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Finite-time boundedness and stabilisation of networked control systems with bounded packet dropout

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  • Yeguo Sun

Abstract

In this paper, the finite-time boundedness and stabilisation problems of a class of networked control systems (NCSs) with bounded packet dropout are investigated. The main results provided in the paper are sufficient conditions for finite-time boundedness and stability via state feedback. An iterative approach is proposed to model NCSs with bounded packet dropout as jump linear systems (JLSs). Based on Lyapunov stability theory and JLSs theory, the sufficient conditions for finite-time boundedness and stabilisation of the underlying systems are derived via linear matrix inequalities (LMIs) formulation. Moreover, both sensor-to-controller and controller-to-actuator packet dropouts are considered simultaneously. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.

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  • Yeguo Sun, 2014. "Finite-time boundedness and stabilisation of networked control systems with bounded packet dropout," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(9), pages 1963-1969, September.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:9:p:1963-1969
    DOI: 10.1080/00207721.2012.759632
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    1. Weiming Xiang & Jian Xiao, 2013. "Finite-time stability and stabilisation for switched linear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(2), pages 384-400.
    2. Dongmei Zhang & Xingang Wang, 2012. "Static output feedback control of networked control systems with packet dropout," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(4), pages 665-672.
    3. Xiaoli Luan & Fei Liu & Peng Shi, 2011. "Robust finite-time control for a class of extended stochastic switching systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(7), pages 1197-1205.
    4. Ming Liu & Jia You, 2012. "Observer-based controller design for networked control systems with sensor quantisation and random communication delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 43(10), pages 1901-1912.
    5. Peng Wang & Chongzhao Han & Baocang Ding, 2013. "Stability of discrete-time networked control systems and its extension for robust control," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(2), pages 275-288.
    6. Yeguo Sun & Shiyin Qin, 2011. "Stability analysis and controller design for networked control systems with random time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(3), pages 359-367.
    7. A.H. Tahoun & Hua-Jing Fang, 2011. "Adaptive stabilisation of networked control systems tolerant to unknown actuator failures," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(7), pages 1155-1164.
    8. Dedong Yang & Kai-Yuan Cai, 2011. "Finite-time reliable guaranteed cost fuzzy control for discrete-time nonlinear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(1), pages 121-128.
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    Cited by:

    1. Allal El Moubarek Bouzid & Bogdan Marinescu & Florent Xavier & Guillaume Denis, 2023. "Optimization and Stabilization of Distributed Secondary Voltage Control with Time Delays and Packet Losses Using LMIs," Energies, MDPI, vol. 17(1), pages 1-18, December.

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