Global stabilization of a chain of integrators by a switching event-triggered bounded control

This paper studies the problem of global stabilization of multiple integrator systems using event-triggered bounded controls. The linear system is described by a chain of integrators of arbitrary length n. A switching event-triggered bounded control law is constructed. This control law switches among a sequence of n event-triggered control laws. A switching strategy is designed for the selection of an individual event-triggered control law and an event-triggering strategy is designed for updating the control value of each of these control laws. This switching event-triggered control law is shown to achieve global asymptotic stabilization. The absence of the Zeno behavior is also established. Simulation results are given to illustrate the theoretical results.