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Global Asymptotic Output Feedback Stabilization for a Class of Stochastic High-Order Planar Systems

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Abstract

This paper focuses on the global asymptotic stabilization problem for a class of single-input single-output stochastic high-order planar systems via output feedback. By adopting the adding a power integrator technique and designing an implementable observer, an output feedback controller is constructed to guarantee that the closed-loop system is globally asymptotically stable in probability and the output can be regulated to the origin almost surely. The numerical example is given to demonstrate the effectiveness of the proposed design scheme.

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Acknowledgments

The authors would like to express sincere gratitude to the editor and reviewers for their helpful suggestions in improving the quality of this paper. This work was partially supported by the National Natural Science Foundation of China under Grant 61403041, the China Postdoctoral Science Foundation under Grants 2015M580435 and 2016T90462, the Natural Science Foundation of Liaoning Province under Grant 201602007 and the Program for Liaoning Excellent Talents in University under Grant LJQ2015001.

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Authors and Affiliations

  1. College of Engineering, Bohai University, Jinzhou, 121013, Liaoning Province, China

    Liang Liu

  2. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, Jiangsu Province, China

    Liang Liu

  3. College of Mathematics and Physics, Bohai University, Jinzhou, 121013, Liaoning Province, China

    Yifan Zhang

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  1. Liang Liu
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Correspondence to Liang Liu.

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Liu, L., Zhang, Y. Global Asymptotic Output Feedback Stabilization for a Class of Stochastic High-Order Planar Systems. Circuits Syst Signal Process 36, 2959–2970 (2017). https://doi.org/10.1007/s00034-016-0430-4

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  • DOI: https://doi.org/10.1007/s00034-016-0430-4

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