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In this article, the actuator fault estimation of a networked control system (NCS) with packet dropout is studied. First, a Markov chain is utilized to describe the packet loss behaviour. Then, the global system is modelled as a Markovian jump linear system (MJLS). Next, a proportional-integral observer is used to estimate the actuator's fault. Sufficient conditions are written in the form of linear matrix inequality (LMI) after using the stochastic Lyapunov-Krasovskii functional. By applying matrix theory skills, we introduce some slack variables in the LMI for more relaxation. The obtained LMI has more advantages than others existing in the literature. Finally, a simulation is provided to show the validity of the proposed approach and compare the obtained results with other presented works.

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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