Output feedback stabilization of networked switched nonlinear systems with continuous-time observers and inter-sample output predictors.

Abstract

This paper addresses the output stabilization problem for a class of networked switched nonlinear planar systems with continuous-time observers and inter-sample output predictors. The output is sampled at instants determined by two mechanisms, a static event-triggered sampling mechanism and a dynamic one, respectively. Then, combined with the predicted output provided by the inter-sample output predictors, switched continuous-time observers are deliberately developed to estimate the unmeasurable states. Thus, the switched state feedback control strategy can be implemented to make the closed-loop resultant switched systems achieve globally ultimate boundedness under the static event-triggered sampling mechanism and globally asymptotic stability under the dynamic one. The approach proposed in this paper is an emulation method in a hybrid framework. The innovation in technology lies in employing switched continuous-time observers combined with appropriate switched inter-sample output predictors that can not only keep the design of the nonlinear observers in continuous time but also take advantage of the discrete nature of sampling. Simulation results are presented to verify the effectiveness of the proposed method.