Event-triggered control for linear time-varying systems using a positive systems approach

This paper presents a new design for the event-triggered output feedback control of uncertain linear time-varying systems. Departing from the traditional treatments of event-triggered linear time invariant systems, it is shown that factoring of fundamental solutions as products of solutions of matrix differential equations, together with small-gain arguments and the notions of interval observers and positive systems, lead to a new class of robust event-triggered output-feedback controllers. A key innovation is our use of new event triggers, which use vectors of absolute values instead of the usual Euclidean 2-norms. An illustrative example of a curve tracking system from marine robotics validates the efficacy of the proposed design scheme. (C)& nbsp;2022 Elsevier B.V. All rights reserved.

Automated summary

This paper presents a new design for the event-triggered output feedback control of uncertain linear time-varying systems. It shows that by factoring fundamental solutions and using small-gain arguments, interval observers, and positive systems, a new class of robust event-triggered output-feedback controllers can be obtained. The key innovation lies in the use of new event triggers that employ vectors of absolute values instead of the usual Euclidean 2-norms.