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Robust Adaptive Sliding Mode Control for Nonlinear Uncertain Neutral Markovian Jump Systems

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Abstract

This paper investigates the robust adaptive sliding mode control problem for a class of nonlinear uncertain neutral Markovian jump systems. In this study, the system state is unmeasurable and the upper norm bounds of the nonlinear functions are unavailable. An observer-based adaptive sliding mode controller is synthesized to render the resulting error system stochastically stable with a prescribed disturbance attenuation level. Finally, a numerical example is exploited to demonstrate the effectiveness of the control scheme.

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Acknowledgments

This work was partially supported by the National Natural Science Foundation of China (61473096, 61573070), the Program for New Century Excellent Talents in University (NCET-13-0170, NCET-13-0696), the Program for Liaoning Innovative Research Team in University (LT2013023), the Program for Liaoning Excellent Talents in University (LR2013053, LJQ20141126) and the Special Chinese National Postdoctoral Science Foundation (2015T80262). The authors wish to gratefully acknowledge the help of Dr. Madeleine Strong Cincotta in the final language editing of this paper.

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Authors and Affiliations

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

    Deyin Yao & Hongyi Li

  2. School of Astronautics, Harbin Institute of Technology, Harbin, 150001, China

    Ming Liu

  3. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, 150001, Heilongjiang, China

    Haoyi Ma

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  1. Deyin Yao
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  2. Ming Liu
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Correspondence to Hongyi Li.

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Yao, D., Liu, M., Li, H. et al. Robust Adaptive Sliding Mode Control for Nonlinear Uncertain Neutral Markovian Jump Systems. Circuits Syst Signal Process 35, 2741–2761 (2016). https://doi.org/10.1007/s00034-015-0171-9

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  • DOI: https://doi.org/10.1007/s00034-015-0171-9

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