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Stochastic stabilization of Markovian jump systems closed by a communication network: an auxiliary system approach

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Abstract

This study examines the stabilization of continuous-time Markovian jump systems, whose controller is added in the diffusion section. Unlike the traditionally stochastic controllers, the proposed controller is connected by a communication network. Not only the state but also the switching signal is sampled and transmitted. Because the sampling of switching signals makes analyzing and synthesizing the system more difficult, an auxiliary system approach is presented to handle these problems. Particularly, a novel system with an exponential matrix characterizing the sampling effects is developed while the sampling rate is fully considered in the given conditions. Moreover, more special situations of sampled controllers are considered. Two numerical examples are offered to confirm the effectiveness and superiority of the methods proposed in this study.

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Acknowledgements

This work was supported by Open Project of Key Field Alliance of Liaoning Province (Grant No. 2022-KF-11-03), and National Natural Science Foundation of China (Grant Nos. 61903076, 62073158). The authors would like to thank the anonymous associate editor and reviewers for their very helpful comments and suggestions.

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Authors and Affiliations

  1. School of Information and Control Engineering, Liaoning Petrochemical University, Fushun, 113001, China

    Guoliang Wang & Siyong Song

  2. College of Information and Engineering, Northeastern University, Shenyang, 110819, China

    Chao Huang

Authors
  1. Guoliang Wang
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  2. Siyong Song
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  3. Chao Huang
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Correspondence to Guoliang Wang.

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Wang, G., Song, S. & Huang, C. Stochastic stabilization of Markovian jump systems closed by a communication network: an auxiliary system approach. Sci. China Inf. Sci. 66, 202202 (2023). https://doi.org/10.1007/s11432-022-3701-7

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  • DOI: https://doi.org/10.1007/s11432-022-3701-7

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