Event-Triggered Controller Synthesis for Dynamical Systems with Temporal Logic Constraints

TL;DR

This paper introduces an event-triggered control framework for dynamical systems with temporal logic constraints, ensuring logical satisfaction while reducing costs and accommodating bounded delays.

Contribution

It develops a method to confine event-triggered trajectories within a tube around ideal trajectories, maintaining logical constraints and handling bounded delays.

Findings

The approach guarantees logical constraint satisfaction under event-triggered control.

It reduces sensing and communication costs compared to continuous feedback.

The method is effective for systems with bounded delays.

Abstract

In this work, we propose an event-triggered con- trol framework for dynamical systems with temporal logical constraints. Event-triggered control methodologies have proven to be very efficient in reducing sensing, communication and computation costs. When a continuous feedback control is re- placed with an event-triggered strategy, the corresponding state trajectories also differ. In a system with logical constraints, such small deviation in the trajectory might lead to unsatisfiability of the logical constraints. In this work, we develop an approach where we ensure that the event-triggered state trajectory is confined within an tube of the ideal trajectory associated with the continuous state feedback. At the same time, we will ensure satisfiability of the logical constraints as well. Furthermore, we show that the proposed method works for delayed systems as long as the delay is bounded by a certain quantity.