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Finite-time \({H}_{\infty }\) predictive control for stochastic networked control systems with delays and packet dropouts

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Abstract

The work investigates the finite-time \({H}_{\infty }\) predictive control problem for stochastic networked control systems (NCSs) with communication constraints. Firstly, by absorbing the phenomena of unmeasurable state and missing measurements, the non-fragile observer (NFO)-based networked predictive control (NPC) strategy is obtained to dispose the time delays and packet dropouts (TD-PDs). To replace previous prediction strategy, a disturbance-based prediction mechanism is adopted. Moreover, based on it, a novel NPC system model is constructed, where the missing measurement is first considered in studying NPC system with TD-PDs, sufficient conditions are derived to ensure the closed-loop systems (CLSs) stochastic finite-time boundedness (SFTB) with a prescribed \({H}_{\infty }\) performance. Subsequently, criteria for co-designing both the uniform NFO-based predictive controller and the NFO are calculated based on the bounded TD-PDs. Finally, an illustrative example clearly verifies the usefulness of the main result.

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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 paper is supported by the central Guidance on Local Science and Technology Development Fund of Tibet Autonomous Region (No.XZ202201YD0002C).

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Authors and Affiliations

  1. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, China

    Tingting Jiang, Yuping Zhang & Jie Bao

  2. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, China

    Shouming Zhong

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

    Kaibo Shi

  4. School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, Sichuan, China

    Xiao Cai

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  1. Tingting Jiang
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  2. Yuping Zhang
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Correspondence to Yuping Zhang.

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Jiang, T., Zhang, Y., Zhong, S. et al. Finite-time \({H}_{\infty }\) predictive control for stochastic networked control systems with delays and packet dropouts. Nonlinear Dyn 110, 1455–1471 (2022). https://doi.org/10.1007/s11071-022-07674-2

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  • DOI: https://doi.org/10.1007/s11071-022-07674-2

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