Observer-based output-feedback stabilization of nonlinear systems with periodically event-triggered...

In this paper, observer-based state feedback stabilization problem for a class of strict-feedback nonlinear systems with periodically event-triggered sampled-output-data is investigated. The output of the nonlinear system is sampled periodically but is monitored and determined to be transferred or not by a deliberately designed event-triggered mechanism. With the transmitted sampled-output-data, the unmeasurable states are estimated by a delicately constructed reduced-order observer and the state feedback stabilizer, elaborately designed by utilizing the homogeneous domination approach, is implemented to make the closed-loop nonlinear system asymptotically stable. The proposed method not only introduces a periodically event-triggered mechanism to determine the time-varying sampling instants, instead of just pointing out their existence, to update the designed observer and controller, but also alleviates the conservatism in stability analysis of closed-loop nonlinear system, which does not require the energy function to monotonically decrease, only to be bounded at inter-sampling intervals. Lastly, simulations are provided to demonstrate the efficacy of the proposed approach.