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Finite-Time Stabilization of Multi-rate Networked Control System Based on Predictive Control

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Abstract

This paper deals with the problem of finite-time stabilization for the multi-rate networked control system with network-induced time delays. In order to guarantee the finite-time stability and overcome the adverse impact of network-induced time delays in both sensor-to-controller channel and controller-to-actuator channel, a networked predictive control strategy is proposed based on multi-rate sampling mechanism. By utilizing the techniques of lifting and augmenting, the augmented closed-loop system is derived with a uniform sampling rate. By applying the Lyapunov stability theorem, sufficient conditions are established such that the multi-rate networked control system can be finite-time stabilized. Furthermore, the gain matrices are determined for the observer and the controller by solving bilinear matrix inequality or linear matrix inequality. Finally, a numerical example is presented to show the validity of the obtained results.

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Authors and Affiliations

  1. Department of Mathematics, Harbin University of Science and Technology, Harbin, 150080, China

    Hairui Zhao, Dongyan Chen & Jun Hu

  2. Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems, Harbin University of Science and Technology, Harbin, 150080, China

    Hairui Zhao, Dongyan Chen & Jun Hu

  3. College of Science, Qiqihar University, Qiqihar, 161006, China

    Junhua Du

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  1. Hairui Zhao
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  2. Dongyan Chen
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Correspondence to Dongyan Chen or Jun Hu.

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This work was supported in part by the National Natural Science Foundation of China under Grants 12071102 and 61673141, the Natural Science Foundation of Heilongjiang Province of China under Grant A2018007, the Fundamental Research Funds in Heilongjiang Provincial Universities of China under Grant 135509121 and the Educational Research Project of the Qiqihar University of China under Grant YB201904.

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Zhao, H., Chen, D., Hu, J. et al. Finite-Time Stabilization of Multi-rate Networked Control System Based on Predictive Control. Circuits Syst Signal Process 41, 661–683 (2022). https://doi.org/10.1007/s00034-021-01803-9

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