Observer-based event-triggered control of linear system with two-time scales
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1The Seventh Research Division, School of Automation Science and Electrical Engineering, Beihang University, Beijing, 100191, China.
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.
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