Abstract: By means of the Lyapunov method and the robust control theory, a robust guaranteed cost control appproach is presented for the networked control systems (NCS), which is of the single-packet transmission and the bounded random communication time-delay. The NCS is modeled as a discrete uncertain time-delay control system. The effect of the random communication time-delay on the systems is converted to the unknown bounded uncertain parameter disturbance. A sufficient condition for the existence of the robust guaranteed cost control law for the systems is proved, and the design of the robust guaranteed cost state feedback controller for the NCS is solved by a set of linear matrix inequalities. Finally, a numerical example shows the effectiveness of the proposed methed.

Key words: networked control systems, time-delay, robust guaranteed cost control, state feedback