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Observer-based security control for Markov jump systems under hybrid cyber-attacks and its application via event-triggered scheme

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Abstract

This article investigates the observer-based security control of discrete-time Markov jump systems (MJSs) subject to hybrid cyber-attacks and unmeasured states via event-triggered scheme. The event-triggered scheme (ETS) is being developed to relieve more network burdens. A Luenburger observer is used to estimate the unmeasured states. In this work, the hybrid cyber attack is addressed, which contains deception attacks and DoS attacks. It is anticipated that input control signals sent across a network are vulnerable to hybrid cyber-attacks in which adversaries could inject fake data into the control signals. Since system state information is usually not fully known, an observer-based controller is built to stabilize the system and keep the right performance index even when hybrid cyber-attacks happen. By solving linear matrix inequalities (LMIs), the controllers and observers are also obtained. Lastly, inverted pendulum applications are shown to show how well and realistically the theoretical results can be used to respond to and get rid of the effects of hybrid cyber-attacks.

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Acknowledgements

The Deanship of Scientific Research (DSR) at King Abdulaziz University, Jeddah, Saudi Arabia has funded this project under grant no. FP-131-43.

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Authors and Affiliations

  1. Complex Systems and Networked Science Lab, Department of Mathematics, Thiruvalluvar University, Vellore, Tamil Nadu, 632 115, India

    M. Mubeen Tajudeen & M. Syed Ali

  2. Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, Chennai, Tamil Nadu, 603 203, India

    R. Perumal

  3. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, Saudi Arabia

    Hamed Alsulami & Bashir Ahmad

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  1. M. Mubeen Tajudeen
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  2. M. Syed Ali
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  3. R. Perumal
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  5. Bashir Ahmad
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Correspondence to R. Perumal.

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Tajudeen, M.M., Ali, M.S., Perumal, R. et al. Observer-based security control for Markov jump systems under hybrid cyber-attacks and its application via event-triggered scheme. Soft Comput 28, 5155–5171 (2024). https://doi.org/10.1007/s00500-023-09234-1

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