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Asynchronous Control for Discrete Semi-Markovian Switching Models Under Quantization

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Abstract

This study investigates the asynchronous stabilization for discrete semi-Markovian switching systems under input quantization. The jumps between different modes are based on the framework of incomplete semi-Markov kernel information, which is more general than the traditional Markovian process. Owing to an asynchronous phenomenon between the system mode and the control mode, a hidden semi-Markovian model is adopted to describe this mismatch situation. A logarithmic quantizer is used to characterize the quantized input signal before the data transmission. By using the Lyapunov function, a new stability condition is proposed for the underlying model. Finally, a space robot manipulator model is studied to verify the effectiveness of the designed controller.

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Data Availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work was supported by Natural Science Foundation of Shandong Province of China (ZR2020MF092, ZR2021MF083), National Natural Science Foundation of China (62073188), and Postdoctoral Science Foundation of China (2022T150374).

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Authors and Affiliations

  1. School of Engineering, Qufu Normal University, Rizhao, 276826, China

    Lei Li, Shaowei Li & Wenhai Qi

  2. College of Mathematics and Statistics, Guangxi Normal University, Guilin, 541006, China

    Jun Cheng

  3. School of Information Science and Engineering, Chengdu University, Chengdu, 610106, China

    Kaibo Shi

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  1. Lei Li
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Correspondence to Wenhai Qi.

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Li, L., Li, S., Qi, W. et al. Asynchronous Control for Discrete Semi-Markovian Switching Models Under Quantization. Circuits Syst Signal Process 43, 172–190 (2024). https://doi.org/10.1007/s00034-023-02495-z

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