Stabilization of neutral systems with saturating actuators

Authors:
F. El Haoussi;E. H. Tissir;A. Hmamed;F. Tadeo
Affiliations:
Department of Mathematic and Informatics, Faculty Multidisciplinary, University Mohamed Premier, Nador, Selouane, Morocco;LESSI, Department of Physics, Faculty of Science Dhar El Mehraz, Fes-Atlas, Morocco;LESSI, Department of Physics, Faculty of Science Dhar El Mehraz, Fes-Atlas, Morocco;Departamento Ingenieria de Sistemas y Automatica, Universidad de Valladolid, Valladolid, Spain
Venue:
Journal of Control Science and Engineering
Year:
2012

Citing 6
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The effect of small delays in the feedback loop on the stability of neutral systems

Systems & Control Letters
Stability of Time-Delay Systems

Stability of Time-Delay Systems
Delay and its time-derivative dependent robust stability of uncertain neutral systems with saturating actuators

International Journal of Automation and Computing
Stabilisation of neutral systems with saturating control inputs

International Journal of Systems Science
Technical Communique: Robust H∞ control of linear neutral systems

Automatica (Journal of IFAC)
Technical communique: On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty

Automatica (Journal of IFAC)

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Abstract

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., neutral systems), in the presence of saturating actuators. Delay-dependent conditions are given to 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.