6533b82ffe1ef96bd1295e2f

RESEARCH PRODUCT

Observer-Based Stabilization of Stochastic Systems with Limited Communication

Junli WuHamid Reza KarimiPeng Shi

subject

VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413Mathematical optimizationObserver (quantum physics)Article SubjectComputer scienceStability criterionGeneral Mathematicslimited communicationSeparation principleExponential stabilityControl theorydesign proceduredynamic controllerNetwork packetlcsh:MathematicsQuantization (signal processing)VDP::Technology: 500::Mechanical engineering: 570General EngineeringIllustrative examplesObserver (special relativity)lcsh:QA1-939Lyapunov functionalsdesign techniqueNonlinear systemlcsh:TA1-2040data packet dropoutlcsh:Engineering (General). Civil engineering (General)

description

Published version of an article in the journal: Mathematical Problems in Engineering. Also available from Hindawi: http://dx.doi.org/10.1155/2012/781542 Open Access This paper studies the problem of observer-based stabilization of stochastic nonlinear systems with limited communication. A communication channel exists between the output of the plant and the input of the dynamic controller, which is considered network-induced delays, data packet dropouts, and measurement quantization. A new stability criterion is derived for the stochastic nonlinear system by using the Lyapunov functional approach. Based on this, the design procedure of observer-based controller is presented,which ensures asymptotic stability in the meansquare of the closed-loop system. Finally, an illustrative example is given to illustrate the effectiveness of the proposed design techniques.

10.1155/2012/781542http://dx.doi.org/10.1155/2012/781542