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Research Papers

# Output-Feedback Stabilization for a Special Class of Stochastic Nonlinear Time-Delay System With More General Growth Conditions

[+] Author and Article Information
Long-Chuan Guo

Department of Automation,
College of Geophysics and
Information Engineering,
China University of Petroleum,
Beijing Campus (CUP),
Beijing 102249, China
e-mail: glc1988@126.com

Jian-Wei Liu

Department of Automation,
College of Geophysics and
Information Engineering,
China University of Petroleum,
Beijing Campus (CUP),
Beijing 102249, China
e-mail: liujw@cup.edu.cn

Xin Zuo

Department of Automation,
College of Geophysics and
Information Engineering,
China University of Petroleum,
Beijing Campus (CUP),
Beijing 102249, China
e-mail: zuox@cup.edu.cn

Hua-Qing Liang

Department of Automation,
College of Geophysics and
Information Engineering,
China University of Petroleum,
Beijing Campus (CUP),
Beijing 102249, China
e-mail: hqliang@cup.edu.cn

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received January 22, 2013; final manuscript received April 19, 2014; published online August 8, 2014. Assoc. Editor: John B. Ferris.

J. Dyn. Sys., Meas., Control 136(6), 061004 (Aug 08, 2014) (8 pages) Paper No: DS-13-1036; doi: 10.1115/1.4027500 History: Received January 22, 2013; Revised April 19, 2014

## Abstract

This paper focuses on a special class of stochastic nonlinear time-delay system with more weak conditions in which the drift and diffusion vectors depend on all the states, including the unmeasurable states for the first time. By introducing a high-gain observer, finding the maximum value interval of high-gain for the desired performance and choosing an appropriate Lyapunov-Krasoviskii function, an output-feedback controller is designed to ensure the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability and the output can be almost regulated to the origin surely. A practice example of mechanical movement system is provided to demonstrate the efficiency of the output-feedback controller.

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## References

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## Figures

Fig. 1

Mechanical movement system

Fig. 2

The responses of the closed-loop systems (32)(35)

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