Guaranteed cost controller design for time-delay network control system

In this paper, the problem of designing guaranteed cost controller is studied for a class of uncertain time-delay network control system. Firstly, the networked control system is established as a class of uncertainty discrete delay system; the system stability is presented in terms of Lyapunov stability theory. Combining with a given quadratic performance index, a necessary and sufficient condition for the existence of guaranteed cost controls is derived, control parameter and guaranteed cost value of guaranteed cost control are given using linear matrix inequalities (LMI) through demonstration. Finally, a numerical example is included for illustration.