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2013 Output-Feedback and Inverse Optimal Control of a Class of Stochastic Nonlinear Systems with More General Growth Conditions
Liu Jianwei, Guo Longchuan, Zuo Xin, Liang Huaqing
J. Appl. Math. 2013(SI16): 1-10 (2013). DOI: 10.1155/2013/251340

Abstract

This paper investigates the problem of output-feedback stabilization for a class of stochastic nonlinear systems in which the nonlinear terms depend on unmeasurable states besides measurable output. We extend linear growth conditions to power growth conditions and reduce the control effort. By using backstepping technique, choosing a high-gain parameter, an output-feedback controller is designed to ensure the closed-loop system to be globally asymptotically stable in probability, and the inverse optimal stabilization in probability is achieved. The efficiency of the output-feedback controller is demonstrated by a simulation example.

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Liu Jianwei. Guo Longchuan. Zuo Xin. Liang Huaqing. "Output-Feedback and Inverse Optimal Control of a Class of Stochastic Nonlinear Systems with More General Growth Conditions." J. Appl. Math. 2013 (SI16) 1 - 10, 2013. https://doi.org/10.1155/2013/251340

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950583
MathSciNet: MR3090616
Digital Object Identifier: 10.1155/2013/251340

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI16 • 2013
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