Adaptive State-Feedback Stabilization for High-OrderStochastic Nonlinear Systems Driven by Noise of Unknown Covariance

ZHAO Cong-Ran; XIE Xue-Jun

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Adaptive State-Feedback Stabilization for High-OrderStochastic Nonlinear Systems Driven by Noise of Unknown Covariance

ZHAO Cong-Ran,XIE Xue-Jun

Institute of Automation, Qufu Normal University, ShanDong Qufu 273165

*Correspondence author

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Funding: the ShandongProvincial Natural Science Foundation of China （No.ZR2012FM018）, Research supported by the National Natural Science Foundationof China （No.61273125）, the Specialized Research Fund for the DoctoralProgram of Higher Education （No.20103705110002）

Opened online:21 December 2012

Accepted by: none

Citation: ZHAO Cong-Ran,XIE Xue-Jun.Adaptive State-Feedback Stabilization for High-OrderStochastic Nonlinear Systems Driven by Noise of Unknown Covariance [OL]. [21 December 2012] http://en.paper.edu.cn/en_releasepaper/content/4502275

This paper further considers more general high-orderstochastic nonlinear system driven by noise of unknown covarianceand its adaptive state-feedback stabilization problem. A smoothstate-feedback controller is designed to guarantee that the originof the closed-loop system is globally stable in probability.

Keywords:High-order stochastic nonlinear system; noise of unknowncovariance; adaptive state-feedback stabilization.

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