  In an event-based scenario, the system decides when to update the actuators
based on a real time triggering condition on the measured signals. This
condition can be defined in various forms and varies depending on the system
properties and design problem. This paper proposes a framework to design the
triggering condition while keeping Lp performance within desired limits. Our
general framework captures several existing state-based triggering rules as a
special case, and can achieve the performance objectives while reducing
transmissions. Indeed, this general structure is shown to enlarge the minimum
inter-event time by a specified amount, for a desired period of time. Numerical
examples suggest that the proposed mechanism effectively enlarges the average
sampling time.
