Event-triggered fault detection, isolation and control design of linear systems

In this paper, the problem of event-triggered integrated fault detection, isolation and control (E-IFDIC) for discrete-time linear systems is considered. Using a filter to represent, characterize, and specify the E-IFDIC module, a multi-objective formulation of the problem is presented based on the H
_∞
/H_ performance criterion. It is shown that by using an event-triggered technique applied to both the sensor and filter nodes, the amount of data that is sent through the sensor-to-filter and filter-to-actuator channels are dramatically decreased. A set of linear matrix inequality (LMI) feasibility conditions are derived to ensure the solvability of the problem as well as to simultaneously obtain the filter parameters and the event-triggered conditions. A numerical example is also provided to illustrate the effectiveness of our proposed design methodology.