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Multirate parallel distributed compensation of a cluster in wireless sensor and actor networks

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  • Chun-xi Yang
  • Ling-yun Huang
  • Hao Zhang
  • Wang Hua

Abstract

The stabilisation problem for one of the clusters with bounded multiple random time delays and packet dropouts in wireless sensor and actor networks is investigated in this paper. A new multirate switching model is constructed to describe the feature of this single input multiple output linear system. According to the difficulty of controller design under multi-constraints in multirate switching model, this model can be converted to a Takagi–Sugeno fuzzy model. By designing a multirate parallel distributed compensation, a sufficient condition is established to ensure this closed-loop fuzzy control system to be globally exponentially stable. The solution of the multirate parallel distributed compensation gains can be obtained by solving an auxiliary convex optimisation problem. Finally, two numerical examples are given to show, compared with solving switching controller, multirate parallel distributed compensation can be obtained easily. Furthermore, it has stronger robust stability than arbitrary switching controller and single-rate parallel distributed compensation under the same conditions.

Suggested Citation

  • Chun-xi Yang & Ling-yun Huang & Hao Zhang & Wang Hua, 2016. "Multirate parallel distributed compensation of a cluster in wireless sensor and actor networks," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(1), pages 1-13, January.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:1:p:1-13
    DOI: 10.1080/00207721.2015.1018374
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    Cited by:

    1. Li, Tao & Liu, Xiongding & Wu, Jie & Wan, Chen & Guan, Zhi-Hong & Wang, Yuanmei, 2016. "An epidemic spreading model on adaptive scale-free networks with feedback mechanism," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 649-656.

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