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

Author:

El Abbadi Reda1ORCID,Jamouli Hicham1ORCID

Affiliation:

1. Laboratory of System Engineering and Decision Law, National School of Applied Sciences, Ibn Zohr University Agadir, Agadir, Morocco

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.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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