Observer-based event-triggered control for uncertain fractional-order systems

Abstract

In this paper, the observer-based event-triggered control problem for a class of uncertain fractional-order systems with order 0 < α < 1 is investigated. Owing to the difficulties of measuring system full-state in practice, a fractional-order observer is firstly designed to construct an event-triggered condition, which eventually decides whether the current signal should be transmitted. Then, by utilizing the observer-based feedback controller, a sufficient condition in the form of linear matrix inequalities (LMIs) is presented to guarantee the asymptotic stability of the augmented closed-loop system. After that, the corresponding design conditions for the observer gain and controller gain are provided. Furthermore, the Zeno behavior of the considered systems is discussed, and a positive lower bound of inter-execution intervals is estimated to solve infinite triggering and sampling issues. Finally, an illustrative example and simulations are provided to illustrate the effectiveness of the proposed approaches.