# Event-Triggered Design with Guaranteed Minimum Inter-Event Times and Lp Performance

## TL;DR

This paper introduces a flexible event-triggered control framework that guarantees minimum inter-event times and maintains Lp performance, effectively reducing communication while ensuring system stability.

## Contribution

It presents a general design framework that encompasses existing rules and enhances inter-event time guarantees while preserving performance.

## Key findings

- Enlarges minimum inter-event times by a specified amount.
- Reduces transmission frequency without compromising Lp performance.
- Numerical examples confirm increased average sampling times.

## Abstract

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.