Event-triggered integral sliding mode control for linear systems with disturbance

An event-triggered integral sliding mode controller design problem for linear systems with disturbance is investigated in this paper. A time-varying triggering threshold is employed in the event-triggered condition to guarantee that the trajectory of system will enter a bounded region. Two types of integral sliding mode switching functions are established. One is the continuous-state-dependent sliding mode switching function, which is used to analyze the reachability of sliding mode surface. The other is the triggered-state-dependent sliding mode switching function, which is applied to design the event-triggered integral sliding mode controller. Moreover, a sufficient condition of ultimate boundedness for sliding motion is established and a positive lower bound of the internal execution time is ensured. Finally, two examples are presented to illustrate the effectiveness of obtained theoretical results. (C) 2020 Elsevier B.V. All rights reserved.