computer science , control (management) , nonlinear system , algorithm , mathematical analysis , physics , artificial intelligence , chemistry , chromatography , quantum mechanics

A method is proposed for stabilization, using static state feedback, of systems subject to time-varying delays in both the states and their derivatives (i.e., neutralsystems), in the presence of saturating actuators. Delay-dependent conditions are givento determine stabilizing state-feedback controllers with large domain of attraction, expressed as linear matrix inequalities, readily implementable using available numerical tools and with tuning parameters that make possible to select the most adequate solution. These conditions are derived by using a Lyapunov-Krasovskii functional on the vertices of the polytopic description of the actuator saturations. Numerical examples demonstrate the effectiveness of the proposed technique

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