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Takagi–Sugeno Fuzzy Control for a Nonlinear Networked System Exposed to a Replay Attack

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  • Reda El Abbadi
  • Hicham Jamouli

Abstract

This article investigates the stabilization problem of a nonlinear networked control system (NCS) exposed to a replay attack. A new mathematical model of the replay attack is proposed. The resulting closed-loop system is defined as a discrete-time Markovian jump linear system (MJLS). Employing the Lyapunov–Krasovskii functional, a sufficient condition for stochastic stability is given in the form of linear matrix inequalities (LMIs). The control law can be obtained by solving these LMIs. Finally, a simulation of an inverted pendulum (IP) with Matlab is developed to illustrate our controller’s efficiency.

Suggested Citation

  • Reda El Abbadi & Hicham Jamouli, 2021. "Takagi–Sugeno Fuzzy Control for a Nonlinear Networked System Exposed to a Replay Attack," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-13, January.
    • Handle: RePEc:hin:jnlmpe:6618105
    DOI: 10.1155/2021/6618105
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