Takagi–Sugeno Fuzzy Control for a Nonlinear Networked System Exposed to a Replay Attack
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.
Topics & Concepts
Control theory (sociology)Nonlinear systemMATLABComputer scienceControl (management)Inverted pendulumController (irrigation)Stability (learning theory)Fuzzy logicLinear matrix inequalityFuzzy control systemMathematicsMathematical optimizationBiologyOperating systemMachine learningArtificial intelligenceAgronomyPhysicsQuantum mechanicsStability and Control of Uncertain SystemsNeural Networks Stability and SynchronizationDistributed Control Multi-Agent Systems