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Volume 11 Issue 6
Jun.  2024

IEEE/CAA Journal of Automatica Sinica

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Z. Wu, Y. Zhao, F. Li, T. Yang, Y. Shi, and  W. Gui,  “Asynchronous learning-based output feedback sliding mode control for semi-Markov jump systems: A descriptor approach,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 6, pp. 1358–1369, Jun. 2024. doi: 10.1109/JAS.2024.124416
Citation: Z. Wu, Y. Zhao, F. Li, T. Yang, Y. Shi, and  W. Gui,  “Asynchronous learning-based output feedback sliding mode control for semi-Markov jump systems: A descriptor approach,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 6, pp. 1358–1369, Jun. 2024. doi: 10.1109/JAS.2024.124416

Asynchronous Learning-Based Output Feedback Sliding Mode Control for Semi-Markov Jump Systems: A Descriptor Approach

doi: 10.1109/JAS.2024.124416
Funds:  This work was supported in part by the National Science Fund for Excellent Young Scholars of China (62222317), the National Science Foundation of China (62303492), the Major Science and Technology Projects in Hunan Province (2021GK1030), the Science and Technology Innovation Program of Hunan Province (2022WZ1001), the Key Research and Development Program of Hunan Province (2023GK2023), and the Fundamental Research Funds for the Central Universities of Central South University (2024ZZTS0116)
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  • This paper presents an asynchronous output-feedback control strategy of semi-Markovian systems via sliding mode-based learning technique. Compared with most literature results that require exact prior knowledge of system state and mode information, an asynchronous output-feedback sliding surface is adopted in the case of incompletely available state and non-synchronization phenomenon. The holonomic dynamics of the sliding mode are characterized by a descriptor system in which the switching surface is regarded as the fast subsystem and the system dynamics are viewed as the slow subsystem. Based upon the co-occurrence of two subsystems, the sufficient stochastic admissibility criterion of the holonomic dynamics is derived by utilizing the characteristics of cumulative distribution functions. Furthermore, a recursive learning controller is formulated to guarantee the reachability of the sliding manifold and realize the chattering reduction of the asynchronous switching and sliding motion. Finally, the proposed theoretical method is substantiated through two numerical simulations with the practical continuous stirred tank reactor and F-404 aircraft engine model, respectively.

     

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    Highlights

    • Arbitrary distribution of sojourn time and asynchronous strategy are applied to controller design
    • The chattering of traditional sliding mode control is alleviated by a novel iterative learning term
    • Sliding surface synthesis under incompletely available state information is presented

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