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Outlier-resistant bserver-based H∞ PID control under stochastic communication protocol

Author

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  • Fu, Haijing
  • Li, Jiahui
  • Han, Fei
  • Hou, Nan
  • Dong, Hongli

Abstract

This paper addresses the H∞ proportional-integral-derivative control problem based on the outlier-resistant observer for discrete-time systems under the schedule of stochastic communication protocol (SCP). A novel observer with saturation constraint is structured in order to reduce the negative influence of abnormal measurement outputs, where the saturation limit is dynamically adjusted in the light of the observation errors. For the sake of avoiding the phenomenon of data congestion, the SCP is deployed to orchestrate the order of data transmission in the sensor-to-observer channel. In view of the Lyapunov stability theory and the orthogonal decomposition method, sufficient conditions are obtained to make sure that the exponential mean-square stability is met and the H∞ performance index is satisfied. Eventually, a simulation example is provided to confirm the effectiveness and correctness of the presented controller design algorithm.

Suggested Citation

  • Fu, Haijing & Li, Jiahui & Han, Fei & Hou, Nan & Dong, Hongli, 2021. "Outlier-resistant bserver-based H∞ PID control under stochastic communication protocol," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    • Handle: RePEc:eee:apmaco:v:411:y:2021:i:c:s0096300321006184
    DOI: 10.1016/j.amc.2021.126535
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    References listed on IDEAS

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    1. Lee, Tae H. & Park, Ju H. & Jung, Hoyoul, 2018. "Network-based H∞ state estimation for neural networks using imperfect measurement," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 205-214.
    2. Nithya, V. & Sakthivel, R. & Sakthivel, R. & Alzahrani, Faris, 2020. "Dissipative-based non-fragile filtering for fuzzy networked control systems with switching communication channels," Applied Mathematics and Computation, Elsevier, vol. 373(C).
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    Cited by:

    1. Li, Xin & Cheng, Kaijie & Zhu, Liangkuan & Wei, Guoliang, 2023. "Outlier-resistant interval observer design for multirate time-delayed systems under the adaptive event-triggered protocols," Applied Mathematics and Computation, Elsevier, vol. 444(C).

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