Passivity Analysis and Passivation of Event-Triggered Interconnected Systems Using Passivity Indices

We consider the passivity analysis and passivation problems for event-triggered feedback interconnected systems. Based on the location of the event-triggered samplers, we consider two event-triggered control schemes respectively: event-triggered sampler of plant output and event-triggered sampler of controller output. For both schemes, we first derive the conditions to characterize the level of passivity for the interconnected system using passivity indices. The event-triggering condition is proposed to guarantee that these indices can be achieved. Then the passivation problem is considered and the passivation conditions are provided. Considering that the passivation condition depends on the passivity indices of the plant and controller and also the event-triggering condition, the trade off between performance (passivity level) and communication resource utilization is discussed.