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

In this paper, passivity and passivation problems for event-triggered feedback interconnected systems are addressed. We consider passivity in two event-triggered control schemes based on the location of the event-triggered samplers: sampler at plant output and sampler at 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 proposed guarantees that these indices can be achieved. Then the passivation problem is considered and passivation conditions are provided. The passivation conditions depend on the passivity indices of the plant and controller and also the event-triggering condition, which reveals the trade off between performance (passivity level) and communication resource utilization.