Observer-based disturbance rejection for linear systems by aperiodical sampling control

This paper is devoted to introduce integral-based triggering condition to design the observer-based controller for linear systems with disturbances. A model-based form is employed to generate the control signals. Based on the different cases of communication channels, the controller and the observer are implemented by three different architectures. Furthermore, for all the architectures, the designed closed-loop systems satisfy a prescribed ℓ2-ℓ∞ performance and exclude Zeno behaviour. Finally, a numerical example is provided to illustrate the efficiency and the feasibility of the proposed results.