Bio: Xiang Ren is an academic researcher from Beihang University. The author has contributed to research in topics: Singular perturbation & Linear system. The author has an hindex of 1, co-authored 1 publications receiving 1 citations.
TL;DR: The singular perturbation technique is used to analyse the stability of the event-triggered control closed-loop system with a dual-stage event-triggering condition and the relations between the parameters in the events can be selected in a range independent of the matrices in the model.
Abstract: In this paper, the model-based event-triggered control is addressed for a class of linear systems with two time scales. The singular perturbation technique is used to analyse the stability of the e...
TL;DR: In this article , two event-triggering conditions are designed for the slow and fast subsystems of the singularly perturbed systems based on the state errors between the observer and models.
Abstract: In this paper, the stabilization of singularly perturbed systems by means of observer-based event-triggered control is studied. To obtain the ultimately bounded stability of the closed-loop system, two event-triggering conditions are designed, respectively, for the slow and the fast subsystems of the singularly perturbed systems based on the state errors between the observer and models. In each event-triggering condition, there are two different stages to be designed. In the first stage, the event-triggering conditions are given based on the observer error dynamics. While in the second stage, the absolute type event-triggering conditions are used. Under the designed event-triggering conditions, Zeno behavior can be eliminated from the closed-loop systems. Finally, numerical examples are provided to illustrate the efficiency and feasibility of the theoretical results.