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RESEARCH PRODUCT

Output Feedback Control of Discrete Impulsive Switched Systems with State Delays and Missing Measurements

Xia LiZhengrong XiangHamid Reza Karimi

subject

SequenceArticle Subjectlcsh:MathematicsGeneral MathematicsGeneral EngineeringBinary numberConditional probability distributionlcsh:QA1-939Expression (mathematics)Dwell timeExponential stabilitylcsh:TA1-2040Control theoryState (computer science)lcsh:Engineering (General). Civil engineering (General)Mathematics

description

Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/283426 Open Access This paper is concerned with the problem of dynamic output feedback (DOF) control for a class of uncertain discrete impulsive switched systems with state delays and missing measurements. The missing measurements are modeled as a binary switch sequence specified by a conditional probability distribution. The problem addressed is to design an output feedback controller such that for all admissible uncertainties, the closed-loop system is exponentially stable in mean square sense. By using the average dwell time approach and the piecewise Lyapunov function technique, some sufficient conditions for the existence of a desired DOF controller are derived, then an explicit expression of the desired controller is given. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

10.1155/2013/283426http://dx.doi.org/10.1155/2013/283426