Abstract— This paper investigates the state feedback control problem of nonlinear networked control systems in presence of data packet dropout. The random data packet dropout is modeled as a Bernoulli distributed sequence with a known conditional probability distribution. The closed-loop system model is obtained through the state augmentation method. The sufficient conditions for the existence of a state feedback controller are derived by means of Lyapunov stability theory such that the closed-loop control system is exponentially stable in the mean-square sense. The maximum bound of the nonlinear item of the control system is also obtained. Then a linear matrix inequality (LMI) based approach for designing such a controller which can be solved by Matlab LMI tool box is presented. Finally, a numerical simulation example is used to demonstrate the effectiveness of the proposed method.
Keywords—Data Packet Dropout, Exponentially Mean-square Stable, Linear Matrix Inequality, Nonlinear.
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