On event-triggered control for integral input-to-state stable systems

In this paper, the stabilization of nonlinear systems by means of event-triggered control is studied. Two kinds of triggering conditions are proposed for a class of systems that only satisfy the integral input-to-state stability with respect to measurement errors. A constant threshold of measurement errors is involved in the first kind of triggering conditions to ensure the ultimately bounded stability, while the second type of triggering conditions is constructed by using a decreasing extra signal as the threshold. The conditions on the extra signal are proposed to guarantee asymptotic stability and exclude Zeno behavior. Moreover, the relationship, between the proposed results and those based on the input-to-state stability, is discussed. Finally, numerical examples are provided to illustrate the efficiency and feasibility of the obtained results.