Regular Papers

International Journal of Control, Automation and Systems 2014; 12(2): 274-282

Published online May 11, 2017

https://doi.org/10.1007/s12555-012-0539-6

© The International Journal of Control, Automation, and Systems

Output-Feedback Control of a Class of Stochastic Nonlinear Systems with Power Growth Conditions

Long-Chuan Guo, Xin Zuo, Jian-Wei Liu*, and Hua-Qing Liang

China University of Petroleum

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 input. 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 globally asymptotically stable in probability. The efficiency of the output-feedback controller is demonstrated by a simulation example.

Keywords Backstepping, output-feedback stabilization, power growth conditions, stochastic nonlinear systems.

Article

Regular Papers

International Journal of Control, Automation and Systems 2014; 12(2): 274-282

Published online April 1, 2014 https://doi.org/10.1007/s12555-012-0539-6

Copyright © The International Journal of Control, Automation, and Systems.

Output-Feedback Control of a Class of Stochastic Nonlinear Systems with Power Growth Conditions

Long-Chuan Guo, Xin Zuo, Jian-Wei Liu*, and Hua-Qing Liang

China University of Petroleum

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 input. 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 globally asymptotically stable in probability. The efficiency of the output-feedback controller is demonstrated by a simulation example.

Keywords: Backstepping, output-feedback stabilization, power growth conditions, stochastic nonlinear systems.

IJCAS
March 2025

Vol. 23, No. 3, pp. 683~972

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