Observer-based H∞ control for networked non-linear systems with random communication delays

This paper investigates the observer-based H-infinity control problem for a class of networked non-linear systems with global Lipschitz non-linearities and random communication delays. The random communication delay is modelled as a Bernoulli distributed white sequence with a known conditional probability distribution. In the presence of random communication delays, sufficient conditions for the existence of an observer-based feedback controller are derived, such that the closed-loop networked non-linear system is globally exponentially stable in the mean-square sense, while a prescribed H-infinity disturbance rejection attenuation performance is also guaranteed. Then, with the help of the linear matrix inequality solvers, the observer-based H-infinity controller is designed. Finally, a numerical example is used to demonstrate the effectiveness of the proposed method.