Robust networked predictive control for systems with random network delay

The robust control of networked predictive control systems with random network delay in the feedback channel is studied in this paper. The stabilisation of systems with constant time-delay is discussed by converting the corresponding Lyapunov inequality to a non-linear inequality. To obtain the maximum domain of uncertainties, the non-linear inequality is evolved as a non-linear optimisation control problem. After the optimisation problem is solved, it yields a controller that can stabilise the system and the domain of uncertainties. Furthermore, for the case of random network induced time-delay, robust stabilisation problem can be formulated as a set of inequalities, which are related to the corresponding constant time-delay, respectively. This result is verified by a numerical example.