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Decentralized Event-Triggered Control of Discrete-Time Linear Systems Based on Uniformly Ultimate Boundedness

Event-triggered control is a method that the control input is updated only when a certain condition is satisfied (i.e., an event occurs). In this paper, event-triggered control over sensor networks, i.e., decentralized event-triggered control is studied based on the notion of uniformly ultimate boundedness. In uniformly ultimate boundedness, it is guaranteed that if the state reaches a certain set containing the origin, the state stays within this set. Using this notion, the occurrence of events in the neighborhood of the origin is inhibited. First, the design problem of decentralized event-triggered control is formulated. Next, this problem is reduced to an LMI (linear matrix inequality) optimization problem. Finally, the effectiveness of the proposed method is presented by a numerical example.