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

Reda El Abbadi | Zendy; Hicham Jamouli | Zendy

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

Author(s) -

Reda El Abbadi,

Hicham Jamouli

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/6618105

Subject(s) - control theory (sociology) , nonlinear system , matlab , computer science , control (management) , inverted pendulum , controller (irrigation) , stability (learning theory) , fuzzy logic , linear matrix inequality , fuzzy control system , mathematics , mathematical optimization , physics , quantum mechanics , artificial intelligence , machine learning , agronomy , biology , operating system

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.

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