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Journal of Control Science and Engineering
Volume 2008 (2008), Article ID 523749, 11 pages
http://dx.doi.org/10.1155/2008/523749
Research Article

Stability of Discrete Systems Controlled in the Presence of Intermittent Sensor Faults

1Laboratório de Instrumentação e Medida, Escola Superior de Tecnologia de Setúbal, Instituto Politécnico de Setúbal, Campus do IPS, Estefanilha, Setúbal 2910-761, Portugal
2Instituto de Engenharia de Sistemas e Computadores-Investigação e Desenvolvimento em Lisboa, Rua Alves Redol 9, Lisboa 1000-029, Portugal
3Instituto Superior Técnico, Universidade Técnica de Lisboa, Avenida Rovisco Pais, Lisboa 1049-001, Portugal

Received 10 April 2007; Accepted 7 October 2007

Academic Editor: Jakob Stoustrup

Copyright © 2008 Rui Vilela Dionísio and João M. Lemos. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper presents sufficient conditions for stability of unstable discrete time invariant models, stabilized by state feedback, when interrupted observations due to intermittent sensor faults occur. It is shown that the closed-loop system with feedback through a reconstructed signal, when, at least, one of the sensors is unavailable, remains stable, provided that the intervals of unavailability satisfy a certain time bound, even in the presence of state vanishing perturbations. The result is first proved for linear systems and then extended to a class of Hammerstein systems.