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Adaptive tracking control of uncertain switched stochastic nonlinear systems

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Abstract

In this paper, a tracking control problem is investigated for a class of switched stochastic nonlinear uncertain systems with unknown dead-zone input. By using the common Lyapunov function method and backstepping technique, a common controller and an uniform adaptive mechanism are constructed, and a novel adaptive fuzzy control scheme is developed. It is proved that the proposed control method can guarantee that all the signals in the closed-loop system are bounded in probability and the tracking error is convergent to a neighborhood of the origin under arbitrary switching. Finally, simulation results are provided to show the effectiveness of the proposed control scheme.

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Authors and Affiliations

  1. The Institute of Complexity Science, Qingdao University, Qingdao, 266071, China

    Fang Wang, Bing Chen & Chong Lin

  2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China

    Fang Wang & Ziye Zhang

Authors
  1. Fang Wang
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  2. Bing Chen
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  3. Ziye Zhang
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  4. Chong Lin
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Corresponding author

Correspondence to Bing Chen.

Additional information

This work was supported in part by the National Natural Science Foundation of China under Project 61473160, 61503223 and in part by the Project of Shandong Province Higher Educational Science and Technology Program J15LI09.

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Wang, F., Chen, B., Zhang, Z. et al. Adaptive tracking control of uncertain switched stochastic nonlinear systems. Nonlinear Dyn 84, 2099–2109 (2016). https://doi.org/10.1007/s11071-016-2631-6

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  • DOI: https://doi.org/10.1007/s11071-016-2631-6

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