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Optimal Output Tracking Control and Stabilization of Networked Control Systems with Packet Losses

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Abstract

This paper studies the optimal output tracking control and stabilization for networked control systems with packet losses via output feedback control. Both finite-horizon and infinite-horizon cases are considered. For the finite-horizon case, the authors introduce an augmented system according to the state variable and the reference trajectory for the first time. Based on a set of difference Riccati equations, an optimal output feedback tracking controller is proposed by applying the stochastic maximum principle. And an optimal estimator is presented. For the infinite-horizon case, a necessary and sufficient condition for the stabilization of the system is provided. And an optimal output feedback stabilizing tracking controller is obtained by establishing a set of algebraic Riccati equations. Finally, numerical examples are given to verify the proposed results.

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Authors and Affiliations

  1. School of Electrical Engineering, University of Jinan, Jinan, 250022, China

    Yue Liu & Chunyan Han

Authors
  1. Yue Liu
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  2. Chunyan Han
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Corresponding author

Correspondence to Chunyan Han.

Additional information

This paper was supported by the National Natural Science Foundation of China under Grant Nos. 61473134, 61573220, U1806204, the Postdoctoral Science Foundation of China under Grant No. 2017M622231, and the Fundamental Research Funds of Shandong University under Grant No. 2017JC009.

This paper was recommended for publication by Editor LIU Guoping.

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Liu, Y., Han, C. Optimal Output Tracking Control and Stabilization of Networked Control Systems with Packet Losses. J Syst Sci Complex 34, 602–617 (2021). https://doi.org/10.1007/s11424-020-9093-0

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  • DOI: https://doi.org/10.1007/s11424-020-9093-0

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