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

Reda El Abbadi and Hicham Jamouli

Mathematical Problems in Engineering, 2021, vol. 2021, 1-13

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6618105

DOI: 10.1155/2021/6618105

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