Event-Triggered Design With Guaranteed Minimum Interevent Times and Lₚ Performance

In an event-based scenario, a system decides when to update the actuators based on a real-time triggering condition (TC) 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 TC while keeping Lpperformance within desired limits. Our general framework captures several existing state-based triggering rules as a special case, and it can achieve the performance objectives while reducing transmissions. Indeed, this general structure is shown to enlarge the minimum interevent time by a specified amount, for a desired period of time. Numerical examples suggest that the proposed mechanism effectively enlarges the average sampling time.