Event-triggered robust RHC of continuous-time nonlinear systems

The event-triggered control is of compelling features in exploiting system resources, and thus has found many applications in sensor networks, networked control systems, multi-agent systems, and so on. In this chapter, we study the event-triggered RHC problem for continuous-time nonlinear systems subject to bounded disturbances. An event-triggered mechanism is first designed by measuring the error between the system state and its optimal prediction; the event-triggered RHC algorithm, built upon the triggering mechanism and the dual-mode approach, is then designed. The rigorous analysis of the feasibility and stability are conducted, and the sufficient conditions for ensuring the feasibility and stability are developed. We show that the feasibility of the event-triggered RHC algorithm can be guaranteed if, the prediction horizon is designed properly and the disturbances are small enough. Furthermore, it is shown that the stability is related to the prediction horizon, the disturbance bound and the triggering level, and that the closed-loop system is stabilized into a robust invariant set under the proposed conditions. Finally, a case study is provided to verify the theoretical results.