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Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 504356, 15 pages
http://dx.doi.org/10.1155/2012/504356
Research Article

Robust Finite-Time Control for Uncertain Systems Subject to Intermittent Measurements

School of Automation, Northwestern Polytechnical University, Shaanxi Province, Xi’an 710072, China

Received 7 June 2012; Accepted 16 August 2012

Academic Editor: Beatrice Paternoster

Copyright © 2012 Zhenghong Deng. 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 investigates the robust finite-time controller design problem of discrete-time systems with intermittent measurements. It is assumed that the system is subject to the norm-bounded uncertainties and the measurements are intermittent. The Bernoulli process is used to describe the phenomenon of intermittent measurements. By substituting the state-feedback controller into the system, a stochastic closed-loop system is obtained. Based on the analysis of the robust stochastic finite-time stability and the performance, the controller design method is proposed. The controller gain can be calculated by solving a sequence of linear matrix inequalities. Finally, a numerical example is used to show the design procedure and the effectiveness of the proposed design methodology.