Event-triggered algorithms for continuous-time systems based on reachability analysis

For continuous-time nonlinear control systems equipped with a static stabilizing controller, control communications may impose a very constrained input sampling. For such control systems, two event-triggered algorithms are designed in this paper. The first algorithm studies the value of a Lyapunov-like function, whereas the second one suggests to compare component by component the plant state with two asymptotically stable systems. Both methods have a hybrid implementation representing the continuous and discrete dynamics which results of the input sampling of the control input. The suggested techniques combine reachability analysis and recent works on monotone systems and hybrid systems. Main results are illustrated on numerical simulations, and a comparison with other event-triggered algorithms is provided in this paper.