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

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.

Automated summary

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