<p>This work investigates the asynchronous sliding-mode control problem for 2-D systems under hybrid cyberattacks. Considering that the communication network is possibly subject to cyberattacks in the process of transmitting data, a Markov process is utilized to establish the random switching process among normal operation, deception attack, and denial-of-service attack. The appropriate hidden Markov model is presented to explain the asynchrony between the mode of the controller and the communication network because the controller does not always have access to the particular mode of the communication network. To address the potential impact of external disturbances and uncertain parameters on system stability, a 2-D sliding surface is built, and an asynchronous sliding-mode control law is designed using a hidden Markov model. The reachability of the system to the predefined sliding surface and its asymptotically mean-square stability with a given <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(H_{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> performance index under hybrid cyberattacks are examined using the Lyapunov method and linear matrix inequalities. Finally, the application of obtained theoretical results is illustrated via the Darboux equation.</p>

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Asynchronous Sliding-Mode Control for 2-D Systems Under Markov Networks with Hybrid Cyberattacks

  • Jinzi Geng,
  • Peng Cui,
  • Feng Li,
  • Sangmoon Lee,
  • Suchang Woo

摘要

This work investigates the asynchronous sliding-mode control problem for 2-D systems under hybrid cyberattacks. Considering that the communication network is possibly subject to cyberattacks in the process of transmitting data, a Markov process is utilized to establish the random switching process among normal operation, deception attack, and denial-of-service attack. The appropriate hidden Markov model is presented to explain the asynchrony between the mode of the controller and the communication network because the controller does not always have access to the particular mode of the communication network. To address the potential impact of external disturbances and uncertain parameters on system stability, a 2-D sliding surface is built, and an asynchronous sliding-mode control law is designed using a hidden Markov model. The reachability of the system to the predefined sliding surface and its asymptotically mean-square stability with a given \(H_{\infty }\) H performance index under hybrid cyberattacks are examined using the Lyapunov method and linear matrix inequalities. Finally, the application of obtained theoretical results is illustrated via the Darboux equation.