Abstract
This paper is concerned with the problem of $H$ ∞ controller design for a kind of networked control systems with network induced time delay and random data packet dropout. Assuming that the network-induced time delay is less than one sampling period of the control system. The data packet dropout obeys the Bernoulli process and the closed-loop system mathematical model is abstained by the means of state aug-mention method. Moreover, the condition of the existence for the $H$ ∞ control law which makes closed-loop control system exponentially mean-square stable is derived through Lyapunov stability theory. The controller gain matrix can be easily obtained by the Matlab LMI toolbox. The effectiveness of the method proposed in this paper is illustrated by a numerical example.
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