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Quantized Stabilization for Highly Nonlinear Stochastic Delay Systems by Discrete-Time Control

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Abstract

In this article, some new results of quantized discrete feedback control are revealed for stochastic delay systems via discrete-time state and mode observations (DSMO). Particularly, the coefficients of considered hybrid stochastic systems do not satisfy the linear growth condition (LGC). The main emphasis is to design a quantized feedback control law that ensures \(H_\infty \) stable and exponentially stable of the integrated systems. Based on DSMO, the desired controller can be fairly constructed. Finally, the correctness of presented results is testified by a numerical case.

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Acknowledgements

This work was supported by the following grants: National Natural Science Foundation of P.R. China (No. 61973170, 61973168), the Fundamental Research Funds for the Central Universities (No. 2020ACOCP02).

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Authors and Affiliations

  1. School of Automation, CICAEET, Nanjing University of Information Science and Technology, Nanjing, 210044, Jiangsu, China

    Gongfei Song, Haiyang Wang & Tao Li

  2. Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, East China University of Science and Technology, Shanghai, 200237, China

    Gongfei Song

  3. School of Information and Control Engineering, Qingdao University of Technology, Qingdao, 266520, Shandong, China

    Yanqian Wang

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  1. Gongfei Song
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Song, G., Wang, H., Li, T. et al. Quantized Stabilization for Highly Nonlinear Stochastic Delay Systems by Discrete-Time Control. Circuits Syst Signal Process 41, 2595–2613 (2022). https://doi.org/10.1007/s00034-021-01905-4

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