Output feedback stabilization of discrete time networked systems with external disturbance

We consider the problem of stabilization and disturbance rejection in discrete time systems with limited feedback information as it is commonly the case in Networked Control Systems. In a networked system, transmission of information is constrained by the network bandwidth and availability. Our goal is to decrease the rate at which a perturbed system needs to transmit feedback information to update its controller node while maintaining stability and disturbance rejection properties. A state-disturbance observation approach is presented and we show in this paper that asymptotic stability can be obtained in the presence of constant disturbances. Additionally, we provide conditions for inter-update performance for both, constant and piece-wise constant disturbances.