Stability analysis of networked control systems with compensation for data packet dropout

The stability of networked control systems (NCSs) with compensation for data packet dropout is analyzed under a novel model in this paper. This work is the first study for the relationship between the compensated algorithm of data packet dropout and the model of NCSs. A Markov chain model is established to describe the dynamical process of the NCS, which is modeled as a four-event constraint asynchronous dynamical systems (ADS). To compensate the lost packets, a compensator with n-predictor is established. The sufficient conditions for exponential stability of the new model are derived by Lyapunov theory in the form of Linear Matrix Inequalities (LMIs). Numerical example shows the correctness and effectiveness of our analysis.